Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients

DOI10.1002/mma.3393zbMath1381.74039arXiv1402.4177OpenAlexW2599035516MaRDI QIDQ2795233

Christian Heinemann, Elisabetta Rocca

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4177

zbMATH Keywords

nonlinear boundary value problemsglobal existence of weak solutionsdamage phenomenathermoviscoelastic materials

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Theories of fracture and damage (74A45) Nonlinear constitutive equations for materials with memory (74D10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity ⋮ A temperature-dependent phase-field model for phase separation and damage ⋮ ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage

Cites Work

• Phase change in mechanics.
• Well-posedness results for a model of damage in thermoviscoelastic materials
• Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials
• A complete-damage problem at small strains
• Compact sets in the space \(L^ p(0,T;B)\)
• Damage, gradient of damage and principle of virtual power
• Local existence for Frémond's model of damage in elastic materials
• Existence results for diffuse interface models describing phase separation and damage
• Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage
• Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
• On A Class Of Doubly Nonlinear Evolution Equations
• RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY
• Nonlinear partial differential equations with applications

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