Materials with Memory Initial-Boundary Value Problems for Constitutive Equations with Internal Variables /

• Main Author: Alber, Hans-Dieter (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1682
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Mechanical engineering.; Partial differential equations.; Mechanics.; Mechanics, Applied.; Analysis.; Mechanical Engineering.; Partial Differential Equations.; Theoretical and Applied Mechanics.; Classical Mechanics.

This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving ex...

Table of Contents:

• Initial-boundary value problems for the inelastic behavior of metals
• Constitutive equations of monotone type and generalized standard materials
• Existence of solutions for constitutive equations of monotone type
• Transformation of interior variables
• Classification conditions
• Transformation of rate independent constitutive equations
• Application of the theory to engineering models
• Open problems and related results.