1 Overview of Solid MechanicsDEFINING A PROBLEM IN SOLID MECHANICS 2 Governing EquationsMATHEMATICAL DESCRIPTION OF SHAPE CHANGES IN SOLIDSMATHEMATICAL DESCRIPTION OF INTERNAL FORCES IN SOLIDSEQUATIONS OF MOTION AND EQUILIBRIUM FOR DEFORMABLESOLIDSWORK DONE BY STRESSES: PRINCIPL…
"Applied Mechanics of Solids is a powerful tool for understanding how to take advantage of these revolutionary computer advances in the field of solid mechanics. Beginning with a description of the physical and mathematical laws that govern deformation in solids, the text presen…
This reference work offers a method of deriving exact solutions to the biharmonic equation in the context of elasticity problems, and proposes a number of new solutions. Beginning with an in-depth presentation of a general mathematical model, this text proceeds to outline specif…
This reference work offers a method of deriving exact solutions to the biharmonic equation in the context of elasticity problems, and proposes a number of new solutions. Beginning with an in-depth presentation of a general mathematical model, this text proceeds to outline specif…
Cover -- Series page -- Physics of elasticity and crystal defects -- Copyright -- Foreword -- Contents -- Preface -- 1: Strain -- 1.1 The continuum approximation -- 1.2 What is deformation? -- 1.3 The displacement vector and the strain tensor -- 1.3.1 Normal strain and shear str…
Although linear elasticity of defects in solids is well established, this textbook introduces the subject in a novel way by comparing key concepts at the atomic scale and at the usual continuum scale, and it explores the relationships between these treatments. There are exercise…
Mathematical Modelling of Solids with Nonregular Boundaries demonstrates the use of asymptotic methods and other analytical techniques for investigating problems in solid mechanics. Applications to solids with nonregular boundaries are described in detail, providing precise and …