Prof. Józef Telega, Ph.D., Dr. Habil., Eng.


Habilitation thesis
1991Metody wariacyjne i analiza wypukła w zagadnieniach kontaktowych i homogenizacji 
Professor
1999Title of professor
Recent publications
1.Gilewicz J., Pindor M., Telega J.J., Tokarzewski S., N-point Padé approximants and two sided estimates of errors on the real axis for Stieltjes functions, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, ISSN: 0377-0427, DOI: 10.1016/j.cam.2003.12.051, Vol.178, pp.247-253, 2005
Abstract:

Upper and lower estimates of Stieltjes function by N-point Padé approximants can be obtained using the new general inequality reported by Tokarzewski et al. (Arch. Mech. 54 (2002) 141–153) and rigorously proved in the present paper. In addition, we prove that the multipoint Padé approximants to Stieltjes function are symmetric with respect to the order of choice of the considered points.

Keywords:

N-point Padé approximants, Stieltjes functions

Affiliations:
Gilewicz J.-other affiliation
Pindor M.-other affiliation
Telega J.J.-IPPT PAN
Tokarzewski S.-IPPT PAN
2.Gambin B., Gałka A., Telega J.J., Tokarzewski S., Influence of anisotropy induced by microcracks on effective elastic properties, ENGINEERING TRANSACTIONS (ROZPRAWY INŻYNIERSKIE), ISSN: 0867-888X, Vol.53, No.4, pp.409-420, 2005
3.Figurska M., Święszkowski W., Telega J.J., Influence of wear debris on behaviour and biomechanical properties of bone-implant interface, Russian Journal of Biomechanics, Vol.9, No.2, pp.20-32, 2005
4.Piekarski J., Maździarz M., Glinkowski W., Telega J.J., Modeling of bone fracture healing, ACTA OF BIOENGINEERING AND BIOMECHANICS, ISSN: 1509-409X, Vol.6, No.Suppl.1, pp.191-194, 2004
5.Gilewicz J., Pindor M., Telega J.J., Tokarzewski S., Continued fractions, two-point Padé approximants and errors in the Stieltjes case, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, ISSN: 0377-0427, DOI: 10.1016/S0377-0427(01)00538-6, Vol.145, No.1, pp.99-112, 2002
Abstract:

A Stieltjes function is expanded in mixed T- and S-continued fraction. The relations between approximants of this continued fraction and two-point Padé approximants are established. The method used by Gilewicz and Magnus (J. Comput. Appl. Math. 49 (1993) 79; Integral Transforms Special Functions 1 (1993) 9) has been adapted to obtain the exact relations between the errors of the contiguous two-point Padé approximants in the whole cut complex plane.

Keywords:

Two-point Padé approximation, Stieltjes functions

Affiliations:
Gilewicz J.-other affiliation
Pindor M.-other affiliation
Telega J.J.-IPPT PAN
Tokarzewski S.-IPPT PAN
6.Jemioło S., Telega J.J., Representations of Tensor Functions and Applications in Continuum Mechanics, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.3, pp.1-112, 1997
7.Tokarzewski S., Telega J.J., S-Continued Fraction Method for the Investigation of a Complex Dielectric Constant of Two-Components Composite, Acta Applicandae Mathematicae, ISSN: 0167-8019, DOI: 10.1023/A:1005861519473, Vol.49, No.1, pp.55-83, 1997
Abstract:

The aim of this contribution is to examine the S-continued fraction method of obtaining bounds on the effective dielectric constant εe of a two-phase composite for the case where the dielectric coefficients ε1and ε2 of both components are either complex or real. The starting point for our study is a power expansion of εe(z) at(z)=0 (z)=ε2/ε1-1. The obtained S-continued fraction bounds have an interesting mathematical structure convenient for theoretical and numerical investigations of εe. They also agree with the earlier estimations reported by Bergman and Milton. Specific examples of calculation of bounds on εe by theS-continued fraction method are also provided.

Keywords:

composite medium, bounds, dielectric constants, Stieltjes function

Affiliations:
Tokarzewski S.-IPPT PAN
Telega J.J.-IPPT PAN
8.Bielski W., Telega J.J., A non-linear elastic plate model of moderate thickness: Existence, uniquenness and duality, JOURNAL OF ELASTICITY, ISSN: 0374-3535, DOI: 10.1007/BF00041792, Vol.42, No.3, pp.243-273, 1996
Abstract:

Three problems are solved for a nonlinear model of elastic plates with transverse shear deformations. The material of the plate may be anisotropic. An existence theorem is formulated and proved for a class of boundary conditions. A uniqueness theorem is given for small loadings. The dual problem is derived and the minimax or Lagrangian approach is discussed.

Affiliations:
Bielski W.-Institute of Geophysics (PL)
Telega J.J.-IPPT PAN
9.Telega J.J., Wojnar R., Main Polish Historical and Modern Sources on Applied Mechanics, Applied Mechanics Reviews, ISSN: 0003-6900, DOI: 10.1115/1.3101933, Vol.49, No.8, pp.401-432, 1996
Abstract:

The aim of this article is to present the list of books by Polish scientists on applied mechanics in a rather broad sense. An effort was made to cover the last century. Previous Polish sources, until 1874, were collected by Kucharzewski (1894). A list of the main journals in applied mechanics is also given, essentially covering the period starting after the Second World War.

Affiliations:
Telega J.J.-IPPT PAN
Wojnar R.-IPPT PAN
10.Tokarzewski S., Telega J.J., S-continued Fraction Representation for Effective Transport Coefficients of Two-phase Media, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.16, pp.1-58, 1995
11.Telega J.J., Epi-limit on HB and homogenization of heterogeneous plastic plates, Nonlinear Analysis: Theory, Methods & Applications, ISSN: 0362-546X, DOI: 10.1016/0362-546X(93)E0017-W, Vol.25, No.5, pp.499-529, 1995
Keywords:

Epi-convergence in the strong topology of W11(Ω), space HB(Ω), homogenization of perfectly plastic plates, limit analysis and homogenization, periodically inhomogeneous material, relaxation of boundary conditions

Affiliations:
Telega J.J.-IPPT PAN
12.Bielski W.R., Telega J.J., Tarcie na uskokach geologicznych: modelowanie i wariacyjne sformułowanie zagadnień brzegowo-początkowych, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.31, pp.1-30, 1994
13.Gałka A., Telega J.J., Wojnar R., Thermodiffusion in Heterogeneous Elastic Solids and Homogenization, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.14, pp.1-76, 1993
14.Jemioło S., Telega J.J., Some Aspects of Invariant Theory in Plasticity, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.19, pp.1-31, 1992
15.Bielski W.R., Telega J.J., On Existence of Solutions and Duality for a Model of Non-linear Elastic Plates with Transverse Shear Deformations, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.35, pp.1-26, 1992
16.Telega J.J., Metody wariacyjne i analiza wypukła w zagadnieniach kontaktowych i homogenizacji (Praca habilitacyjna), Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.38, pp.1-209, 1990
17.Telega J.J., On Variational Formulations for Non-Linear, Non-Potential Operators, IMA Journal of Applied Mathematics, ISSN: 0272-4960, DOI: 10.1093/imamat/24.2.175, Vol.24, No.2, pp.175-195, 1979
Abstract:

This paper consists of two parts. In the first part the method for the choice of a bilinear form rendering a non-linear operator potential has been developed. The method constitutes an extension of Magri's approach, the last being valid for linear operators only.

The second part of the paper is concerned with the method of adding the adjoint operator. It has been proved that a system of two coupled operator equations consisting of a given non-linear operator equation and the equation determined by the adjoint of its Frechet derivative is described by a potential operator. The variational functional has been derived. Some particular cases have been discussed.

Affiliations:
Telega J.J.-IPPT PAN
18.Telega J.J., Metoda elementów skończonych w mechanice ciał odkształcalnych, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.55, pp.1-107, 1975
19.Telega J.J., O warunkach plastyczności i równaniach konstytutywnych dla izotropowego ośrodka sztywno-plastycznego, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.22, pp.1-23, 1974
20.Telega J.J., Metoda elementów skończonych w mechanice ciał odkształcalnych, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.46, pp.1-87, 1973

List of recent monographs
1.
30
Shillor M., Sofonea M., Telega J.J., Models and Analysis of Quasistatic Contact, Variational Methods, Springer-Verlag Berlin Heidelberg, Series: Lecture Notes in Physics, 655, pp.1-239, 2004
List of chapters in recent monographs
1.
174
Telega J.J., Stańczyk M., Modelling in biomechanics (OBM'02), AMAS Lecture Notes 19, rozdział: Modelling of soft tissues beahaviour, IPPT PAN, AMAS, ABIOMED (Warszawa), Telega J.J. (Ed.), 19, pp.191-454, 2005
2.
209
Telega J.J., Stańczyk M., Tissue remodelling, ABIOMED Lecture Notes 3, rozdział: Residual stresses and strains and remodelling of tissues, IPPT PAN, ABIOMED (Warszawa), Piekarski J. (Ed.), 3, pp.319-391, 2005