Mechanics of Deformable Solids: Linear, Nonlinear, Analytical and Computational Aspects

✍ Scribed by Issam Doghri (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2000
Tongue: English
Leaves: 586
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Three subjects of major interest are contained in this textbook: Linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. Engineering and mathematics are in a reasonable balance: After the simplest possible, intuitive approach follows the mathematical formulation and analysis. Computational methods occupy a good portion of the book. There are several worked out problems in each chapter and additional exercises at the end of the book. Very often, mathematical expressions are given in more than one notation. The book is intended primarily for students and practising engineers in mechanical and civil engineering. Most of them will be faced with problems of advanced materials and should have a correct understanding of the basic ideas even if they use software to solve them. Students or experts from applied mathematics, materials science and other related fields will also find it useful.

✦ Table of Contents

Front Matter....Pages I-XVIII
Basic mechanics....Pages 1-28
Variational formulations, work and energy theorems....Pages 29-48
Theory of beams (strength of materials)....Pages 49-93
Torsion of beams....Pages 95-122
Theory of thin plates....Pages 123-142
Bending of thin plates in polar coordinates....Pages 143-161
Two-dimensional problems in Cartesian coordinates....Pages 163-191
Two-dimensional problems in polar coordinates....Pages 193-232
Thermo-elasticity....Pages 233-248
Elastic stability....Pages 249-271
Theory of thin shells....Pages 273-299
Elasto-plasticity....Pages 301-327
Elasto-viscoplasticity....Pages 329-335
Nonlinear continuum mechanics....Pages 337-367
Nonlinear elasticity....Pages 369-396
Finite-strain elasto-plasticity....Pages 397-422
Cyclic plasticity....Pages 423-438
Damage mechanics....Pages 439-467
Strain localization....Pages 469-518
Micro-mechanics of materials....Pages 519-544
Back Matter....Pages 545-579

✦ Subjects

Structural Mechanics;Continuum Mechanics and Mechanics of Materials;Computational Intelligence;Mechanics

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