Mechanics of Deformable Solids: Linear and Nonlinear, Analytical and Computational Aspects
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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.
Preface1Basic mechanics12Variational formulations, work and energy theorems293Theory of beams (strength of materials)494Torsion of beams955Theory of thin plates1236Bending of thin plates in polar coordinates1437Two-dimensional problems in Cartesian coordinates1638Two-dimensional problems in polar coordinates1939Thermo-elasticity23310Elastic stability24911Theory of thin shells27312Elasto-plasticity30113Elasto-viscoplasticity32914Nonlinear continuum mechanics33715Nonlinear elasticity36916Finite-strain elasto-plasticity39717Cyclic plasticity42318Damage mechanics43919Strain localization46920Micro-mechanics of materials517ACylindrical coordinates543BCardan's formulae549CMatrices for the representation of second- and fourth-order tensors551DZero-stress constraints557
