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Elastodynamics: 1 Finite motions

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Bibliographic Details
Main Authors:	Eringen, Ahmed Cemal (Author), Şŭhŭbi, Erdoǧan S. (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Acad. Press 1974
Online Access:	Inhaltsverzeichnis
Physical Description:	XV, 341 S. graph. Darst.
ISBN:	012240601X

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adam_text	Titel: Bd. 1. Elastodynamics. Finite motions Autor: Eringen, Ahmed Cemal Jahr: 1974 Contents Preface xi Acknowledgments xv Chapter I. Basic Theory 1.1 Scope of the Chapter t 1.2 Coordinates 2 1.3 Deformation, Motion 4 1.4 Deformation Gradients, Deformation, and Strain Tensors 6 1.5 Length and Angle Changes 9 1.6 Strain Invariants 11 1.7 Area and Volume Changes 16 1.8 Compatibility Conditions 17 1.9 Kinematics, Time Rates of Vectors and Tensors 19 1.10 Global Balance Laws 22 1.11 Local Balance Laws 25 1.12 Local Balance Laws in the Reference Frame 31 1.13 Constitutive Equations of Thermoeiastic Solids 34 1.14 Isotropic Thermoeiastic Solids 43 1.15 Linear Theory 47 1.16 Quadratic Theory 51 1.17 Field Equations 55 1.18 Restrictions on Material Moduli 60 1.19 Resume of Basic Equations of Thermoelasticity 65 1.20 Curvilinear Coordinates 69 viii Contents Chapter II. Propagation of Singular Surfaces 2.1 Scope of the Chapter 77 2.2 Fundamental Formulas for Moving Surfaces 78 2.3 Singular Surfaces 85 2.4 Geometrical Conditions of Compatibility 87 2.5 Kinematical Conditions of Compatibility 89 2.6 Singular Surfaces Associated with the Motion of a Medium 91 2.7 Dynamical Conditions of Compatibility 94 2.8 Classification of Singular Surfaces Associated with Motion 95 2.9 Shock Waves 95 2.10 Shock Waves in Incompressible Materials 101 2.11 Weak Shock Waves 107 2.12 Acceleration Waves 113 2.13 Propagation of Acceleration Waves in Isotropic Materials 118 2.14 Acceleration Waves in Incompressible Solids 127 2.15 Growth of the Acceleration Waves 131 Chapter III. Finite Motions of Elastic Bodies 3.1 Scope of the Chapter 146 3.2 Quasi-Equilibrated Motions of Incompressible Bodies 147 3.3 Radial Oscillations of a Cylindrical Tube 148 3.4 Radial Oscillations of a Spherical Shell 162 3.5 Simple Waves?Special Theory 171 3.6 Plane Waves in Incompressible Elastic Solids 191 3.7 Riemann Problem for an Isotropic Elastic Half-Space 194 3.8 Simple Waves?General Theory 208 3.9 Reflection and Transmission at an Interface 215 3.10 Some Solutions for Special Materials 235 3.11 Other Solutions 243 Chapter IV. Small Motions Superimposed on Large Static Deformations 4.1 Scope of the Chapter 246 4.2 Fundamental Equations 247 4.3 Plane Waves in Homogeneously Deformed Elastic Materials 259 4.4 Surface Waves in Prestressed Materials 267 4.5 Torsional and Longitudinal Oscillations of an Initially Stretched Circular Cylinder 277 4.6 Oscillations of an Initially Twisted Circular Cylinder 285 4.7 Other Solutions 295 Appendix A. Tensor Analysis A.l Scope of Appendix A 297 A.2 Curvilinear Coordinates 298 A.3 Tensors 302 A.4 Physical Components 304 Contents ix A.5 Tensor Calculus 305 A.6 The Riemann-Christoffel Curvature Tensor 312 A.7 Two-Point Tensor Fields 313 Appendix B. Quasilinear System of Hyperbolic Equations with Two Independent Variables B.l Characteristics 315 B.2 The Simple Wave Solutions 320 B.3 Riemann Problem 325 References 327 Index 335
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physical	XV, 341 S. graph. Darst.
publishDate	1974
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publisher	Acad. Press
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spelling	Eringen, Ahmed Cemal Verfasser aut Elastodynamics 1 Finite motions A. Cemal Eringen ; Erdogan S. Suhubi New York [u.a.] Acad. Press 1974 XV, 341 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Şŭhŭbi, Erdoǧan S. Verfasser aut (DE-604)BV002324631 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001523103&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Eringen, Ahmed Cemal Şŭhŭbi, Erdoǧan S. Elastodynamics
title	Elastodynamics
title_auth	Elastodynamics
title_exact_search	Elastodynamics
title_full	Elastodynamics 1 Finite motions A. Cemal Eringen ; Erdogan S. Suhubi
title_fullStr	Elastodynamics 1 Finite motions A. Cemal Eringen ; Erdogan S. Suhubi
title_full_unstemmed	Elastodynamics 1 Finite motions A. Cemal Eringen ; Erdogan S. Suhubi
title_short	Elastodynamics
title_sort	elastodynamics finite motions
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001523103&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT eringenahmedcemal elastodynamics1 AT suhubierdogans elastodynamics1

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