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Elasticity in engineering mechanics / Arthur P. Boresi, Ken P. Chong and James D. Lee
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Hoboken, NJ : Wiley, c2011Edition: 3rd ed (Online-Ausg.)Description: Online-Ressource (1 online resource (xviii, 638 p.)) : illISBN:- 9781282904767
- 1282904760
- 9780470880364
- 620.11232
- 620.1/1232 22
- 620.1123
- TA418
Contents:
Summary: Comprehensive, accessible, and logical-an outstanding treatment of elasticity in engineering mechanics Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory, including nano- and biomechanics, but also on concrete applications in real engineering situations, this acclaimed work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals. With more than 200 graphs, charts, and tables, this Third Edition includes: Clear explorations of such topics as deformation and stress, stress-strain-temperature relations, plane elasticity, thermal stresses, and end loads Discussions of deformation and stress treated separately for clarity, with emphasis on both their independence and mathematical similarities An overview of the mathematical preliminaries to all aspects of elasticity, from stress analysis to vector fields, from the divergence theorem to tensor algebra Real-world examples and problem sets illustrating the most common elasticity solutions-such as equilibrium equations, the Galerkin vector, and Kelvin's problem Highlights of the similarities and differences between molecular dynamics and continuum theory Presentations of molecular dynamics, including the subjects of definition of temperature at atomistic scale, and interatomic potentials, forces, and stiffness matrices Discussions and real-world examples of biomechanics, including the subjects of finite strain elasticity, constitutive equations of soft biological tissues, incompressibility, aneurysm, plaque on artery wall, and active stresses A series ofSummary: Intro -- ELASTICITY IN ENGINEERING MECHANICS -- CONTENTS -- 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 Problem -- 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 δij 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 -- References -- Bibliography -- CHAPTER 2 THEORY 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 -- Problem Set 2-4.PPN: PPN: 809153157Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE
""Title Page""; ""Copyright""; ""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 Problem""; ""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 Coordinates 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 δij and ϵijk (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 2: Theory 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 ϵii. Strain Definitions""; ""2-8 Final Direction of Line Element. Definition of Shearing Strain. Physical Significance of ϵij(i ≠j)""; ""2-9 Tensor Character of ϵαβ. 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""; ""2-18 Kinematics of Deformable Media""; ""Appendix 2A Strainâ€"Displacement Relations in Orthogonal Curvilinear Coordinates""; ""2A-1 Geometrical Preliminaries""; ""2A-2 Strainâ€"Displacement Relations""
""Appendix 2B Derivation of Strainâ€"Displacement Relations for Special Coordinates by Cartesian Methods""
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