Developments in theoretical and applied mechanics. Volume 3 : Proceedings of the Third Southeastern Conference on Theoretical and Applied Mechanics, sponsored by University of South Carolina, held in Columbia, S. Carolina, March 31-April 1, 1966 / edited by W.A. Shaw.

Developments in Theoretical and Applied Mechanics, Volume 3 presents papers on the proceedings of the Third Southeastern Conference on Theoretical and Applied Mechanics held in Columbia, S. Carolina on March 31-April 1, 1966. The book covers papers in the areas of continuum mechanics, elasticity, pl...

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Bibliographic Details
Corporate Author: Southeastern Conference on Theoretical and Applied Mechanics Columbia, S.C.
Other Authors: Shaw, W. A. (Editor)
Format: eBook
Language:English
Published: [Burlington] : Elsevier Ltd. : Pergamon Press, ©1967.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Front Cover; Developments in theoretical and Applied Mechanics; Copyright Page; Table of Contents; Foreword; Preface; Part 1.Continuum Mechanics; Chapter 1. TIME AND DISPLACEMENT BOUND THEOREMS FOR VISCOUS AND RIGID-VISCO-PLASTIC CONTINUA SUBJECTED TO IMPULSIVE LOADING; ABSTRACT; NOTATION; 1. INTRODUCTION; 2. STABLE VISCOUS MATERIALS; 3. MINIMUM PRINCIPLE FOR VISCOUS CONTINUA; 4. APPLICATION TO DYNAMIC LOADING; 5. SIMPLE VISCOUS MATERIAL; 6. RIGID-VISCO-PLASTIC MATERIALS; 7. CONCLUSIONS; ACKNOWLEDGMENT; REFERENCES; Chapter 2. SOME UNIQUENESS AND EXTREMUM PRINCIPLES FOR RATE-TYPE MATERIALS
  • ABSTRACT1. NOTATION; 2. INTRODUCTION; 3. A VARIATIONAL PRINCIPLE; 4. A UNIQUENESS THEOREM FOR QUASI-STATIC DEFORMATIONS; 5. A MINIMUM PRINCIPLE FOR QUASI-STATIC DEFORMATIONS; 6. APPLICATION TO LINEAR MEDIA; ACKNOWLEDGMENT; REFERENCES; Chapter 3. APPROACH TO INELASTICITY THROUGH DISLOCATIONS AND EXTENDED SLAB ANALOGY; ABSTRACT; NOTATION; INTRODUCTION; SLAB ANALOGY; SLAB ENERGY ANALOGY; RESISTANCE OF DISLOCATION MOTION THROUGH VACANCY CLUSTERS; CRACK INITIATION AROUND A DISLOCATION; SLAB PLASTICITY ANALOGY; APPENDIX I; APPENDIX II; APPENDIX III; CONCLUSION; REFERENCES
  • Chapter 4. EXTENDED THEOREMS OF LIMIT ANALYSIS OF ANISOTROPIC SOLIDSABSTRACT; NOTATION; INTRODUCTION; VARIATIONAL PRINCIPLES; UPPER BOUND THEOREM; APPLICATION OF THEOREMS; DISCUSSION AND CONCLUSION; ACKNOWLEDGMENT; REFERENCES; Part 2.Elasticity; Chapter 5. CRACK PROBLEMS IN THE THEORY OF ELASTICITY; 1. INTRODUCTION; 2. PHYSICAL CONSIDERATIONS; 3. THE GRIFFITH CRACK; 4. THE PENNY-SHAPED CRACK; 5. THE INCLUSION OF COHESIVE FORCES; 6. EXTERNAL CRACKS; 7. TWO-DIMENSIONAL PROBLEMS WITH MORE COMPLICATED GEOMETRY; 8. PENNY-SHAPED CRACKS IN CYLINDERS AND THICK PLATES; 9. DYNAMICAL PROBLEMS
  • CRACK-BORDER THERMAL STRESSES AND STRESS-INTENSITY FACTORSREMARKS ON A CLASS OF BOUNDARY PROBLEMS; CONCLUSION; APPENDIX; ACKNOWLEDGMENT; REFERENCES; Chapter 8. PLANE ELASTOSTATIC ANALYSIS OF AN INFINITE PLATE WITH A DOUBLY PERIODIC ARRAY OF HOLES OR RIGID INCLUSIONS; ABSTRACT; INTRODUCTION; COMPLEX VARIABLE FORMULATION; EQUIVALENT ELASTIC PLATE PROPERTIES; NUMERICAL RESULTS; CLOSURE; ACKNOWLEDGMENT; REFERENCES; Part 3.Plates and shells; Chapter 9.ON THE NONLINEAR THEORY OF THIN PLATES; ABSTRACT; 1. INTRODUCTION; 2. ANALYSIS OF STRAIN; 3. STRESS-STRAIN RELATIONS; 4. EQUILIBRIUM EQUATIONS