Online Resource
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg
Format:
Online-Ressource
ISBN:
9783642110962
Series Statement:
C.I.M.E. Summer Schools 74
Content:
R. Bouc, G. Geymonat: Periodic problems in thermoviscoelasticity.- A. Day: The thermodynamics of materials with memory.- M. Fabrizio: Sulla nozione di stato nella termomeccanica dei continui.- G. Fichera: Analytic problems of hereditary phenomena.- M. Ribaric: The black box approach and systems with memory.- R.S. Rivlin: The theory of constitutive equations.-
Note:
Description based upon print version of record
,
Materials with Memory; Copyright Page; Content; Periodic Problems in Thermoviscoelasticity; Introduction; 1- Background on the mechanics of continuous medium with hidden variables; 2- A linearization result; 3- Some examples; 4- Some results on the nonlinear heat equation; 5- Duality and virtual work; 6- A viscoelastic constitutive equation with periodic coefficients; 7- The periodic bilateral problem for a Maxwell body; 8- The periodic unilateral Signorini problem; Bibliography; The Thermodynamics of Materials with Memory; Introduction
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1. Thermodynamic restrictions on hereditary response functionals2. Thermodynamic restrictions in mechanics; 3. Thermodynamics based on an inequality; Bibliography; Sulla Nozione di Stato Nella Termomeccanica dei Continui; Bibliografia; Analytic Problems of Hereditary Phenomena; 1. The Volterra integro-differential equations in the mathematical theory of elasticity; 2. The abstract Volterra integral equation; 3. The Peano-Gronwall lemma; 4. Some applications of the abstract theory; 5. Elastic body with memory subjected to given body- and surface-forces
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6. Invariance of the spectrum with respect to perturbations due to Volterra's linear integral transforms7. The Volterra integral equation in a infinite interval; 8. Summary on Sobolev spaces; 9. Elliptic and strongly elliptic differential operators; 10. Boundary value problem for strongly elliptic operators and related integro-differential equations; 11. General elliptic boundary value problems and related integro-differential equations; 12. Integro-differential problems in domains with singular boundaries; 14. Concluding remarks; References; The Black Box Approach and Systems with Memory
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I. The black box approach to general systems theoryII. An example; References; Notes on the Theory of Constitutive Equations; Chapter 1. One-Dimensional Constitutive Equations; Chapter 2. The Effect of Superposed Rotation; Chapter 3; Chapter 4. Integrity Bases for Finite Groups; Chapter 5. Integrity Bases for the Full and Proper Orthogonal Groups;
Language:
English
Keywords:
Electronic books
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