Materials with Memory
Alber, Hans-Dieter.
Materials with Memory Initial-Boundary Value Problems for Constitutive Equations with Internal Variables / [electronic resource] : by Hans-Dieter Alber. - X, 170 p. online resource. - Lecture Notes in Mathematics, 1682 0075-8434 ; . - Lecture Notes in Mathematics, 1682 .
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.
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.
9783540696896
10.1007/BFb0096273 doi
Global analysis (Mathematics).
Mechanical engineering.
Differential equations, partial.
Mechanics, applied.
Mechanics.
Analysis.
Mechanical Engineering.
Partial Differential Equations.
Theoretical and Applied Mechanics.
Classical Mechanics.
QA299.6-433
515
Materials with Memory Initial-Boundary Value Problems for Constitutive Equations with Internal Variables / [electronic resource] : by Hans-Dieter Alber. - X, 170 p. online resource. - Lecture Notes in Mathematics, 1682 0075-8434 ; . - Lecture Notes in Mathematics, 1682 .
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.
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.
9783540696896
10.1007/BFb0096273 doi
Global analysis (Mathematics).
Mechanical engineering.
Differential equations, partial.
Mechanics, applied.
Mechanics.
Analysis.
Mechanical Engineering.
Partial Differential Equations.
Theoretical and Applied Mechanics.
Classical Mechanics.
QA299.6-433
515