Rate-independent systems

A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
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 …

A survey of computational models for adhesion

RA Sauer - The Journal of Adhesion, 2016 - Taylor & Francis
This work presents a survey of computational methods for adhesive contact focusing on
general continuum mechanical models for attractive interactions between solids that are …

Delamination and adhesive contact models and their mathematical analysis and numerical treatment

T Roubíček, M Kružík, J Zeman - Mathematical methods and models …, 2014 - World Scientific
This chapter reviews mathematical approaches to inelastic processes on the surfaces of
elastic bodies. We mostly consider a quasistatic and rateindependent evolution at small …

A model of imperfect interface with damage

E Bonetti, G Bonfanti, F Lebon, R Rizzoni - Meccanica, 2017 - Springer
In this paper two models of damaged materials are presented. The first one describes a
structure composed by two adherents and an adhesive which is micro-cracked and subject …

A damage model to predict the durability of bonded assemblies. Part I: Debonding behavior of FRP strengthened concrete structures

K Benzarti, F Freddi, M Frémond - Construction and building materials, 2011 - Elsevier
Presented in this paper is a coupled damage model to predict the durability of concrete
elements strengthened by external bonding of fiber reinforced polymer (FRP) plates. Both …

Quasistatic delamination problem

T Roubíček, L Scardia, C Zanini - Continuum Mechanics and …, 2009 - Springer
We study delamination of two elastic bodies glued together by an adhesive that can undergo
a unidirectional inelastic rate-independent process. The quasistatic delamination process is …

Penalty method for a class of differential variational inequalities

Z Liu, S Zeng - Applicable Analysis, 2021 - Taylor & Francis
The purpose of this paper is to investigate a class of differential variational inequalities
involving a constraint set in Banach spaces. A well-posedness result for the inequality is …

Damage in domains and interfaces: a coupled predictive theory

F Freddi, M Frémond - Journal of mechanics of materials and structures, 2006 - msp.org
In this study, we propose a model coupling damage of domains and damage of interfaces. A
predictive theory of continuum damage mechanics is developed within the framework of the …

From damage to delamination in nonlinearly elastic materials at small strains

A Mielke, T Roubíček, M Thomas - Journal of Elasticity, 2012 - Springer
Brittle Griffith-type delamination of compounds is deduced by means of Γ-convergence from
partial, isotropic damage of three-specimen-sandwich-structures by flattening the middle …

Thermodynamics and analysis of rate-independent adhesive contact at small strains

R Rossi, T Roubíček - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
We address a model for adhesive unilateral frictionless Signorini-type contact between
bodies of heat-conductive viscoelastic material, in the linear Kelvin–Voigt rheology …