Modeling via the internal energy balance and analysis of adhesive contact with friction in thermoviscoelasticity

DOI10.1016/j.nonrwa.2014.09.020zbMath1304.35672arXiv1207.4859OpenAlexW2017134624MaRDI QIDQ475031

Elena Bonetti, Riccarda Rossi, Giovanna Bonfanti

Publication date: 25 November 2014

Published in: Physica D: Nonlinear Phenomena, Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4859

zbMATH Keywords

frictioncontactthermoviscoelasticityentropy balanceadhesive contactadhesionglobal-in-time existence of weak solutionsinternal energy balancenonsmooth internal constraints

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Fracture and damage (74R99) Nonlinear constitutive equations for materials with memory (74D10) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Theories of friction (tribology) (74A55)

Related Items (15)

An existence result for a model of complete damage in elastic materials with reversible evolution ⋮ A model of imperfect interface with damage ⋮ Local well-posedness for Frémond’s model of complete damage in elastic solids ⋮ Global existence for a nonlocal model for adhesive contact ⋮ Dynamic thermoviscoelastic thermistor problem with contact and nonmonotone friction ⋮ Derivation of imperfect interface models coupling damage and temperature ⋮ Unnamed Item ⋮ Modeling via the internal energy balance and analysis of adhesive contact with friction in thermoviscoelasticity ⋮ Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage ⋮ Global existence for a phase separation system deduced from the entropy balance ⋮ Vibrations of a mass-spring system using a granular-material damper ⋮ GENERIC for dissipative solids with bulk-interface interaction ⋮ A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains ⋮ Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact ⋮ Analysis of a model coupling volume and surface processes in thermoviscoelasticity

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