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 vanishing viscosity approach to a rate-independent damage model

D Knees, R Rossi, C Zanini - Mathematical Models and Methods in …, 2013 - World Scientific
We analyze a rate-independent model for damage evolution in elastic bodies. The central
quantities are a stored energy functional and a dissipation functional, which is assumed to …

Rate-independent damage processes in nonlinear elasticity

A Mielke, T Roubíček - … Models and Methods in Applied Sciences, 2006 - World Scientific
Damage of an elastic body undergoing large deformations by a" hard-device" loading
possibly combined with an impact (modeled by a unilateral frictionless contact) of another …

[图书][B] Phase change in mechanics

M Frémond - 2012 - books.google.com
Predictive theories of phenomena involving phase change with applications in engineering
are investigated in this volume, eg solid-liquid phase change, volume and surface damage …

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 …

Complete damage in elastic and viscoelastic media and its energetics

A Mielke, T Roubíček, J Zeman - Computer Methods in Applied Mechanics …, 2010 - Elsevier
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 …

On a doubly nonlinear model for the evolution of damaging in viscoelastic materials

E Bonetti, G Schimperna, A Segatti - Journal of Differential Equations, 2005 - Elsevier
We consider a model describing the evolution of damage in visco-elastic materials, where
both the stiffness and the viscosity properties are assumed to degenerate as the damaging …

``Entropic” solutions to a thermodynamically consistent PDE system for phase transitions and damage

E Rocca, R Rossi - SIAM Journal on Mathematical Analysis, 2015 - SIAM
In this paper we analyze a PDE system modeling (nonisothermal) phase transitions and
damage phenomena in thermoviscoelastic materials. The model is thermodynamically …

A degenerating PDE system for phase transitions and damage

E Rocca, R Rossi - Mathematical Models and Methods in Applied …, 2014 - World Scientific
In this paper, we analyze a PDE system arising in the modeling of phase transition and
damage phenomena in thermoviscoelastic materials. The resulting evolution equations in …

A complete-damage problem at small strains

G Bouchitté, A Mielke, T Roubíček - Zeitschrift für angewandte Mathematik …, 2009 - Springer
Damage of a linearly-responding material that can completely disintegrate is addressed at
small strains. Using time-varying Dirichlet boundary conditions we set up a rateindependent …