Materials with memory : initial-boundary value problems for constitutive equations with internal variables / Hans-Dieter Alber
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1682Langue : anglais.Éditeur : Berlin : Springer, 1998ISBN: 9783540640660.ISSN: 1617-9692.Sujet MSC : 35Qxx, Partial differential equations - PDEs of mathematical physics and other areas of application74Cxx, Mechanics of deformable solids - Plastic materials, materials of stress-rate and internal-variable type
74H20, Mechanics of deformable solids, Existence of solutions of dynamical problems in solid mechanics
74H25, Mechanics of deformable solids, Uniqueness of solutions of dynamical problems in solid mechanicsEn-ligne : Springerlink | Zentralblatt | MathSciNet
The book is devoted to initial-boundary value problems, which are derived from the dynamic equation of motion from continuum mechanics, containing the divergence of Cauchy stress tensor. Cauchy stress tensor is expressed via the nonlinear constitutive equation in terms of the gradient of the displacement vector field (like plasticity and viscoplasticity). Here the solutions are also restricted to the dissipation inequality. Just the internal variables involved in the model describe the memory effect.
The book contains 9 chapters, first – an introduction, last – open problems and related results, and an Appendix related to the consequences of the second law of thermodynamics. ... (Zentralblatt)
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