1.

Record Nr.

UNINA9910146298803321

Autore

Alber Hans-Dieter <1949->

Titolo

Materials with Memory : Initial-Boundary Value Problems for Constitutive Equations with Internal Variables / / by Hans-Dieter Alber

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998

ISBN

3-540-69689-X

Edizione

[1st ed. 1998.]

Descrizione fisica

1 online resource (X, 170 p.)

Collana

Lecture Notes in Mathematics, , 1617-9692 ; ; 1682

Classificazione

73F15

73E50

Disciplina

531

Soggetti

Mathematical analysis

Mechanical engineering

Differential equations

Mechanics, Applied

Mechanics

Analysis

Mechanical Engineering

Differential Equations

Engineering Mechanics

Classical Mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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 existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background.