Nonlinear quasistatic problems of gradient type in inelastic deformations theory

DOI10.1016/J.JMAA.2009.04.013zbMath1178.35360OpenAlexW1968375655MaRDI QIDQ1025841

Przemysław Kamiński

Publication date: 23 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.013

zbMATH Keywords

Young measurespartial differential equationsYosida approximationmechanics of deformable solidsnonlinear constitutive equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (5)

On strong solutions of viscoplasticity without safe-load conditions ⋮ On a thermo‐visco‐elastic model with nonlinear damping forces andL¹temperature data ⋮ Boundary regularity for self-controlling and Cosserat models of viscoplasticity: Interior estimates for models of power type ⋮ Quasistatic viscoplasticity without safe-load conditions ⋮ Dynamical poroplasticity model -- existence theory for gradient type nonlinearities with Lipschitz perturbations

Cites Work

• Materials with memory. Initial-boundary value problems for constitutive equations with internal variables
• On quasistatic inelastic models of gradient type with convex composite constitutive equations
• Nonhomogeneous initial-boundary value problems for coercive and self-controlling models of monotone type
• A mathematical model for induction hardening including mechanical effects
• Convergence of coercive approximations for strictly monotone quasistatic models in inelastic deformation theory
• Nonlinear problems in inelastic deformation theory
• Recent Developments in the Mathematical Theory of Plasticity
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