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

ISBN-13: 9783540669609 / Angielski / Twarda / 2000 / 579 str.

I. Doghri; Issam Doghri

Opis

This book is based on lllY experience in teaching. research, computer software developlllcnt and consulting. The audience for this book includes students, engineers or researchers in me chanical engineering, civil engineering, applied mathelllatics, materials sci ence, and other people who wish or rlPcd to have a good introduction to the mechanics of deforlllable solids and structures. SOllle chapters of the book are usually taught at the undergraduate level (e.g., beallls and plates in linear elasticity) while others (e.g., large deformations, numel'ic, l algoritluns, shells) are usually studied Cit the graduate level. Some topies are even at the fringe of research (e.g .. computational algorithllls for nonlinear lllechanics, damage mec: hanics. lllicro-mechanics). 1 belieye however t1wt my presentation of advanced subjects is dear enough to be accessible to undel'graduate students and prac: ticing engineers if they are willing to invest SOllle effort. whic: h 1 tried to minimize.;Iost mec: hanical ami civil engineers will be faced in their professiemal life with at least some problems ]wlonging to the advanced materiaL and even if they use commer eial software to solve thell1, a cor rect understanding of the basic ideas will help thelll to proc: eed properly when setting up a problem, running a code"

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.