Theory of Elasticity for Scientists and Engineers

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This book is intended to be an introduction to elasticity theory. It is as­ sumed that the student, before reading this book, has had courses in me­ chanics (statics, dynamics) and strength of materials (mechanics of mate­ rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad­ vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu­ tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori­ entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.

Author(s): Teodor M. Atanackovic, Ardéshir Guran (auth.)
Edition: 1
Publisher: Birkhäuser Basel
Year: 2000

Language: English
Pages: 374
Tags: Engineering, general;Solid State Physics;Spectroscopy and Microscopy

Front Matter....Pages i-xii
Analysis of Stress....Pages 1-46
Analysis of Strain....Pages 47-83
Hooke’s Law....Pages 85-111
Boundary Value Problems of Elasticity Theory....Pages 113-141
Solutions for Some Problems of Elasticity Theory....Pages 143-221
Plane State of Strain and Plane State of Stress....Pages 223-266
Energy Method in Elasticity Theory....Pages 267-295
Elementary Theory of Plates....Pages 297-315
Pressure Between Two Bodies in Contact....Pages 317-335
Elastic Stability....Pages 337-364
Back Matter....Pages 365-374