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Materials with Memory: Initial-Boundary Value Problems for Constitutive Equations with Internal Variables
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Materials with Memory ([EBook]) : Initial-Boundary Value Problems for Constitutive Equations with Internal Variables / by Hans-Dieter Alber
Author
Alber, Hans-Dieter , 1949
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg , 1998
Physical Details
X, 170 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1682
ISBN
9783540696896
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0096273
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Mechanical Engineering
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Mechanics
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Mechanics, Applied
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Partial differential equations
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Authors:
Alber, Hans-Dieter 1949
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515
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