Materials with Memory

Initial-Boundary Value Problems for Constitutive Equations with Internal Variables

Hans-Dieter Alber (Autor)

Buch | Softcover

X, 170 Seiten

1998
Springer Berlin (Verlag)
978-3-540-64066-0 (ISBN)

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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.

From the contents:
Introduction.- 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 of Mo- dels.- Open Problems and Related Results.- The Second Law of Thermodynamics and the Dissipation Inequality.- Bibliography Index.

Erscheint lt. Verlag	19.2.1998
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	X, 170 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	272 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
Schlagworte	Anfangswertproblem • Anfangswertproblem / Cauchysches Problem • Boundary value problem • continuum mechanics of metals • Differenzialgleichungen • initial-boundary value problems • Materialwissenschaft • Monotone Operators • Partial differential equations • Randwertproblem • Technische Mechanik • thermodynamics • viscoelasticity
ISBN-10	3-540-64066-5 / 3540640665
ISBN-13	978-3-540-64066-0 / 9783540640660
Zustand	Neuware