Elasticity in engineering mechanics

INDICE: Preface. CHAPTER 1 INTRODUCTORY CONCEPTS AND MATHEMATICS. Part I Introduction. 1-1 Trends and Scopes. 1-2 Theory of Elasticity. 1-3 Numerical Stress Analysis. 1-4 General Solution of the Elasticity. 1-5 Experimental Stress Analysis. 1-6 Boundary Value Problems of Elasticity. Part II Preliminary Concepts. 1-7 Brief Summary of Vector Algebra. 1-8 Scalar Point Functions. 1-9 Vector Fields. 1-10 Differentiation of Vectors. 1-11 Differentiation of a Scalar Field. 1-12 Differentiation of a Vector Field. 1-13 Curl of a Vector Field. 1-14 Eulerian Continuity Equation for Fluids. 1-15 Divergence Theorem. 1-16 Divergence Theorem in Two Dimensions. 1-17 Line and Surface Integrals (Application of Scalar Product). 1-18 Stokes's Theorem. 1-19 Exact Differential. 1-20 Orthogonal Curvilinear Coordiantes in Three-Dimensional Space. 1-21 Expression for Differential Length in Orthogonal Curvilinear Coordinates. 1-22 Gradient and Laplacian in Orthogonal Curvilinear Coordinates. Part III Elements of Tensor Algebra. 1-23 Index Notation: Summation Convention. 1-24 Transformation of Tensors under Rotation of Rectangular Cartesian Coordinate System. 1-25 Symmetric and Antisymmetric Parts of a Tensor. 1-26 Symbols ´ij and ijk (the Kronecker Delta and the Alternating Tensor). 1-27 Homogeneous Quadratic Forms. 1-28 Elementary Matrix Algebra. 1-29 Some Topics in the Calculus of Variations. CHAPTER 2THEORY OF DEFORMATION. 2-1 Deformable, Continuous Media. 2-2 Rigid-Body Displacements. 2-3 Deformation of a Continuous Region. Material Variables. Spatial Variables. 2-4 Restrictions on Continuous Deformation of a Deformable Medium. 2-5 Gradient of the Displacement Vector. Tensor Quantity. 2-6 Extension of an Infinitesimal Line Element. 2-7 Physical Significance of ii. Strain Definitions. 2-8 Final Direction of Line Element. Definition of Shearing Strain. Physical Significance of ij(i = j). 2-9 Tensor Character of ±². Strain Tensor. 2-10 Reciprocal Ellipsoid. Principal Strains. Strain Invariants. 2-11 Determination of Principal Strains. Principal Axes. 2-12 Determination of Strain Invariants.Volumetric Strain. 2-13 Rotation of a Volume Element. Relation to Displacement Gradients. 2-14 Homogeneous Deformation. 2-15 Theory of Small Strains and Small Angles of Rotation. 2-16 Compatibility Conditions of the Classical Theory of Small Displacements. 2-17 Additional Conditions Imposed by Continuity. 2-18Kinematics of Deformable Media. Appendix 2A StrainDisplacement Relations in Orthogonal Curvilinear Coordinates. Appendix 2B Derivation of StrainDisplacement Relations for Special Coordinates by Cartesian Methods. Appendix 2C StrainDisplacement Relations in General Coordinates. CHAPTER 3 THEORY OF STRESS. 3-1 Definition of Stress. 3-2 Stress Notation. 3-3 Summation of Moments. Stress at a Point. Stress on an Oblique Plane. 3-4 Tensor Character of Stress. Transformation

• ISBN: 978-0-470-40255-9
• Editorial: John Wiley & Sons
• Encuadernacion: Cartoné
• Páginas: 656
• Fecha Publicación: 30/12/2010
• Nº Volúmenes: 1
• Idioma: Inglés