Elasticity: Theory, applications, and numerics

Martin H. Sadd0126058113, 9780126058116, 9781417549627

Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. Complemented by a Solutions Manual and including MatLab codes and coding, this text is an excellent book teaching guide. – Contains exercises for student engagement as well as the integration and use of MATLAB Software – Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of engineering interest – Presents applications of contemporary interest

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Table of contents :
Cover
……Page 1
Preface……Page 6
Table of Contents……Page 10
About the Author……Page 13
Part I
Foundations and Elementary Applications……Page 14
1 Mathematical Preliminaries……Page 16
2 Deformation: Displacements and Strains……Page 40
3 Stress and Equilibrium……Page 62
4 Material Behavior—Linear Elastic Solids……Page 82
5 Formulation and Solution Strategies……Page 96
6 Strain Energy and Related Principles……Page 116
7 Two-Dimensional Formulation……Page 136
8 Two-Dimensional Problem Solution……Page 151
9 Extension, Torsion, and Flexure of
Elastic Cylinders……Page 213
Part II Advanced Applications……Page 254
10 Complex Variable Methods……Page 257
11 Anisotropic Elasticity……Page 294
12 Thermoelasticity……Page 331
13 Displacement Potentials and Stress
Functions……Page 359
14 Micromechanics Applications……Page 383
15 Numerical Finite and Boundary
Element Methods……Page 425
Appendix A Basic Field Equations in Cartesian,
Cylindrical, and Spherical
Coordinates……Page 449
Appendix B Transformation of Field
Variables Between Cartesian,
Cylindrical, and Spherical
Components……Page 454
Appendix C MATLAB Primer……Page 457
Index……Page 468