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Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity /

Three-Dimensional Problems of Elasticity and Thermoelasticity.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Kupradze, V. D., Gegeli�i�a, T. G.
Formato: Electrónico eBook
Idioma:Inglés
Ruso
Publicado: Amsterdam ; New York : New York : North-Holland Pub. Co. ; Sole distributors for the U.S.A. and Canada Elsevier/North-Holland, 1979.
Colección:North-Holland series in applied mathematics and mechanics ; v. 25.
Temas:
Acceso en línea:Texto completo

MARC

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130 0 |a Trekhmernye zadachi matematichesko�i teorii uprugosti i termouprugosti.  |l English. 
245 1 0 |a Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity /  |c edited by V.D. Kupradze ; authors, T.G. Gegelia [and others]. 
260 |a Amsterdam ;  |a New York :  |b North-Holland Pub. Co. ;  |a New York :  |b Sole distributors for the U.S.A. and Canada Elsevier/North-Holland,  |c 1979. 
300 |a 1 online resource (xix, 929 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a North-Holland series in applied mathematics and mechanics ;  |v v. 25 
500 |a Translation of Trekhmernye zadachi matematichesko�i teorii uprugosti i termouprugosti. 
504 |a Includes bibliographical references (pages 889-915). 
500 |a Includes indexes. 
588 0 |a Print version record. 
505 0 |a Front Cover; Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity; Copyright Page; Table of Contents; Preface; CHAPTER I. BASIC CONCEPTS AND AXIOMATIZATION; 1. Stresses; 2. Components of stress; 3. Displacements and rotations; 4. Basic equations in terms of stress components; 5. Hooke's law in classical elasticity; 6. Strain energy in classical elasticity; 7. Strain energy and Hooke's law in the couple-stress theory; 8. Thermoelasticity. Duhamel-Neumann's law; 9. Heat conduction equation; 10. Stationary elastic oscillations. 
505 8 |a 11. Axiomatization of the theory12. Matrix representation of the basic equations; 13. Stress operator; 14. Formulation of the basic problems; 15. Some additional remarks and bibliographic references; CHAPTER II. BASIC SINGULAR SOLUTIONS; 1. Fundamental solutions of classical elasticity; 2. Fundamental solutions of the couple-stress theory; 3. Fundamental solutions of thermoelasticity; 4. Singular solutions of classical elasticity; 5. Singular solutions of the couple-stress theory; 6. Singular solutions of thermoelasticity; 7. Various remarks and bibliographic references; Problems. 
505 8 |a CHAPTER III. UNIQUENESS THEOREMS1. Static problems in classical elasticity; 2. Problems of steady elastic oscillations; 3. Problems of steady thermoelastic oscillations; 4. Static problems in the couple-stress theory; 5. Problems of steady couple-stress oscillations; 6. Uniqueness theorems in dynamic problems; 7. Some remarks and bibliographic references; Problems; CHAPTER IV. SINGULAR INTEGRALS AND INTEGRAL EQUATIONS; 1. Introductory notes. Special classes of functions and their properties; 2. Integral with the kernel having a weak singularity; 3. Singular integrals. 
505 8 |a 4. Formula of inversion of integration order in iterated singular integrals. Composition of singular kernels5. Regularization of singular operators; 6. Basic theorems; 7. Singular resolvent. Properties and applications; 8. Concluding remarks; Problems; CHAPTER V. THE POTENTIAL THEORY; 1. Some auxiliary operators, formulas and theorems; 2. Boundary properties of some potential-type integrals; 3. Single- and double-layer potentials. Angular boundary values; 4. Double-layer potential with density of Class C0.�(S). 
505 8 |a 5. Boundary properties of the first derivatives of the single-layer potential6. Derivatives of single- and double-layer potentials with differentiable density; 7. On differential properties of elastic potentials; 8. Liapunov-Tauber theorems in elasticity; 9. Boundary properties of potentials of the third and the fourth problems; 10. Volume potentials; 11. Bibliographic references; Problems; CHAPTER VI. BOUNDARY VALUE PROBLEMS OF ELASTIC EQUILIBRIUM (STATICS); 1. Boundary value problems for inhomogeneous equations; 2. Integral equations of the boundary value problems. 
520 |a Three-Dimensional Problems of Elasticity and Thermoelasticity. 
650 0 |a Elasticity. 
650 0 |a Thermoelasticity. 
650 2 |a Elasticity  |0 (DNLM)D004548 
650 6 |a �Elasticit�e.  |0 (CaQQLa)201-0024289 
650 6 |a Thermo�elasticit�e.  |0 (CaQQLa)201-0032033 
650 7 |a SCIENCE  |x Mechanics  |x General.  |2 bisacsh 
650 7 |a SCIENCE  |x Mechanics  |x Solids.  |2 bisacsh 
650 7 |a Elasticity  |2 fast  |0 (OCoLC)fst00904211 
650 7 |a Thermoelasticity  |2 fast  |0 (OCoLC)fst01149853 
650 7 |a Elastizit�atstheorie  |2 gnd  |0 (DE-588)4123124-7 
650 7 |a Theorie  |2 gnd  |0 (DE-588)4059787-8 
650 7 |a Thermoelastizit�at  |2 gnd  |0 (DE-588)4185143-2 
650 7 |a �Elasticit�e.  |2 ram 
650 7 |a Thermo�elasticit�e.  |2 ram 
700 1 |a Kupradze, V. D. 
700 1 |a Gegeli�i�a, T. G. 
776 0 8 |i Print version:  |a Trekhmernye zadachi matematichesko�i teorii uprugosti i termouprugosti. English.  |t Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.  |d Amsterdam ; New York : North-Holland Pub. Co. ; New York : Sole distributors for the U.S.A. and Canada Elsevier/North-Holland, 1979  |z 0444851488  |w (DLC) 78007341  |w (OCoLC)3843012 
830 0 |a North-Holland series in applied mathematics and mechanics ;  |v v. 25. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780444851482  |z Texto completo