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Mechanics today. Vol. 4 /

Mechanics Today, Volume 4 focuses on solid mechanics and applied mathematics. This book is divided into six chapters. Chapter I provides a general description of the basic features and relevant concepts of mixed boundary-value problems in mechanics. The problem of crack extension in a solid under ar...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: American Academy of Mechanics
Otros Autores: Nemat-Nasser, S. (Siavouche), 1936-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York ; Oxford : Pergamon [for] the American Academy of Mechanics, 1978.
Colección:Pergamon mechanics today series.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Mechanics Today; Copyright Page; Table of Contents; Contributors; Preface; Contents of Volume 1; Contents of Volume 2; Contents of Volume 3; Summary; Chapter I. Mixed Boundary-value Problems in Mechanics; 1 INTRODUCTION; 2 DEFINITIONS : MULTIPLE SERIES EQUATIONS, MULTIPLE INTEGRAL EQUATIONS; 3 APPLICATION OF COMPLEX POTENTIALS; 4 REDUCTION TO SINGULAR INTEGRAL EQUATIONS; 5 NUMERICAL SOLUTION OF SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND; 6 INTEGRAL EQUATIONS WITH GENERALIZED CAUCHY KERNELS; 7 SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND; 8 REFERENCES.
  • Chapter II. On the Problem of Crack Extension in Brittle Solids Under General Loading1 INTRODUCTION; 2 REVIEW OF THE TWO-DIMENSIONAL NON-PLANAR CRACK PROBLEM; 3 STATEMENT AND FORMULATION OF THE IN-PLANE PROBLEM; 4 DETERMINATION OF THE CRACK BRANCHING ANGLE AND OF THE CRITICAL LOAD; 5 DISCUSSION OF RESULTS FOR THE TWO-DIMENSIONAL PROBLEM; 6 EXPERIMENTAL WORK; 7 CRACK GROWTH FROM A CRACK FRONT UNDER A GENERAL THREE-DIMENSIONAL STATE OF STRESS; 8 AN EXPERIMENT OF CRACK EXTENSION IN ANTIPLANE DEFORMATION; 9 RELATED WORK ON FRACTURE INVOLVING MODE III DEFORMATIONS.
  • 10 AN APPROXIMATE ANALYSIS FOR MULTIMODE FRACTURE IN BRITTLE SOLIDS11 EXTENSION TO MILDLY DUCTILE SOLIDS; 12 Appendix-Supplemental Definitions; 13 REFERENCES; Chapter Ill. Scattering of Elastic Waves; 1 INTRODUCTION; 2 SCATTERING OF P-WAVES BY A LIQUID SPHERE OR CYLINDER; 3 WAVE PROPAGATION IN A HALF-SPACE CONTAINING A CYLINDRICAL CAVITY; 4 SCATTERING OF ELASTIC WAVES BY RIGID SPHEROIDS; 5 SCATTERING BY A RIGID CIRCULAR DISC; 6 REFERENCES; APPENDIX A; APPENDIX B; APPENDIX C; APPENDIX D; Chapter IV. Electromagnetic Forces in Deformable Continua; 1 INTRODUCTION.
  • 2 BALANCE EQUATIONS OF CONTINUUM MECHANICS3 MAXWELL EQUATIONS FOR MEDIA AT REST; 4 MAXWELL EQUATIONS FOR MOVING MEDIA; 5 MAXWELL STRESS TENSOR AND MINKOWSKI ENERGY-MOMENTUM TENSOR; 6 TOTAL ENERGY-MOMENTUM TENSORS; 7 THE THEORY OF ELECTRONS AND STATISTICAL MECHANICS; 8 MACROSCOPIC MAXWELL-LORENTZ FORCES; 9 MAGNETOSTATIC FORCES ON A WHOLE BODY; 10 MODELS FOR FIELD-MATTER INTERACTIONS; 11 SUMMARY OF ELECTROMAGNETIC FORCES AND ENERGY; 12 CONSTITUTIVE EQUATIONS AND BOUNDARY CONDITIONS; 13 REFERENCES; Chapter V. Problems in Magneto-solid Mechanics; 1 INTRODUCTION; 2 METHODS.
  • 3 STABILITY OF FERROELASTIC STRUCTURES IN MAGNETIC FIELDS4 MECHANICS OF ELASTIC CONDUCTORS; 5 DYNAMIC MAGNETIC FORCES IN SOLIDS; 6 EPILOG; 7 REFERENCES; Chapter VI. On Nonequilibrium Thermodynamics of Continua: Addendum; 1 INTRODUCTION; 2 PRELIMINARIES; 3 SECOND LAW; 4 ON THE NATURE OF EVOLUTIONARY EQUATIONS; 5 NORMALITY RULES; 6 REFERENCES; Author Index; Subject Index.