Prof. Michał Kleiber, Ph.D., Dr. Habil., Eng.

Department of Information and Computational Science (ZIiNO)
position: professor
telephone: (+48) 22 827 46 92
telephone: (+48) 22 826 12 81 ext.: 259
room: 425
e-mail: mkleiber

Habilitation thesis
1978Duże deformacje ciał sprężysto-plastycznych, teoria i numeryczna analiza konstrukcji 
Professor
1984Title of professor
Other
1994Corresponding Member of Polish Academy of Sciences
2002Member of Polish Academy of Sciences

Supervision of doctoral theses
1.2019-01-31Zawistowski Tomasz  Symulacja zjawisk dynamicznych w wysokociśnieniowej pompie hydraulicznej o zmiennej wydajności704
 
2.2005-06-03Tauzowski Piotr  Obiektowo-zorientowane środowisko obliczeniowe dla zagadnień mechaniki konstrukcji z zastosowaniem do analizy, optymalizacji kształtu i oceny niezawodności układów termolepkosprężystych ze zniszczeniem 
3.2004-10-28Knabel Jarosław  Analiza niezawodności konstrukcji sprężysto-plastycznych przy użyciu powierzchni odpowiedzi 
4.2000-12-23Stocki Rafał  Optymalizacja niezawodnościowa konstrukcji prętowych w zakresie dużych przemieszczeń - teoria i program komputerowy 
5.1998-01-29Mahomed Nawaz  Computational modelling of injection mould filling with a new treatment of free surfaces 
6.1997-06-26Postek Eligiusz  Numeryczna analiza wrażliwości na parametry projektowe dużych nieliniowych układów konstrukcyjnych 
7.1997-06-16Kamiński Marcin  Stochastyczne zagadnienie kompozytu włóknistego z defektami na granicy faz 
8.1997-04-27Jassem Krzysztof  Elektroniczny słownik dwujęzyczny w automatycznym tłumaczeniu tekstu 
9.1995-11-29Witkowski Jerzy  Adaptacyjny system analizy konstrukcji metodą elementów skończonych 
10.1993-10-28Mousa Mohsen Ahmed  Analiza dużych przemieszczeń i wyboczeń płyt Mindlina z dowolnie zlokalizowanymi belkami wzmacniającymi 
11.1993-01-21Kowalczyk Piotr  Numeryczna analiza rozkładu naprężeń w miąższu płucnym z uwzględnieniem oddziaływań między szkieletem tkankowym a przepływającym powietrzem 
12.1993-01-21Rojek Jerzy  Numeryczna analiza nieliniowych zagadnień mechaniki konstrukcji złożonych z części odkształcalnych i sztywnych: zastosowanie do analizy kabin ciągników 
13.1992Madej Dariusz  Komputerowa analiza rysunków technicznych na potrzeby systemów komputerowego wspomagania projektowania 
14.1990Ambroziak Jacek  Implementacja i zastosowanie wybranej architektury systemu wnioskującego 
15.1988Breitkopf Piotr  Elementy sztucznej inteligencji w numerycznej analizie konstrukcji 
16.1982Zacharski Andrzej  Nieliniowa analiza statyczna powłok dowolnego kształtu metodą elementów skończonych 
17.1982Sosnowski Włodzimierz  Statyczna analiza płaskich sprężysto-plastycznych ram dwuteowych z uwzględnieniem możliwości lokalnego wyboczenia środników 
18.1981Lutoborski Adam  Całkowanie numeryczne w liniowej analizie powłok metodą elementów skończonych 
19.1981Hien Tran-Duong  Nieliniowa dynamika ciał i powłok osiowosymetrycznych poddanych dowolnym obciążeniom 

Recent publications
1.Zawistowski T., Kleiber M., Gap Flow Simulation Methods in High Pressure Variable Displacement Axial Piston Pumps, ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, ISSN: 1134-3060, DOI: 10.1007/s11831-016-9180-5, Vol.24, No.3, pp.519-542, 2017
Abstract:

High pressure variable displacement axial piston pumps are subject to complex dynamic phenomena. Their analysis is difficult, additionally complicated by leakage of the working fluid. Analytically gap flow is calculated with the Reynolds equation which describes the pressure distribution in a thin lubricating layer. The paper presents various approaches to analyze gap flow both in traditional axial piston pump and novel type of hydraulic pump, designed at the Polish Gdansk Institute of Technology. Because of large aspect ratio between the height of the gap and the size of pump elements, the authors present the numerical simulation approach using a local model to define a lubrication gap, linked to a global model of a pump from which boundary conditions were imported. User defined functions implemented in Fluent and Excel were used to calculate the pressure and velocity fields and assess the fluid flow rate.

Affiliations:
Zawistowski T.-Space Research Centre Polish Academy of Science (PL)
Kleiber M.-IPPT PAN
2.Taczała M., Buczkowski R., Kleiber M., Nonlinear buckling and post-buckling response of stiffened FGM plates in thermal environments, COMPOSITES PART B-ENGINEERING, ISSN: 1359-8368, DOI: 10.1016/j.compositesb.2016.09.023, Vol.109, pp.238-247, 2017
Abstract:

We present a nonlinear finite element method to investigate the nonlinear stability of stiffened functionally graded materials (FGM) plates considered as a whole unit. The plates are subjected to mechanical and thermal loads. The material properties are assumed to be temperature dependent and varied gradually across the thickness according to a power law distribution. The nonlinear equations of FGM plates are based on the first-order shear order plate theory. The influence of material, geometrical properties of stiffeners and initial deflections on the buckling and post-buckling response of the stiffened plates are studied in detail. Including the latest information no work has been oriented towards post-buckling analysis of stiffened FGM plates considered as a whole unit.

Keywords:

FGM stiffened plate, nonlinear finite element analysis, post-buckling

Affiliations:
Taczała M.-West Pomeranian University of Technology Szczecin (PL)
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
3.Taczała M., Buczkowski R., Kleiber M., Nonlinear free vibration of pre- and post-buckled FGM plates on two-parameter foundation in the thermal environment, COMPOSITE STRUCTURES, ISSN: 0263-8223, DOI: 10.1016/j.compstruct.2015.11.017, Vol.137, pp.85-92, 2016
Abstract:

The geometrically nonlinear free vibration of functionally graded thick plates resting on the elastic Pasternak foundation is investigated. The motion equations are derived applying the Hamilton principle. We consider the first order shear deformation plate theory (FSDT), in which the modified shear correction factor is required. A 16-noded Mindlin plate element of the Lagrange family which is free from shear locking due to small thickness of the plate used. The material properties are assumed to be temperature-dependent and expressed as a nonlinear function of temperature. Because the FGM plates are not homogeneous, the basic equations are calculated in the equivalent physical neutral surface which differs from the geometric mid-plane. In the pre-buckling range natural frequencies decrease ultimately reaching zero for critical stress in the bifurcation point.

Keywords:

FGM plates, Two-parameter elastic foundation, Nonlinear free vibration, Finite element method

Affiliations:
Taczała M.-West Pomeranian University of Technology Szczecin (PL)
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
4.Buczkowski R., Kleiber M., A study of the surface roughness in elasto-plastic shrink fitted joint, TRIBOLOGY INTERNATIONAL, ISSN: 0301-679X, DOI: 10.1016/j.triboint.2016.02.021, Vol.98, pp.125-132, 2016
Abstract:

The aim of the present study is to provide a methodology for improving the design of a shrink-fitted assembly by focusing on two objectives: (i) taking into account the surface roughness of components, (ii) introducing a non-classical hardening friction law in which tangential micro-slip displacements are considered. The calculations have been made for elasto-plastic properties of component in axisymmetric conditions. Both the loading and unloading processes have been considered. After finite element simulations, it is observed that overall static behaviour of the assembly is influenced considerably by the surface finish of the mating components. The current numerical results of the shrink fitted assembly received from the coarse mesh could be treated as contact benchmark for further finite element analyses using as closely as possible identical input data.

Keywords:

Shrink-fit, Roughness, Finite elements, Elasto-plasticity

Affiliations:
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
5.Kleiber M., Quo Vadis, Europa?, Przyszłość. Świat - Europa - Polska, ISSN: 1895-0949, Vol.1, No.33, pp.103-107, 2016
6.Taczała M., Buczkowski R., Kleiber M., Postbuckling analysis of functionally graded plates on an elastic foundation, COMPOSITE STRUCTURES, ISSN: 0263-8223, DOI: 10.1016/j.compstruct.2015.06.055, Vol.132, pp.842-847, 2015
Abstract:

First, we discuss characteristics of functionally graded materials and describe methods of their manufacturing. Then, we provide an overview of analytical and numerical methods for calculating plates, with characteristics of functionally graded materials, resting on elastic foundation. The presented numerical results have been obtained by the finite elements method, referring to post-bifurcation problems of thermally loaded plates. The first-order shear deformation theory (FSDT) has been employed. In numerical calculations we have used a new 16-node plate element, free of problems related to shear locking.

Keywords:

Thick plates, Functionally graded materials, Finite elements method

Affiliations:
Taczała M.-West Pomeranian University of Technology Szczecin (PL)
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
7.Buczkowski R., Taczała M., Kleiber M., A 16-node locking-free Mindlin plate resting on two-parameter elastic foundation - static and eigenvalue analysis, COMPUTER ASSISTED METHODS IN ENGINEERING AND SCIENCE, ISSN: 2299-3649, Vol.22, pp.99-114, 2015
Abstract:

The Pasternak elastic foundation model is employed to study the statics and natural frequencies of thick plates in the framework of the finite element method. A new 16-node Mindlin plate element of the Lagrange family and a 32-node zero-thickness interface element representing the response of the foundation are used in the analysis. The plate element avoids ill-conditioned behaviour due to its small thickness. In the case of the eigenvalue analysis, the equation of motion is derived by applying the Hamilton principle involving the variation of the kinetic and potential energy of the plate and foundation. Regarding the plate, the firstorder shear deformation theory is used. By employing the Lobatto numerical integration in which the integration points coincide with the element nodes, we obtain the diagonal form of the mass matrix of the plate. In practice, diagonal mass matrices are often employed due to their very attractive timeintegration schemes in explicit dynamic methods in which the inversion of the effective stiffness matrix as a linear combination of the damping and mass matrices is required. The numerical results of our analysis are verified using thin element based on the classical Kirchhoff theory and 16-node thick plate elements.

Keywords:

Mindlin plate, two-parameter elastic foundation, Lobatto integration, bending and eigenvalue analysis

Affiliations:
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Taczała M.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
8.Kundzewicz Z.W., Masson-Delmotte V., Cubasch U., Skea J., Kleiber M., Climate change – Is it worse than expected?, PAPERS ON GLOBAL CHANGE IGBP, ISSN: 1730-802X, DOI: 10.1515/igbp-2015-0012, Vol.22, pp.9-18, 2015
Abstract:

A review of findings contained in the IPCC AR5 Synthesis Report, of particular relevance to the Polish audience, is offered. Polish perspectives on coal-climate nexus are discussed in a broader, universal, context. Positive examples of climate policies in other countries are provided. The title of this paper refers to a public conference organized in Warsaw by the Embassies of France, Germany, and the UK and the Polish Academy of Sciences.

Keywords:

climate change, climate change mitigation, IPCC, coal-climate nexus in Poland

Affiliations:
Kundzewicz Z.W.-other affiliation
Masson-Delmotte V.-Laboratory of Sciences of Climate and Environment (FR)
Cubasch U.-Free University of Berlin (DE)
Skea J.-Imperial College London (GB)
Kleiber M.-IPPT PAN
9.Kleiber M., Myślenie strategiczne podstawą - i wyzwaniem, Nowe Media, ISSN: 2082-4351, Vol.9, No.1, pp.29-32, 2015
10.Kleiber M., Szubert K., Słowo w sprawie przyszłości polskiego dowodu osobistego, CZŁOWIEK I DOKUMENTY, ISSN: 1895-7552, Vol.38, pp.33-34, 2015
11.Kundzewicz Z., Masson-Delmotte V., Cubasch U., Skea J., Kleiber M., Klimat pod specjalnym nadzorem, Panorama, ISSN: 2300-4479, Vol.7, No.40, pp.2-5, 2015
12.Buczkowski R., Kleiber M., Starzyński G., Normal contact stiffness of fractal rough surfaces, ARCHIVES OF MECHANICS, ISSN: 0373-2029, Vol.66, No.6, pp.411-428, 2014
Abstract:

We used the fractal theory based on a single variable Weierstrass–Mandelbrot function to obtain the normal contact stiffness if rough and smooth isotropic surfaces are pressed against each other. Because in the original fractal theory the distribution of contact area is assumed geometrically, we propose the method in which the actual deformation of asperities and a correction due to asperity coupling (interaction) will be taken into account. This correction is equivalent to an increase of the effective separation by a quantity proportional to the nominal pressure and it has a significant effect on contact stiffness at larger normal loads (low separations). The numerical results demonstrate a nonlinear evolution of the contact stiffness with the normal load in particular in the first stage of loading at low squeezing pressures. We have compared the results of the theoretical contact stiffness using the fractal method with the experimental ultrasonic measurements. Experimental results made on real surfaces agree remarkably well with the theoretical predictions.

Keywords:

fractal model, contact stiffness, ultrasonic measurements

Affiliations:
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
Starzyński G.-IPPT PAN
13.Kleiber M., Nauka i technologia na rzecz bezpieczeństwa państwa w polskich realiach, Bezpieczeństwo Narodowe, ISSN: 1896-4923, Vol.32, pp.61-73, 2014
Abstract:

Poziom nauki i kompetencje technologiczne kluczowych instytucji i firm są istotnym elementem bezpieczeństwa państwa. Niezwykle ważne jest więc przemyślane skoordynowanie działalności całego krajowego sektora badań i innowacji z narodową strategią bezpieczeństwa. Szczególną rolę w ustalaniu priorytetów i finansowaniu badań naukowych w naszym kraju ma dzisiaj Unia Europejska. Dlatego specjalną uwagę należy zwrócić na politykę wspomagania naszego udziału w wiodącym programie badawczym Unii, czyli w Horyzoncie 2020. Oferuje on wiele możliwości wzmocnienia naszych instytucjonalnych kompetencji naukowo-badawczych związanych z szeroko rozumianym bezpieczeństwem, co w powiązaniu z już istniejącym, znaczącym potencjałem naszych ośrodków badawczych stanowi wielką szansę na trwałe wzmocnienie naszych zdolności w tym zakresie.

Affiliations:
Kleiber M.-IPPT PAN
14.Kleiber M., Polska nauka - dalekosiężne aspiracje, niemałe możliwości, zadawnione problemy, Nowe Media, ISSN: 2082-4351, Vol.8, pp.55-61, 2014
15.Kleiber M., Edukacja, nauka i kultura – kluczowe determinanty przyszłości Polski, NAUKA, ISSN: 1231-8515, Vol.3, pp.7-14, 2012
16.Kleiber M., Laudation for Prof. Mildred S. Dresselhaus, PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, ISSN: 0370-1972, DOI: 10.1002/pssb.201140120, Vol.248, No.7, pp.1563-1565, 2011
17.Buczkowski R., Kleiber M., Statistical models of rough surfaces for finite element 3D contact analysis, ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, ISSN: 1134-3060, Vol.16, pp.399-424, 2009
Abstract:

The present study is divided in two parts. In the first one the complete elasto-plastic microcontact model of anisotropic rough surfaces is given. Rough surfaces are modelled as a random process in which the height of the surface is considered to be a two-dimensional random variable. It is assumed that the surface is statistically homogeneous. The description of anisotropic random surfaces is concentrated on strongly rough surfaces; for such surfaces the summits are represented by highly eccentric elliptic paraboloids. The model is based on the volume conservation of asperities with the plasticity index modified to suit more general geometric contact shapes during plastic deformation process. This model is utilized to determine the total contact area, contact load and contact stiffness which are a combination of the elastic, elasto-plastic and plastic components. The elastic and elastoplastic stiffness coefficients decrease with increasing variance of the surface height about the mean plane. The standard deviation of slopes and standard deviation of curvatures have no observable effects on the normal contact stiffness. The part two deals with the solution of the fully three-dimensional contact/friction problem taking into account contact stiffnesses in the normal and tangential directions. An incremental non-associated hardening friction law model analogous to the classical theory of plasticity is used. Two numerical examples are selected to show applicability of the method proposed.

Affiliations:
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
18.Buczkowski R., Kleiber M., Elasto-plastic statistical model of strongly anisotropic rough surfaces for finite element 3D-contact analysis, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, ISSN: 0045-7825, DOI: 10.1016/j.cma.2005.11.014, Vol.195, No.37-40, pp.5141-5161, 2006
Abstract:

The complete elasto-plastic microcontact model of anisotropic rough surfaces is proposed. The description of anisotropic random surfaces is restricted here to strongly rough surfaces; for such surfaces the summits are represented by highly eccentric elliptic paraboloids having their semi-major axes oriented in the direction of the grain. The present model is based on the volume conservation of asperities in which the plasticity index is modified to suit more general geometric contact shapes during plastic deformation process. This model is utilized to determine the total contact area, contact load and contact stiffness which are a mixture of both the elastic and plastic components. For low nominal pressures both the elastic and elasto-plastic contact stiffness is found to be almost linear in relation to the normal load. The elastic and elasto-plastic stiffness coefficients decrease with increasing variance of the surface height about the mean plane. The standard deviation of slopes and standard deviation of curvatures have no observable effects on the normal contact stiffness.

Keywords:

Rough surfaces, Statistical modelling, Contact stiffness, Finite element method

Affiliations:
Buczkowski R.-West Pomeranian University of Technology Szczecin (PL)
Kleiber M.-IPPT PAN
19.Tauzowski P., Kleiber M., Parameter and shape sensitivity of thermo-viscoelastic response, COMPUTERS AND STRUCTURES, ISSN: 0045-7949, DOI: 10.1016/j.compstruc.2005.09.026, Vol.84, pp.385-399, 2006
Abstract:

Gradient-based optimization methods are still most efficient methods for solving structural optimization problems. The sensitivity formulation has been one of the central issues in the gradient-based optimization algorithm. Thermo-viscoelastic constitutive and parameter sensitivity formulation are presented in this paper. The model considered is composed of two coupled subproblems: the transient heat transfer problem and a rheological, viscoelastic material model known in literature as the standard model. Design variables considered are with material and shape-defining parameters. The investigation includes a finite element formulation and implementation in an object-oriented finite element environment. Results of numerical analysis are presented.

Keywords:

Finite element method, Sensitivity analysis, Viscoelasticity

Affiliations:
Tauzowski P.-IPPT PAN
Kleiber M.-IPPT PAN
20.Postek E., Kleiber M., Niezawodność dużych nieliniowych układów konstrukcyjnych – wybrane studium, PRZEGLĄD MECHANICZNY, ISSN: 0033-2259, No.5, pp.33-37, 2002
Abstract:

W artykule przedstawiono sposób postępowania podczas szacowania niezawodnoÊci dużych nieliniowych układów konstrukcyjnych. Nacisk położono na zastosowanie metody różniczkowania bezpośredniego (DDM). Jako przykład wybrano żelbetową konstrukcję budynku osłonowego reaktora nuklearnego.

Keywords:

inżynieria nuklearna, niezawodność, analiza wrażliwości, konstrukcje żelbetowe

Affiliations:
Postek E.-IPPT PAN
Kleiber M.-IPPT PAN
21.Postek E., Siemaszko A., Kleiber M., Reliability Study of a Containment Shell, JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 1429-2955, Vol.40, No.1, pp.179-203, 2002
Abstract:

Computational time needed for reliability abalysis of realistic structural problems as a rule is very high. Improvements in efficiency are critical to allow solution of large realistic problems. The realiability analysis is usually performed using approximate First Order Reliability Method (FORM). Iterative solution procedures of FORM require extensive design sensitivity computations of high accuracy. The design of realistic structures requires computer-based numerical procedures, such as finite element analysis. The design sensitivity gradients are not explicitly available in terms of design variables. The most intensive computational task of design sensitivity computation should be carried out by highly efficient and accurate methods such as discrete design sensitivity analysis, This paper describes requirements for design sensitivity information for reliability analysis. The way of coupling reliability computationa with discrete AVM and DDM methods of design sensitivity analysis is pointed out. A computational program developed for layered concrete shells allows one to solve large realistic reliability problems. The reliability study of an RC nuclear containment shell is carried out. Reliability studies show which pf mthe parameters have the highest impact on the reliability of the vessel.

Keywords:

Nuclear engineering, reliability, design sensitivity, FEM

Affiliations:
Postek E.-IPPT PAN
Siemaszko A.-IPPT PAN
Kleiber M.-IPPT PAN
22.Antúnez H.J., Kleiber M., Sensitivity analysis of metal forming processes involving frictional contact in steady state, JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, ISSN: 0924-0136, DOI: 10.1016/0924-0136(96)02375-8, Vol.60, No.1-4, pp.485-491, 1996
Abstract:

A simple element to model frictional contact in steady state metal forming processes is presented together with the sensitivity analysis to the friction coefficient in a Coulomb friction law. The interest of such model arises from the analysis of rolling processes and a two dimensional approach to cutting problems, where the contact zone is to be determined, however a stationary state is present in most part of the operation. The flow approach proves to be an adequate method to handle efficiently this situation. The contact elements impose a restriction in the velocity component normal to the boundary and a tangential friction force opposite to the velocity. The parts of the boundary which are not in closed contact are treated as free surfaces, which must fulfill the condition of being streamlines. Sensitivity analysis with respect to the friction coefficient is performed by the Direct Differentiation Method (DDM). The effect of variations in this parameter is discussed for the simulation of an extrusion and a cutting problem.

Keywords:

Computer simulation, Extrusion, Friction, Metal cutting, Rolling, Sensitivity analysis, Contact zone, Coulomb friction law, Direct differentiation method, Flow approach, Friction coefficient, Frictional contact, Steady state metal forming processes, Metal forming

Affiliations:
Antúnez H.J.-IPPT PAN
Kleiber M.-IPPT PAN
23.Antúnez H.J., Kleiber M., Parameter sensitivity of metal forming processes, Computer Assisted Mechanics and Engineering Sciences, ISSN: 1232-308X, Vol.3, No.3, pp.263-282, 1996
Abstract:

The flow formulation for metal forming analysis based on a rigid-viscoplastic material rncdel is considered. Specifically, sensitivity evaluation techniques are discussed for different solution variables with respect to variations in parameters entering the constitutive (and other) equations such as material constants, imposed velocities or friction coefficient. A method to avoid spurious pressure modes is introduced which allows to use Ql/Ql elements and thus to accurately calculate pressures, their sensitivities and friction forces. In addition, one pressure unknown for each node is available in this method, thus yielding a finer discretisation for this variable.

Keywords:

Computer aided analysis, Friction, Sensitivity analysis, Velocity, Viscoelasticity, Metal forming processes, Parameter sensitivity, Metal forming

Affiliations:
Antúnez H.J.-IPPT PAN
Kleiber M.-IPPT PAN
24.Antúnez H.J., Kleiber M., Sensitivity of forming processes to shape parameters, Computer Assisted Mechanics and Engineering Sciences, ISSN: 1232-308X, Vol.137, No.3-4, pp.189-206, 1996
Abstract:

Shape sensitivity analysis is presented for metal-forming processes described in terms of the flow approach [1]. The direct differentiation method is employed to derive the sensitivity expressions. The continuum approach is adopted so that both the equilibrium equations and response functional are differentiated before discretization. The necessary derivatives with respect to shape design variables are calculated making use of the framework already available for isoparametric elements (control volume approach). In finite element implementation a system of equations is obtained which has the same system matrix as the equilibrium problem. The right-hand side is calculated by partially differentiating the internal and external forces with respect to the design parameters. The procedure is illustrated by calculating sensitivities of some independent and dependent variables with respect to the die angle in an extrusion problem and to the roll radius in a plane rolling.

Keywords:

Calculations, Continuum mechanics, Differentiation (calculus), Finite element method, Matrix algebra, Metal extrusion, Metal forming, Rolling, Die angle, Direct differentiation method, Discretization, Equilibrium equations, Response functional, Roll radius, Shape sensitivity analysis, Sensitivity analysis

Affiliations:
Antúnez H.J.-IPPT PAN
Kleiber M.-IPPT PAN
25.Kleiber M., Hien Tran-D., Antúnez H., Kowalczyk P. , Parameter sensitivity of elastoplastic response, Engineering Computations, ISSN: 0264-4401, DOI: 10.1108/02644409510799604, Vol.12, No.3, pp.263-280, 1995
Abstract:

The general problem of sizing, material and loading parameter sensitivity of non‐linear systems is presented. Both kinematic and path‐dependent material non‐linearities are considered; non‐linear sensitivity path is traced by an incremental solution strategy. The variational approach employed is quite general and can be employed for studying sensitivity of various path‐dependent highly non‐linear phenomena. Both the direct differentiation method (DDM) and adjoint system method (ASM) are discussed in the context of continuum and finite element mechanics. The merits of using the consistent tangent matrix and the necessity of accumulation of design derivatives of stresses and internal parameters are indicated. Aspects of sensitivity problems in metal forming are also discussed. A number of examples illustrate the paper.

Keywords:

Direct differentiation method, Adjoint system method, Metal forming

Affiliations:
Kleiber M.-IPPT PAN
Hien Tran-D.-IPPT PAN
Antúnez H.-IPPT PAN
Kowalczyk P. -IPPT PAN
26.Kleiber M., Hien T.D., Postek E., Incremental finite element sensitivity analysis for nonlinear applications, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, ISSN: 0029-5981, DOI: 10.1002/nme.1620371906, Vol.37, pp.3291-3308, 1994
Abstract:

Finite element formulations for structural sensitivity analysis of non‐linear systems with fixed overall shape are discussed. Both the direct differentiation and adjoint variable methods are employed. The resulting sensitivity algorithms are consistent with time integration scheme adopted for solving equilibrium problem. Effectiveness and computational aspects of the procedures are discussed and compared. Numerical algorithms are shown to be readily implemented in existing finite element codes. Large‐scale examples illustrate the paper.

Keywords:

sensitivity analysis, nonlinear systems, incremental approach, finite element method

Affiliations:
Kleiber M.-IPPT PAN
Hien T.D.-IPPT PAN
Postek E.-IPPT PAN
27.Hien Tran-D., Hung H.X., Kleiber M., Analiza stateczności konstrukcji w systemie POLSAP, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.34, pp.1-70, 1989
28.Kleiber M., Sosnowski W., LASTRAN system nieliniowej analizy konstrukcji metodą elementów skończonych, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.47, pp.1-69, 1985
29.Kotuła W., Kleiber M., Stateczność i wrażliwość na imperfekcje pewnej przestrzennej konstrukcji prętowej, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.29, pp.1-23, 1983
30.Kleiber M., Sosnowski W., ASGRAM sprężysto - plastyczna analiza ram płaskich, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.5, pp.1-64, 1982
31.Boni B., Kleiber M., Sawczuk A., Warunek stanu granicznego przekroju belki dwuteowej poddanej działaniu momentu zginającego siły podłużnej i siły poprzecznej, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.6, pp.1-29, 1982
32.Hien Tran-D., Kleiber M., Numeryczna analiza rozciągania sprężysto - plastycznego pasma osłabionego otworem, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.7, pp.1-14, 1980
33.Kleiber M., Hien Tran-D., DYNAX-L - dynamiczna analiza osiowosymetrycznych ciał i powłok sprężystych poddanych dowolnemu obciążeniu metodą elementów skończonych. Teoria oraz opis i instrukcja użytkowania programu, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.25, pp.1-71, 1980
34.Borkowski W., Kleiber M., Statyczna i dynamiczna analiza dużych deformacji cienkich osiowosymetrycznych powłok sprężysto - plastycznych metodą elementów skończonych, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.35, pp.1-47, 1980
35.Kleiber M., Zacharski A., LOSTAB - numeryczna analiza lokalnej utraty stateczności sprężystych układów płytowych, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.9, pp.1-57, 1979
36.Kleiber M., Duże deformacje ciał sprężysto - plastycznych (Praca habilitacyjna), Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.13, pp.1-187, 1978
37.Kleiber M., Zacharski A., SHELIN - liniowa analiza statyczna cienkich powłok dowolnego kształtu metodą elementów skończonych. Opis programu i instrukcja użytkowania, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.51, pp.1-68, 1978
38.Kleiber M., PLADEP - statyczna analiza dużych deformacji sprężysto, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.48, pp.1-48, 1977
39.Kleiber M., SHELAX - analiza dużych deformacji cienkich osiowosymetrycznych powłok sprężysto, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.49, pp.1-68, 1977

List of recent monographs
1.
592
Kleer J., Kleiber M., Dokąd zmierza Europa, Komitet Prognoz "Polska 2000 Plus" przy Prezydium PAN, pp.1-125, 2018
2.
474
Kleiber M., Kowalczyk P., Introduction to Nonlinear Thermomechanics of Solids, Springer, pp.1-345, 2016
3.
413
Kleer J., Kleiber M., Zagrożenia globalne barierami rozwoju, Polska Akademia Nauk Komitet Prognoz "Polska 2000 Plus", pp.1-153, 2015
4.
414
Kleer J., Kleiber M., Global threats as barriers to development, Polish Academy of Sciences "Poland 2000 Plus Foresight Committee, pp.1-143, 2015
5.
412
Kleiber M., Mądra Polska, IPPT PAN, pp.1-584, 2015
6.
516
Buczkowski R., Kleiber M., Mechanika kontaktu ciał o powierzchniach chropowatych, Wydawnictwo Naukowe PWN, pp.1-214, 2014
7.
48
Kleiber M., Kowalczyk P., Wprowadzenie do nieliniowej termomechaniki ciał odkształcalnych, Instytut Podstawowych Problemów Techniki PAN, pp.1-360, 2011
List of chapters in recent monographs
1.
570
Kleiber M., Taczała M., Buczkowski R., Advances in Computational Plasticity, rozdział: Elasto-Plastic Response of Thick Plates Built in Functionally Graded Material Using the Third Order Plate Theory, Springer International Publishing, pp.185-199, 2018
2.
564
Kleiber M., GLOBALIZACJA, INTEGRACJA EUROPEJSKA A SUWERENNOŚĆ PAŃSTWA, rozdział: MĄDRA POLSKA, ZGODNA EUROPA, SOLIDARNY ŚWIAT, Polska Akademia Nauk Komitet Prognoz "Polska 2000 Plus", pp.156-158, 2017
3.
563
Kleiber M., Ekonomiczna pozycja Europy w świecie, rozdział: Dokąd zmierza Europa – pytanie aktualne jak nigdy przedtem, Dom Wydawniczy ELIPSA, pp.10-16, 2016
4.
411
Taczała M., Buczkowski R., Kleiber M., Współczesna Mechanika Konstrukcji w Projektowaniu Inżynierskim, rozdział: Stateczność płyt o cechach materiałów gradientowych na podłożu sprężystym, Polska Akademia nauk, Komitet Inżynierii Lądowej i Wodnej, pp.375-388, 2015
5.
14
Stocki R., Kolanek K., Jendo S., Kleiber M., Safety and Reliability of Industrial Products, Systems and Structures, rozdział: Continuous and discrete reliability-based optimization of truss structures, CRC Press / Balkema, pp.1-13, 2010
Editor of monographs
1.
296
Kleiber M., Ekoefektywność Technologii, Wydawnicto Naukowe Instytutu Technologii Eksploatacji - Państwowego Instytutu Badawczego (M. Kleiber - redaktor pracy zbiorowej), pp.1-197, 2011

Conference papers
1.Kleiber M., Państwo jako lider działań w zakresie cyberbezpieczeństwa, Bezpieczeństwo Europy w dobie przesileń cywilizacyjnych, 2018-04-18/04-19, Jabłonna (PL), pp.109-112, 2018
2.Kleiber M., Hien T.D., Postek E., Structural Design Sensitivity Analysis by Incremental Procedures, CMM10, X Polish Conference Computer Methods in Mechanics, 1991-05-14/05-17, Swinoujscie (PL), DOI: , pp.357-364, 1991
Abstract:

An incremental formulation based on the Taylor's expansion for nonlinear design sensitivity problems is developed. Computational aspects are discussed. A few numerical benchmark problems illustrate the paper.

Keywords:

design sensitivity, nonlinear geometry, incremental procedure

Affiliations:
Kleiber M.-IPPT PAN
Hien T.D.-IPPT PAN
Postek E.-IPPT PAN

Conference abstracts
1.Postek E., Kleiber M., Design sensitivity of reinforced concrete plate/shell structures, CMM1995, XII Polish Conference on Computer Methods in Mechanics, 1995-05-09/05-13, Warszawa Zegrze (PL), No. , pp.279-280, 1995
Abstract:

Design sensitivity gradients are believed to have great significance in realistic asscsment of structural response. Sensitivity techniques form a tool to follow changes in structural behaviour caused by variations of design parameters. The sensitivity gradients make it also possible to investigate the influence of different type of material or geometrical imperfections on the structural response. One of the first papers considering the design sensitivity analysis (DSA) was presented by Zienkiewicz and Campbell |lj. Recently, efforts of the investigators are mostly focused on the r.onlinear performance of structures. The total Lagrangian formulation with the computer Implementation in Adina was presented in ]2]. A formulation considering path-dependent problems was given in [3] and the updated Lagrangian formulation of the design sensitivity problems for arbitrary nonlinearities was given in [4]. Applications of the DSA to the slate estimation of complex structures were presented in |5). The response of reinforced concrete structures should always be considered nonlinear and thus it may be used as an example illustrating the theory of design sensitivity for nonlinear systems. This paper deals with the design sensitivity of reinforced plate and shell structures. References 1. 0. C. Zicnkiowicz, J.S. Campbell, Shape optimization and sequential linear programmiri R. II. Gallagher and O.C. Xienkicwicz, eds Optimum Structural Design, Wiley, 1973. 2. M. Ilaririan, J.B. Cardoso, J.S. Arora, Use of ADINA for design optimization of nonlinear structures, C'omput. Struct., 26 (1987), pp. 123-133. 3. C.A. Vidal, R.I3. Ilaber, Design sensitivity analysis for rate independent elasl.opla.stjr Comp. Mcth. Appl. Mcch. Eng., 107 (1993), pp. 393-431. 4. M. Kleiber, Shape and nonshapc structural design sensitivity analysis for problems w;; any material .and kinematic nonlincarity, Comp. Mclh. Appl. Eng., 108 (1993), pp. 73-97 5. M. Kleiber, T.D. Hien, E. Postek, Incremental finite eleirint sensitivity analysis for non-linear mechanics applications, Int. .!. Num. Me/It. Eng., 37 (1994), pp. 3291-3308.

Keywords:

parameter sensitivity, plate-shell structures, nonlinear analysis

Affiliations:
Postek E.-IPPT PAN
Kleiber M.-IPPT PAN