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Variational methods in the mechanics of solids : proceedings of the IUTAM Symposium on Variational Methods in the Mechanics of Solids held at Northwestern University, Evanston, Illinois, U.S.A., 11-13 September 1978 /
Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on ad...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores Corporativos: | , |
| Otros Autores: | |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Pergamon Press,
1980.
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| Edición: | First edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Variational Methods in the Mechanics of Solids; Copyright Page ; PREFACE; Table of Contents; SCIENTIFIC PROGRAM; LIST OF PARTICIPANTS; General Lectures; Chapter 1. Remarks on Some Asymptotic Problems in Composite and in Perforated Materials; 1. INTRODUCTION; 2. MULTI-SCALE ASYMPTOTIC EXPANSIONS; 3. COMPOSITE MATERIALS WITH SHORT RANGE MEMORY; 4. COMPOSITE MATERIALS WITH LONG RANGE MEMORY; 5. PERFORATED MATERIALS; REFERENCES; Chapter 2. Mathematical and Computational Methods in Plasticity; ABSTRACT; 1. INTRODUCTION; 2. THE PROPERTIES OF BD; 3. EXISTENCE OF u IN BD.
- 4. SOLUTION OF NONLINEAR FINITE ELEMENT EQUATIONSACKNOWLEDGMENT; REFERENCES; Chapter 3. New Variational Irreversible Thermodynamics of Open Physical-Chemical Continua; ABSTRACT; 1. INTRODUCTION; 2. THERMOBARIC TRANSFER: A NEW CONCEPT; 3. COLLECTIVE DEFINITION OF THE ENERGY AND ENTROPY OF AN OPEN CELL; 4. CELL POTENTIAL; 5. DEFORMABLE OPEN CELL; 6. NEW EXPRESSIONS FOR THE AFFINITY AND HEAT OF REACTION; 7. NEW DEFINITION OF THE CHEMICAL POTENTIAL; 8. COLLECTIVE POTENTIAL; 9. PRINCIPLE OF VIRTUAL DISSIPATION.
- 10. FIELD DIFFERENTIAL EQUATIONS FOR A DEFORMABLE PHYSICAL-CHEMICAL SOLID WITH BODY FORCES11. LAGRANGIAN EQUATIONS; 12. EVOLUTION OF A DEFORMABLE OPEN CELL: VISCOELASTICITY, PLASTICITY AND HEREDITY; 13. VISCOUS FLUID MIXTURES WITH THERMOMOLECULAR DIFFUSION; 14. GENERAL APPLICABILITY; REFERENCES; Session A: Composites; Eigenvalue Problems; Chapter 4. Macroscopic Behavior of Elastic Material with Periodically Spaced Rigid Inclusions; ABSTRACT; 1. THE GOVERNING EQUATIONS; 2. THE HOMOGENIZATION RESULT; 3. PROOF OF THEOREM 2; REFERENCES.
- Chapter 5. Variational Methods for Eigenvalue Problems in CompositesABSTRACT; 1. INTRODUCTION; 2. STATEMENT OF PROBLEM; 3. LIOUVILLE TRANSFORMATION; 4. UPPER BOUNDS FOR EIGENVALUES: RAYLEIGK QUOTIENTS AND NEW QUOTIENTS; 5. LOWER BOUNDS FOR [lambda]; 6. EXAMPLES; 7. NUMERICAL RESULTS AND DISCUSSION; ACKNOWLEDGMENT; REFERENCES; Chapter 6. Relationships Between Derivations of the Overall Properties of Composites by Perturbation Expansions and Variational Principles; ABSTRACT; 1. INTRODUCTION; 2. PERTURBATION THEORY; 3. VARIATIONAL APPROACH; 4. EXAMPLE; REFERENCES.
- Chapter 7. Stabilization of the Lanczos Method and its Application to Structural VibrationABSTRACT; 1. INTRODUCTION; 2. THE ALGORITHM; 3. INTERACTION EIGENVALUE PROBLEM; 4. BREAKDOWN OF THE PROCESS; 5. RESTORATION OF ORTHOGONALITY; 6. NUMERICAL EXPERIMENTS; 7. CONCLUSIONS; REFERENCES; Session B: General Methods; Chapter 8. Theory of Connectivity. A Unified Approach to Boundary Methods; ABSTRACT; 1. INTRODUCTION; 2. GENERAL DIFFRACTION PROBLEM; 3. PROBLEM OF CONNECTING; 4. VARIATIONAL PRINCIPLES; REFERENCES; Chapter 9. On Direct Discrete Methods and Their Application to Mechanics.