Rate-independent systems
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
[BOG][B] Models and analysis of quasistatic contact: variational methods
The mathematical theory of contact mechanics is a growing field in engineering and
scientific computing. This book is intended as a unified and readily accessible source for …
scientific computing. This book is intended as a unified and readily accessible source for …
[BOG][B] Analysis and approximation of contact problems with adhesion or damage
Research into contact problems continues to produce a rapidly growing body of knowledge.
Recognizing the need for a single, concise source of information on models and analysis of …
Recognizing the need for a single, concise source of information on models and analysis of …
Numerical analysis and simulations of a dynamic frictionless contact problem with damage
M Campo, JR Fernández, KL Kuttler, M Shillor… - Computer methods in …, 2006 - Elsevier
The process of dynamic frictionless contact between a viscoelastic body and a reactive
foundation, which includes material damage, is modelled, numerically analyzed, and …
foundation, which includes material damage, is modelled, numerically analyzed, and …
[HTML][HTML] Equilibrium problem for elastic body with delaminated T-shape inclusion
A Khludnev, T Popova - Journal of Computational and Applied Mathematics, 2020 - Elsevier
We analyze an equilibrium problem for 2D elastic body with a T-shape thin inclusion in
presence of damage. A part of the inclusion is elastic, and the other part is a rigid one. A …
presence of damage. A part of the inclusion is elastic, and the other part is a rigid one. A …
T-shape inclusion in elastic body with a damage parameter
A Khludnev - Journal of Computational and Applied Mathematics, 2021 - Elsevier
We consider an equilibrium problem for a 2D elastic body with a thin elastic T-shape
inclusion. A part of the inclusion is delaminated from the elastic body forming a crack …
inclusion. A part of the inclusion is delaminated from the elastic body forming a crack …
Virtual element method for a frictional contact problem with normal compliance
We consider an elastostatic frictional contact problem with a normal compliance condition
and Coulomb's law of dry friction, which can be modeled by a quasi-variational inequality …
and Coulomb's law of dry friction, which can be modeled by a quasi-variational inequality …
Complete damage in elastic and viscoelastic media and its energetics
A model for the evolution of damage that allows for complete disintegration is addressed.
Small strains and a linear response function are assumed. The “flow rule” for the damage …
Small strains and a linear response function are assumed. The “flow rule” for the damage …
A new class of hyperbolic variational–hemivariational inequalities driven by non-linear evolution equations
The aim of the paper is to introduce and investigate a dynamical system which consists of a
variational–hemivariational inequality of hyperbolic type combined with a non-linear …
variational–hemivariational inequality of hyperbolic type combined with a non-linear …
[HTML][HTML] A class of generalized evolution variational inequalities in Banach spaces
In the present paper, a class of generalized evolution variational inequalities arising in a
number of quasistatic frictional contact problems for viscoelastic materials is introduced and …
number of quasistatic frictional contact problems for viscoelastic materials is introduced and …