LEADER 05123nam 22006254a 450 001 9910783093403321 005 20230523114956.0 010 $a1-282-25801-X 010 $a9786612258015 010 $a0-08-092241-4 035 $a(CKB)1000000000748346 035 $a(EBL)428685 035 $a(OCoLC)476274839 035 $a(SSID)ssj0000144807 035 $a(PQKBManifestationID)11155256 035 $a(PQKBTitleCode)TC0000144807 035 $a(PQKBWorkID)10147841 035 $a(PQKB)10722380 035 $a(MiAaPQ)EBC428685 035 $a(Au-PeEL)EBL428685 035 $a(CaPaEBR)ebr10286078 035 $a(CaONFJC)MIL225801 035 $a(PPN)157571602 035 $a(EXLCZ)991000000000748346 100 $a20090316d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aElasticity$b[electronic resource] $etheory, applications, and numerics /$fMartin H. Sadd 205 $a2nd ed. 210 $aAmsterdam ;$aBoston $cElsevier/AP$dc2009 215 $a1 online resource (553 p.) 300 $aDescription based upon print version of record. 311 $a0-12-374446-6 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Elasticity: Theory, Applications, and Numerics; Copyright Page; Contents; Preface; About the Author; PART I: FOUNDATIONS AND ELEMENTARY APPLICATIONS; Chapter 1. Mathematical Preliminaries; 1.1 Scalar, Vector, Matrix, and Tensor Definitions; 1.2 Index Notation; 1.3 Kronecker Delta and Alternating Symbol; 1.4 Coordinate Transformations; 1.5 Cartesian Tensors; 1.6 Principal Values and Directions for Symmetric Second-Order Tensors; 1.7 Vector, Matrix, and Tensor Algebra; 1.8 Calculus of Cartesian Tensors; 1.9 Orthogonal Curvilinear Coordinates 327 $aChapter 2. Deformation: Displacements and Strains2.1 General Deformations; 2.2 Geometric Construction of Small Deformation Theory; 2.3 Strain Transformation; 2.4 Principal Strains; 2.5 Spherical and Deviatoric Strains; 2.6 Strain Compatibility; 2.7 Curvilinear Cylindrical and Spherical Coordinates; Chapter 3. Stress and Equilibrium; 3.1 Body and Surface Forces; 3.2 Traction Vector and Stress Tensor; 3.3 Stress Transformation; 3.4 Principal Stresses; 3.5 Spherical, Deviatoric, Octahedral, and von Mises Stresses; 3.6 Equilibrium Equations 327 $a3.7 Relations in Curvilinear Cylindrical and Spherical CoordinatesChapter 4. Material Behavior-Linear Elastic Solids; 4.1 Material Characterization; 4.2 Linear Elastic Materials-Hooke's Law; 4.3 Physical Meaning of Elastic Moduli; 4.4 Thermoelastic Constitutive Relations; Chapter 5. Formulation and Solution Strategies; 5.1 Review of Field Equations; 5.2 Boundary Conditions and Fundamental Problem Classifications; 5.3 Stress Formulation; 5.4 Displacement Formulation; 5.5 Principle of Superposition; 5.6 Saint-Venant's Principle; 5.7 General Solution Strategies 327 $aChapter 6. Strain Energy and Related Principles6.1 Strain Energy; 6.2 Uniqueness of the Elasticity Boundary-Value Problem; 6.3 Bounds on the Elastic Constants; 6.4 Related Integral Theorems; 6.5 Principle of Virtual Work; 6.6 Principles of Minimum Potential and Complementary Energy; 6.7 Rayleigh-Ritz Method; Chapter 7. Two-Dimensional Formulation; 7.1 Plane Strain; 7.2 Plane Stress; 7.3 Generalized Plane Stress; 7.4 Antiplane Strain; 7.5 Airy Stress Function; 7.6 Polar Coordinate Formulation; Chapter 8. Two-Dimensional Problem Solution; 8.1 Cartesian Coordinate Solutions Using Polynomials 327 $a8.2 Cartesian Coordinate Solutions Using Fourier Methods8.3 General Solutions in Polar Coordinates; 8.4 Example Polar Coordinate Solutions; Chapter 9. Extension, Torsion, and Flexure of Elastic Cylinders; 9.1 General Formulation; 9.2 Extension Formulation; 9.3 Torsion Formulation; 9.4 Torsion Solutions Derived from Boundary Equation; 9.5 Torsion Solutions Using Fourier Methods; 9.6 Torsion of Cylinders with Hollow Sections; 9.7 Torsion of Circular Shafts of Variable Diameter; 9.8 Flexure Formulation; 9.9 Flexure Problems without Twist; PART II: ADVANCED APPLICATIONS 327 $aChapter 10. Complex Variable Methods 330 $aElasticity: Theory, Applications and Numerics 2e provides a concise and organized presentation and development of the theory of elasticity, moving from solution methodologies, formulations and strategies into applications of contemporary interest, including fracture mechanics, anisotropic/composite materials, micromechanics and computational methods. Developed as a text for a one- or two-semester graduate elasticity course, this new edition is the only elasticity text to provide coverage in the new area of non-homogenous, or graded, material behavior. Extensive end-of-chapter exercises 606 $aElasticity 615 0$aElasticity. 676 $a531/.382 700 $aSadd$b Martin H$g(Martin Howard)$0627364 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910783093403321 996 $aElasticity$91213404 997 $aUNINA