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

ISBN-13: 9783642086298 / Angielski / Miękka / 2010 / 579 str.

Issam Doghri

Opis

Three subjects of major interest in one textbook: linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. After the simplest possible, intuitive approach there follows the mathematical formulation and analysis, with computational methods occupying a good portion of the book. There are several worked-out problems in each chapter and additional exercises at the end of the book, plus mathematical expressions are bery often given in more than one notation. The book is intended primarily for students and practising engineers in mechanical and civil engineering, although students and experts from applied mathematics, materials science and other related fields will also find it useful.

Spis treści

Fundamental equations of linear (isotropic) elasticity; Theory of beams (or strength of materials); Torsion of beams and shafts; Thin plates in Kirchhoff-Love theory; Bending of rectangular plates; Bending of circular plates; Two-dimensional problems in rectangular coordinates; Two-dimensional problems in polar coordinates; Thermoelasticity; Buckling of columns; Variantional formulations, workd an energy theorems; This shells in Kirchhoff-Love theory; Thin shells in membrane theory; Bending of axisymmetric cylindrical shells, Linear viscoelasticity; Elastoplasticity and Elastoplasticity in small strains; Large strains, displacements and rotations; Constitutive models in finite strains; Damage mechanics; Micromechanics

Blurb

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.