1. |
Deshpande S.^{♦}, Lengiewicz J., Bordas S.P.A.^{♦}, Probabilistic deep learning for real-time large deformation simulations,
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, ISSN: 0045-7825, DOI: 10.1016/j.cma.2022.115307, Vol.398, pp.115307-1-115307-26, 2022Streszczenie: For many novel applications, such as patient-specific computer-aided surgery, conventional solution techniques of the underlying nonlinear problems are usually computationally too expensive and are lacking information about how certain can we be about their predictions. In the present work, we propose a highly efficient deep-learning surrogate framework that is able to accurately predict the response of bodies undergoing large deformations in real-time. The surrogate model has a convolutional neural network architecture, called U-Net, which is trained with force–displacement data obtained with the finite element method. We propose deterministic and probabilistic versions of the framework. The probabilistic framework utilizes the Variational Bayes Inference approach and is able to capture all the uncertainties present in the data as well as in the deep-learning model. Based on several benchmark examples, we show the predictive capabilities of the framework and discuss its possible limitations. Słowa kluczowe: convolutional neural network, Bayesian inference, Bayesian deep learning, large deformations, finite element method, real-time simulations Afiliacje autorów:
Deshpande S. | - | University of Luxembourg (LU) | Lengiewicz J. | - | IPPT PAN | Bordas S.P.A. | - | University of Luxembourg (LU) |
| | 200p. |
2. |
Piranda B.^{♦}, Chodkiewicz P.^{♦}, Hołobut P., Bordas S.P.A.^{♦}, Bourgeois J.^{♦}, Lengiewicz J., Distributed prediction of unsafe reconfiguration scenarios of modular robotic programmable matter,
IEEE TRANSACTIONS ON ROBOTICS, ISSN: 1552-3098, DOI: 10.1109/TRO.2021.3074085, Vol.37, No.6, pp.2226-2233, 2021Streszczenie: We present a distributed framework for predicting whether a planned reconfiguration step of a modular robot will mechanically overload the structure, causing it to break or lose stability under its own weight. The algorithm is executed by the modular robot itself and based on a distributed iterative solution of mechanical equilibrium equations derived from a simplified model of the robot. The model treats intermodular connections as beams and assumes no-sliding contact between the modules and the ground. We also provide a procedure for simplified instability detection. The algorithm is verified in the Programmable Matter simulator VisibleSim, and in real-life experiments on the modular robotic system Blinky Blocks. Słowa kluczowe: distributed algorithms, modular robots, mechanical constraints, programmable matter, self-reconfiguration Afiliacje autorów:
Piranda B. | - | inna afiliacja | Chodkiewicz P. | - | Warsaw University of Technology (PL) | Hołobut P. | - | IPPT PAN | Bordas S.P.A. | - | University of Luxembourg (LU) | Bourgeois J. | - | inna afiliacja | Lengiewicz J. | - | IPPT PAN |
| | 200p. |
3. |
Magliulo M.^{♦}, Lengiewicz J., Zilian A.^{♦}, Beex L.A.A.^{♦}, Frictional interactions for non‐localised beam‐to‐beam and beam‐inside‐beam contact,
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, ISSN: 0029-5981, DOI: 10.1002/nme.6596, Vol.122, No.7, pp.1706-1731, 2021Streszczenie: This contribution presents the extensions of beam‐to‐beam and beam‐inside‐beam contact schemes of the same authors towards frictional interactions. Since the schemes are based on the beams' true surfaces (instead of surfaces implicitly deduced from the beams' centroid lines), the presented enhancements are not only able to account for frictional sliding in the beams' axial directions, but also in the circumferential directions. Both the frictional beam‐to‐beam approach as well as the frictional beam‐inside‐beam approach are applicable to shear‐deformable and shear‐undeformable beams, as well as to beams with both circular and elliptical cross‐sections (although the cross‐sections must be rigid). A penalty formulation is used to treat unilateral and frictional contact constraints. FE implementation details are discussed, where automatic differentiation techniques are used to derive the implementations. Simulations involving large sliding displacements and large deformations are presented for both beam‐to‐beam and beam‐inside‐beam schemes. All simulation results are compared to those of the frictionless schemes. Słowa kluczowe: beam contact, beam-to-beam contact, beam-inside-beam contact, friction, Coulomb's law Afiliacje autorów:
Magliulo M. | - | University of Luxembourg (LU) | Lengiewicz J. | - | IPPT PAN | Zilian A. | - | University of Luxembourg (LU) | Beex L.A.A. | - | University of Luxembourg (LU) |
| | 200p. |
4. |
Lengiewicz J., Souza M.^{♦}, Lahmar M.A.^{♦}, Courbon C.^{♦}, Dalmas D.^{♦}, Stupkiewicz S., Scheibert J.^{♦}, Finite deformations govern the anisotropic shear-induced area reduction of soft elastic contacts,
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, ISSN: 0022-5096, DOI: 10.1016/j.jmps.2020.104056, Vol.143, pp.104056-1-19, 2020Streszczenie: Solid contacts involving soft materials are important in mechanical engineering or biomechanics. Experimentally, such contacts have been shown to shrink significantly under shear, an effect which is usually explained using adhesion models. Here we show that quantitative agreement with recent high-load experiments can be obtained, with no adjustable parameter, using a non-adhesive model, provided that finite deformations are taken into account. Analysis of the model uncovers the basic mechanisms underlying anisotropic shear-induced area reduction, local contact lifting being the dominant one. We confirm experimentally the relevance of all those mechanisms, by tracking the shear-induced evolution of tracers inserted close to the surface of a smooth elastomer sphere in contact with a smooth glass plate. Our results suggest that finite deformations are an alternative to adhesion, when interpreting a variety of sheared contact experiments involving soft materials. Słowa kluczowe: contact mechanics, friction, contact area, elastomer, full-field measurement Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Souza M. | - | inna afiliacja | Lahmar M.A. | - | inna afiliacja | Courbon C. | - | inna afiliacja | Dalmas D. | - | inna afiliacja | Stupkiewicz S. | - | IPPT PAN | Scheibert J. | - | Université de Lyon (FR) |
| | 140p. |
5. |
Magliulo M.^{♦}, Lengiewicz J., Zilian A.^{♦}, Beex L.A.A.^{♦}, Beam-inside-beam contact: mechanical simulations of slender medical instruments inside the human body,
Computer Methods and Programs in Biomedicine, ISSN: 0169-2607, DOI: 10.1016/j.cmpb.2020.105527, Vol.196, pp.105527-1-14, 2020Streszczenie: This contribution presents a rapid computational framework to mechanically simulate the insertion of a slender medical instrument in a tubular structure such as an artery, the cochlea or another slender instrument. Słowa kluczowe: surgical simulation, contact mechanics, beam-inside-beam, artery, cochlea Afiliacje autorów:
Magliulo M. | - | University of Luxembourg (LU) | Lengiewicz J. | - | IPPT PAN | Zilian A. | - | University of Luxembourg (LU) | Beex L.A.A. | - | University of Luxembourg (LU) |
| | 100p. |
6. |
Magliulo M.^{♦}, Lengiewicz J., Zilian A.^{♦}, Beex L.A.A.^{♦}, Non-localised contact between beams with circular and elliptical cross-sections,
COMPUTATIONAL MECHANICS, ISSN: 0178-7675, DOI: 10.1007/s00466-020-01817-1, Vol.65, No.5, pp.1247-1266, 2020Streszczenie: The key novelty of this contribution is a dedicated technique to efficiently determine the distance (gap) function between parallel or almost parallel beams with circular and elliptical cross-sections. The technique consists of parametrizing the surfaces of the two beams in contact, fixing a point on the centroid line of one of the beams and searching for a constrained minimum distance between the surfaces (two variants are investigated). The resulting unilateral (frictionless) contact condition is then enforced with the Penalty method, which introduces compliance to the, otherwise rigid, beams' cross-sections. Two contact integration schemes are considered: the conventional slave-master approach (which is biased as the contact virtual work is only integrated over the slave surface) and the so-called two-half-pass approach (which is unbiased as the contact virtual work is integrated over the two contacting surfaces). Details of the finite element formulation, which is suitably implemented using Automatic Differentiation techniques, are presented. A set of numerical experiments shows the overall performance of the framework and allows a quantitative comparison of the investigated variants. Słowa kluczowe: beams, contact, circular and elliptical cross-sections, rigid cross-sections, single-pass algorithm, two-half-pass algorithm Afiliacje autorów:
Magliulo M. | - | University of Luxembourg (LU) | Lengiewicz J. | - | IPPT PAN | Zilian A. | - | University of Luxembourg (LU) | Beex L.A.A. | - | University of Luxembourg (LU) |
| | 100p. |
7. |
Lengiewicz J., Hołobut P., Efficient collective shape shifting and locomotion of massively-modular robotic structures,
Autonomous Robots, ISSN: 0929-5593, DOI: 10.1007/s10514-018-9709-6, Vol.43, No.1, pp.97-122, 2019Streszczenie: We propose a methodology of planning effective shape shifting and locomotion of large-ensemble modular robots based on a cubic lattice. The modules are divided into two groups: fixed ones, that build a rigid porous frame, and mobile ones, that flow through the frame. Mobile modules which flow out of the structure attach to the frame, advancing its boundary. Conversely, a deficiency of mobile modules in other parts of the boundary is corrected by decomposition of the frame. Inside the structure, appropriate module flow is arranged to transport the modules in a desired direction, which is planned by a special distributed version of a maximum flow search algorithm. The method engages a volume of modules during reconfiguration, which is more efficient than common surface-flow approaches. Also, the proposed interpretation as a flow in porous media with moving boundaries seems particularly suitable for further development of more advanced global reconfiguration scenarios. The theoretical efficiency of the method is assessed, and then partially verified by a series of simulations. The method can be possibly also applied to a wider class of modular robots, not necessarily cubic-lattice-based. Słowa kluczowe: modular robots, self-reconfiguration, maximum flow search, programmable matter, distributed algorithms Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Hołobut P. | - | IPPT PAN |
| | 100p. |
8. |
Vakis A.I.^{♦}, Yastrebov V.A.^{♦}, Scheibert J.^{♦}, Nicola L.^{♦}, Dini D.^{♦}, Minfray C.^{♦}, Almqvist A.^{♦}, Paggi M.^{♦}, Lee S.^{♦}, Limbert G.^{♦}, Molinari J.F.^{♦}, Anciaux G.^{♦}, Aghababaei R.^{♦}, Echeverri Restrepo S.^{♦}, Papangelo A.^{♦}, Cammarata A.^{♦}, Nicolini P.^{♦}, Putignano C.^{♦}, Carbone G.^{♦}, Stupkiewicz S., Lengiewicz J., Costagliola G.^{♦}, Bosia F.^{♦}, Guarino R.^{♦}, Pugno N.M.^{♦}, Müser M.H.^{♦}, Ciavarella M.^{♦}, Modeling and simulation in tribology across scales: An overview,
TRIBOLOGY INTERNATIONAL, ISSN: 0301-679X, DOI: 10.1016/j.triboint.2018.02.005, Vol.125, pp.169-199, 2018Streszczenie: This review summarizes recent advances in the area of tribology based on the outcome of a Lorentz Center workshop surveying various physical, chemical and mechanical phenomena across scales. Among the main themes discussed were those of rough surface representations, the breakdown of continuum theories at the nano- and microscales, as well as multiscale and multiphysics aspects for analytical and computational models relevant to applications spanning a variety of sectors, from automotive to biotribology and nanotechnology. Significant effort is still required to account for complementary nonlinear effects of plasticity, adhesion, friction, wear, lubrication and surface chemistry in tribological models. For each topic, we propose some research directions. Słowa kluczowe: Tribology, Multiscale modeling, Multiphysics modeling, Roughness, Contact, Friction, Adhesion, Wear, Lubrication, Tribochemistry Afiliacje autorów:
Vakis A.I. | - | University of Groningen (NL) | Yastrebov V.A. | - | PSL Research University (FR) | Scheibert J. | - | Université de Lyon (FR) | Nicola L. | - | Delft University of Technology (NL) | Dini D. | - | Imperial College London (GB) | Minfray C. | - | Université de Lyon (FR) | Almqvist A. | - | Luleå University of Technology (SE) | Paggi M. | - | IMT School for Advanced Studies Lucca (IT) | Lee S. | - | Technical University of Denmark (DK) | Limbert G. | - | University of Southampton (GB) | Molinari J.F. | - | Swiss Federal Institute of Technology (CH) | Anciaux G. | - | Swiss Federal Institute of Technology (CH) | Aghababaei R. | - | Aarhus University (DK) | Echeverri Restrepo S. | - | SKF Engineering & Research Centre (NL) | Papangelo A. | - | Hamburg University of Technology (DE) | Cammarata A. | - | Czech Technical University in Prague (CZ) | Nicolini P. | - | Czech Technical University in Prague (CZ) | Putignano C. | - | Politecnico di Bari (IT) | Carbone G. | - | Politecnico di Bari (IT) | Stupkiewicz S. | - | IPPT PAN | Lengiewicz J. | - | IPPT PAN | Costagliola G. | - | University of Torino (IT) | Bosia F. | - | University of Torino (IT) | Guarino R. | - | University of Trento (IT) | Pugno N.M. | - | University of Trento (IT) | Müser M.H. | - | Saarland University (DE) | Ciavarella M. | - | Politecnico di Bari (IT) |
| | 35p. |
9. |
Chodkiewicz P.^{♦}, Lengiewicz J., Zalewski R.^{♦}, Discrete element method approach to modelling VPP dampers,
MATEC Web of Conferences, ISSN: 2261-236X, DOI: 10.1051/matecconf/201815702014, Vol.157, No.02014, pp.1-8, 2018Streszczenie: In this paper, we present a novel approach to modeling and analysis of Vacuum Packed Particle dampers (VPP dampers) with the use of Discrete Element Method (DEM). VPP dampers are composed of loose granular medium encapsulated in a hermetic envelope, with controlled pressure inside the envelope. By changing the level of underpressure inside the envelope, one can control mechanical properties of the system. The main novelty of the DEM model proposed in this paper is the method to treat special (pressure) boundary conditions at the envelope. The model has been implemented within the open-source Yade DEM software. Preliminary results are presented and discussed in the paper. The qualitative agreement with experimental results has been achieved. Słowa kluczowe: VPP, discrete element method, Yade DEM, modelling, smart structures, smart materials Afiliacje autorów:
Chodkiewicz P. | - | Warsaw University of Technology (PL) | Lengiewicz J. | - | IPPT PAN | Zalewski R. | - | inna afiliacja |
| |
10. |
Leyva-Mendivil M.F.^{♦}, Lengiewicz J., Limbert G.^{♦}, Skin friction under pressure. The role of micromechanics,
Surface Topography: Metrology and Properties, ISSN: 2051-672X, DOI: 10.1088/2051-672X/aaa2d4, Vol.6, No.1, pp.1-14, 2018Streszczenie: The role of contact pressure on skin friction has been documented in multiple experimental studies. Skin friction significantly raises in the low-pressure regime as load increases while, after a critical pressure value is reached, the coefficient of friction of skin against an external surface becomes mostly insensitive to contact pressure. However, up to now, no study has elucidated the qualitative and quantitative nature of the interplay between contact pressure, the material and microstructural properties of the skin, the size of an indenting slider and the resulting measured macroscopic coefficient of friction. A mechanistic understanding of these aspects is essential for guiding the rational design of products intended to interact with the skin through optimally-tuned surface and/or microstructural properties. Here, an anatomically-realistic 2D multi-layer finite element model of the skin was embedded within a computational contact homogenisation procedure. The main objective was to investigate the sensitivity of macroscopic skin friction to the parameters discussed above, in addition to the local (i.e. microscopic) coefficient of friction defined at skin asperity level. This was accomplished via the design of a large-scale computational experiment featuring 312 analyses. Results confirmed the potentially major role of finite deformations of skin asperities on the resulting macroscopic friction. This effect was shown to be modulated by the level of contact pressure and relative size of skin surface asperities compared to those of a rigid slider. The numerical study also corroborated experimental observations concerning the existence of two contact pressure regimes where macroscopic friction steeply and non-linearly increases up to a critical value, and then remains approximately constant as pressure increases further. The proposed computational modelling platform offers attractive features which are beyond the reach of current analytical models of skin friction, namely, the ability to accommodate arbitrary kinematics, non-linear constitutive properties and the complex skin microstructure. Słowa kluczowe: skin friction, contact mechanics, pressure, microstructure, finite element, homogenisation, material properties Afiliacje autorów:
Leyva-Mendivil M.F. | - | University of Southampton (GB) | Lengiewicz J. | - | IPPT PAN | Limbert G. | - | University of Southampton (GB) |
| |
11. |
Leyva-Mendivil M.F.^{♦}, Lengiewicz J., Page A.^{♦}, Bressloff N.W.^{♦}, Limbert G.^{♦}, Skin microstructure is a key contributor to its friction behaviour,
TRIBOLOGY LETTERS, ISSN: 1023-8883, DOI: 10.1007/s11249-016-0794-4, Vol.65, No.1, pp.12-1-17, 2017Streszczenie: Due to its multifactorial nature, skin friction remains a multiphysics and multiscale phenomenon poorly understood despite its relevance for many biomedical and engineering applications (from superficial pressure ulcers, through shaving and cosmetics, to automotive safety and sports equipment). For example, it is unclear whether, and in which measure, the skin microscopic surface topography, internal microstructure and associated nonlinear mechanics can condition and modulate skin friction. This study addressed this question through the development of a parametric finite element contact homogenisation procedure which was used to study and quantify the effect of the skin microstructure on the macroscopic skin frictional response. An anatomically realistic two-dimensional image-based multilayer finite element model of human skin was used to simulate the sliding of rigid indenters of various sizes over the skin surface. A corresponding structurally idealised multilayer skin model was also built for comparison purposes. Microscopic friction specified at skin asperity or microrelief level was an input to the finite element computations. From the contact reaction force measured at the sliding indenter, a homogenised (or apparent) macroscopic friction was calculated. Results demonstrated that the naturally complex geometry of the skin microstructure and surface topography alone can play as significant role in modulating the deformation component of macroscopic friction and can significantly increase it. This effect is further amplified as the ground-state Young's modulus of the stratum corneum is increased (for example, as a result of a dryer environment). In these conditions, the skin microstructure is a dominant factor in the deformation component of macroscopic friction, regardless of indenter size or specified local friction properties. When the skin is assumed to be an assembly of nominally flat layers, the resulting global coefficient of friction is reduced with respect to the local one. This seemingly counter-intuitive effect had already been demonstrated in a recent computational study found in the literature. Results also suggest that care should be taken when assigning a coefficient of friction in computer simulations, as it might not reflect the conditions of microscopic and macroscopic friction one intends to represent. The modelling methodology and simulation tools developed in this study go beyond what current analytical models of skin friction can offer: the ability to accommodate arbitrary kinematics (i.e. finite deformations), nonlinear constitutive properties and the complex geometry of the skin microstructural constituents. It was demonstrated how this approach offered a new level of mechanistic insight into plausible friction mechanisms associated with purely structural effects operating at the microscopic scale; the methodology should be viewed as complementary to physical experimental protocols characterising skin friction as it may facilitate the interpretation of observations and measurements and/or could also assist in the design of new experimental quantitative assays. Słowa kluczowe: skin, friction mechanisms, contact mechanics, microstructure, finite element, image-based modelling, material properties Afiliacje autorów:
Leyva-Mendivil M.F. | - | University of Southampton (GB) | Lengiewicz J. | - | IPPT PAN | Page A. | - | University of Southampton (GB) | Bressloff N.W. | - | University of Southampton (GB) | Limbert G. | - | University of Southampton (GB) |
| | 35p. |
12. |
Lengiewicz J., Kursa M., Hołobut P., Modular-robotic structures for scalable collective actuation,
ROBOTICA, ISSN: 0263-5747, DOI: 10.1017/S026357471500082X, Vol.35, No.4, pp.787-808, 2017Streszczenie: We propose a new class of modular-robotic structures, intended to produce forces which scale with the number of modules. We adopt the concept of a spherical catom and extend it by a new connection type which is relatively strong but static. We examine analytically and numerically the mechanical properties of two collective-actuator designs. The simulations are based on the discrete element method (DEM), with friction and elastic deformations taken into account. One of the actuators is shown to generate forces proportional to its volume. This property seems necessary for building modular structures of useful strength and dimensions. Słowa kluczowe: modular robots, self-reconfiguration, programmable matter, actuators, mechanical strength Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Kursa M. | - | IPPT PAN | Hołobut P. | - | IPPT PAN |
| | 25p. |
13. |
Leyva-Mendivil M.F.^{♦}, Lengiewicz J., Page A.^{♦}, Bressloff N.W.^{♦}, Limbert G.^{♦}, Implications of Multi-asperity Contact for Shear Stress Distribution in the Viable Epidermis – An Image-based Finite Element Study,
BIOTRIBOLOGY, ISSN: 2352-5738, DOI: 10.1016/j.biotri.2017.04.001, Vol.11, pp.110-123, 2017Streszczenie: Understanding load transfer mechanisms from the surface of the skin to its deeper layers is crucial in gaining a fundamental insight into damage phenomena related to skin tears, blisters and superficial/deep tissue ulcers. It is unknown how shear stresses in the viable epidermis are conditioned by the skin surface topography and internal microstructure and to which extent their propagation is conditioned by the size of a contacting asperities. In this computational study, these questions were addressed by conducting a series of contact finite element analyses simulating normal indentation of an anatomically-based two-dimensional multi-layer model of the skin by rigid indenters of various sizes and sliding of these indenters over the skin surface. Indentation depths, local (i.e. microscopic) coefficients of friction and Young's modulus of the stratum corneum were also varied. For comparison purpose and for isolating effects arising purely from the skin microstructure, a geometrically-idealised equivalent multi-layer model of the skin was also considered. The multi-asperity contact induced by the skin topographic features in combination with a non-idealised geometry of the skin layers lead to levels of shear stresses much higher than those produced in the geometrically-idealised case. These effects are also modulated by other system parameters (e.g. local coefficient of friction, indenter radius). These findings have major implications for the design and analyses of finite element studies aiming at modelling the tribology of skin, particularly if the focus is on how surface shear stress leads to damage initiation which is a process known to occur across several length scales. Słowa kluczowe: Skin, Microstructure, Contact mechanics, Indentation, Sliding contact, Finite element, Image-based modelling, Material properties Afiliacje autorów:
Leyva-Mendivil M.F. | - | University of Southampton (GB) | Lengiewicz J. | - | IPPT PAN | Page A. | - | University of Southampton (GB) | Bressloff N.W. | - | University of Southampton (GB) | Limbert G. | - | University of Southampton (GB) |
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14. |
Stupkiewicz S., Lengiewicz J., Sadowski P., Kucharski S., Finite deformation effects in soft elastohydrodynamic lubrication problems,
TRIBOLOGY INTERNATIONAL, ISSN: 0301-679X, DOI: 10.1016/j.triboint.2015.03.016, Vol.93, pp.511-522, 2016Streszczenie: Soft elastohydrodynamic lubrication regime is typical for many elastomeric and biological contacts. As one or both contacting bodies are then highly compliant, relatively low contact pressures may lead to large deformations which are neglected in the classical EHL theory. In the paper, the related finite-deformation effects are studied for two representative soft-EHL problems. To this end, a fully-coupled nonlinear formulation has been developed which combines finite-strain elasticity for the solid and the Reynolds equation for the fluid, both treated using the finite element method with full account of all elastohydrodynamic couplings. Results of friction measurements are also reported and compared to theoretical predictions for lubricated contact of a rubber ball sliding against a steel disc under high loads. Słowa kluczowe: Soft-EHL problem, Finite deformation, Finite element method, Monolithic scheme Afiliacje autorów:
Stupkiewicz S. | - | IPPT PAN | Lengiewicz J. | - | IPPT PAN | Sadowski P. | - | IPPT PAN | Kucharski S. | - | IPPT PAN |
| | 35p. |
15. |
Stupkiewicz S., Lewandowski M.J., Lengiewicz J., Micromechanical analysis of friction anisotropy in rough elastic contacts,
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, ISSN: 0020-7683, DOI: 10.1016/j.ijsolstr.2014.07.013, Vol.51, No.23-24, pp.3931-3943, 2014Streszczenie: Computational contact homogenization approach is applied to study friction anisotropy resulting from asperity interaction in elastic contacts. Contact of rough surfaces with anisotropic roughness is considered with asperity contact at the micro scale being governed by the isotropic Coulomb friction model. Application of a micro-to-macro scale transition scheme yields a macroscopic friction model with orientation- and pressure-dependent macroscopic friction coefficient. The macroscopic slip rule is found to exhibit a weak non-associativity in the tangential plane, although the slip rule at the microscale is associated in the tangential plane. Counterintuitive effects are observed for compressible materials, in particular, for auxetic materials. Słowa kluczowe: Contact, Friction, Anisotropy, Roughness, Micromechanics Afiliacje autorów:
Stupkiewicz S. | - | IPPT PAN | Lewandowski M.J. | - | IPPT PAN | Lengiewicz J. | - | IPPT PAN |
| | 35p. |
16. |
Lengiewicz J., Wichrowski M.^{♦}, Stupkiewicz S., Mixed formulation and finite element treatment of the mass-conserving cavitation model,
TRIBOLOGY INTERNATIONAL, ISSN: 0301-679X, DOI: 10.1016/j.triboint.2013.12.012, Vol.72, pp.143-155, 2014Streszczenie: A mixed formulation of the mass-conserving cavitation model is developed. The cavitation problem is formulated in terms of the hydrodynamic pressure and a complementary variable representing the void fraction in the cavitation zone. Weak form of the mass-balance equation is consistently derived, and it exhibits subtle differences with respect to the available formulations. Finite element treatment preserves the two-field formulation, and a semi-smooth Newton method is applied to solve the resulting discretized equations. A monolithic Newton-based scheme is also applied to solve the fully coupled elastohydrodynamic lubrication problem in the soft-EHL regime. Numerical examples illustrate the performance of the computational scheme. Słowa kluczowe: Lubrication, Cavitation, Reynolds equation, Soft-EHL problem Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Wichrowski M. | - | inna afiliacja | Stupkiewicz S. | - | IPPT PAN |
| | 35p. |
17. |
Lengiewicz J., Stupkiewicz S., Efficient model of evolution of wear in quasi-steady-state sliding contacts,
WEAR, ISSN: 0043-1648, DOI: 10.1016/j.wear.2013.03.051, Vol.303, pp.611-621, 2013Streszczenie: A computationally efficient model of evolution of contact and wear is developed for a general periodic pin-on-flat problem with the focus on the pin-on-disc configuration and Archard wear model. The evolving contact state is assumed to be fully controlled by the wear process except during a short initial transient period controlled by both wear and elasticity. The contact pressure distribution is thus obtained by considering only the local wear model and the geometry of the conforming contact, without referring to the underlying elasticity problem. Evolution of the contact state is then obtained by time integration of the resulting rate-problem, and two computational schemes are developed for that purpose employing either the forward- or the backward-Euler method. The model is successfully verified against a three-dimensional finite element model. A dimensionless wear-mode index specifying the relative magnitude of wear coefficients of the contact pair is introduced, and model predictions are presented as a function of this parameter. Słowa kluczowe: Contact mechanics, Wear, Simulation, Quasi-steady-state process, Rigid-wear model, Pin-on-disc Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Stupkiewicz S. | - | IPPT PAN |
| | 35p. |
18. |
Lengiewicz J., Stupkiewicz S., Continuum framework for finite element modelling of finite wear,
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, ISSN: 0045-7825, DOI: 10.1016/j.cma.2010.12.020, Vol.205-208, pp.178-188, 2012Streszczenie: A finite deformation contact problem with friction and wear is studied in which the shape changes due to wear are finite. Accordingly, in addition to the initial configuration and the current configuration, an intermediate time-dependent configuration is introduced that corresponds to the undeformed body of the shape changed due to wear. Two time scales are also introduced in order to distinguish the fast time of the actual deformation (contact) problem from the slow time of the wear process (shape evolution problem). Separation of these time scales allows us to partially decouple the deformation problem and the shape evolution problem. Shape parameterization is introduced and the corresponding shape update scheme is formulated as a minimization problem. In particular, a second-order scheme is developed which exploits shape sensitivities of the deformation problem. Numerical examples are provided to illustrate the performance and accuracy of the proposed numerical schemes. Słowa kluczowe: Frictional contact, Wear, Sensitivity analysis Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Stupkiewicz S. | - | IPPT PAN |
| | 40p. |
19. |
Lengiewicz J., Korelc J.^{♦}, Stupkiewicz S., Automation of finite element formulations for large deformation contact problems,
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, ISSN: 0029-5981, DOI: 10.1002/nme.3009, Vol.85, pp.1252-1279, 2011Streszczenie: The aim of this paper is to present a general method for automation of finite element formulations of large deformation contact problems. A new automatic-differentiation-based notation is introduced that represents a bridge between the classical mathematical notation of contact mechanics and the actual computer implementation of contact finite elements. Automation of derivation of the required formulas (e.g. element residual and tangent matrix) combined with automatic code generation makes the finite element implementation possible at a moderate effort. Accordingly, several 3D contact formulations have been implemented in this work, including penalty and augmented Lagrangian treatments of contact constraints, and several contact smoothing techniques. A typical benchmark problem could thus be executed in an objective way leading to a comprehensive study of the efficiency and the accuracy of various formulations of 3D contact finite elements. Słowa kluczowe: automatic differentiation, symbolic methods, automation, frictional contact, contact smoothing, augmented Lagrangian method Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Korelc J. | - | University of Ljubljana (SI) | Stupkiewicz S. | - | IPPT PAN |
| | 40p. |
20. |
Lengiewicz J., Turek K.^{♦}, Lewkowicz J.^{♦}, Models and measures to evaluate the effectiveness of funds utilization for scientific research and development of advanced technologies,
Matematyka Stosowana, Vol.12, No.53, pp.111-125, 2011Streszczenie: The purpose of this report was to construct some alternative methods to estimate the effectiveness of investments in scientific research and development of advanced technologies, especially their long-term effects. Study Group decided to focus on the sub-problem of finding the relation between the spending on science and the quality of science itself. As a result, we have developed two independent methodologies. The most promising one is based on the theory of time-delay systems, which allows capturing effects of the time-lag between the use of funds and the results related to scientific work. Moreover, the methodology gives an opportunity to see kthe optimal spending scenario that would fulfill some prescribed constraints (e.g. it would minimize costs and at the same time remain above a desired level of quality of science). The second methodology is premised on Stochastic Frontier Analysis and it can be applied to determine the form of relation between the amount of financing and the results of scientific work. It offers considerable advantages for analyses of several forms of relation at once (production functions) and for a suitable choice of the best one. Both methods are promising, however, additional work is necessary to apply them successfully to some real-life problems Afiliacje autorów:
Lengiewicz J. | - | IPPT PAN | Turek K. | - | inna afiliacja | Lewkowicz J. | - | inna afiliacja |
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21. |
Stupkiewicz S., Lengiewicz J., Korelc J.^{♦}, Sensitivity analysis for frictional contact problems in the augmented Lagrangian formulation,
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, ISSN: 0045-7825, DOI: 10.1016/j.cma.2010.03.021, Vol.199, No.33-36, pp.2165-2176, 2010Streszczenie: Direct differentiation method of sensitivity analysis is developed for frictional contact problems. As a result of the augmented Lagrangian treatment of contact constraints, the direct problem is solved simultaneously for the displacements and Lagrange multipliers using the Newton method. The main purpose of the paper is to show that this formulation of the augmented Lagrangian method is particularly suitable for sensitivity analysis because the direct differentiation method leads to a non-iterative exact sensitivity problem to be solved at each time increment. The approach is applied to a general class of three-dimensional frictional contact problems, and numerical examples are provided involving large deformations, multibody contact interactions, and contact smoothing techniques. Słowa kluczowe: Sensitivity analysis, Direct differentiation method, Frictional contact, Augmented Lagrangian method Afiliacje autorów:
Stupkiewicz S. | - | IPPT PAN | Lengiewicz J. | - | IPPT PAN | Korelc J. | - | University of Ljubljana (SI) |
| | 32p. |