LEADER 05422nam 2200673Ia 450 001 9910141387503321 005 20230801224413.0 010 $a1-118-43772-1 010 $a1-283-64543-2 010 $a1-118-43771-3 010 $a1-118-43773-X 035 $a(CKB)2670000000246810 035 $a(EBL)1031832 035 $a(OCoLC)812917756 035 $a(SSID)ssj0000718974 035 $a(PQKBManifestationID)11421204 035 $a(PQKBTitleCode)TC0000718974 035 $a(PQKBWorkID)10752646 035 $a(PQKB)10826367 035 $a(MiAaPQ)EBC1031832 035 $a(Au-PeEL)EBL1031832 035 $a(CaPaEBR)ebr10605300 035 $a(CaONFJC)MIL395793 035 $a(EXLCZ)992670000000246810 100 $a20120501h20122013 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to finite strain theory for continuum elasto-plasticity$b[electronic resource] /$fKoichi Hashiguchi, Yuki Yamakawa 210 $aChichester, West Sussek, U.K. $cWiley$d2012, c2013 215 $a1 online resource (441 p.) 225 0$aWiley series in computational mechanics 300 $aDescription based upon print version of record. 311 $a1-119-95185-2 320 $aIncludes bibliographical references and index. 327 $aINTRODUCTION TO FINITE STRAIN THEORY FOR CONTINUUME LASTO-PLASTICITY; Contents; Preface; Series Preface; Introduction; 1 Mathematical Preliminaries; 1.1 Basic Symbols and Conventions; 1.2 Definition of Tensor; 1.2.1 Objective Tensor; 1.2.2 Quotient Law; 1.3 Vector Analysis; 1.3.1 Scalar Product; 1.3.2 Vector Product; 1.3.3 Scalar Triple Product; 1.3.4 Vector Triple Product; 1.3.5 Reciprocal Vectors; 1.3.6 Tensor Product; 1.4 Tensor Analysis; 1.4.1 Properties of Second-Order Tensor; 1.4.2 Tensor Components; 1.4.3 Transposed Tensor; 1.4.4 Inverse Tensor; 1.4.5 Orthogonal Tensor 327 $a1.4.6 Tensor Decompositions 1.4.7 Axial Vector; 1.4.8 Determinant; 1.4.9 On Solutions of Simultaneous Equation; 1.4.10 Scalar Triple Products with Invariants; 1.4.11 Orthogonal Transformation of Scalar Triple Product; 1.4.12 Pseudo Scalar, Vector and Tensor; 1.5 Tensor Representations; 1.5.1 Tensor Notations; 1.5.2 Tensor Components and Transformation Rule; 1.5.3 Notations of Tensor Operations; 1.5.4 Operational Tensors; 1.5.5 Isotropic Tensors; 1.6 Eigenvalues and Eigenvectors; 1.6.1 Eigenvalues and Eigenvectors of Second-Order Tensors 327 $a1.6.2 Spectral Representation and Elementary Tensor Functions 1.6.3 Calculation of Eigenvalues and Eigenvectors; 1.6.4 Eigenvalues and Vectors of Orthogonal Tensor; 1.6.5 Eigenvalues and Vectors of Skew-Symmetric Tensor and Axial Vector; 1.6.6 Cayley-Hamilton Theorem; 1.7 Polar Decomposition; 1.8 Isotropy; 1.8.1 Isotropic Material; 1.8.2 Representation Theorem of Isotropic Tensor-Valued Tensor Function; 1.9 Differential Formulae; 1.9.1 Partial Derivatives; 1.9.2 Directional Derivatives; 1.9.3 Taylor Expansion; 1.9.4 Time Derivatives in Lagrangian and Eulerian Descriptions 327 $a1.9.5 Derivatives of Tensor Field 1.9.6 Gauss's Divergence Theorem; 1.9.7 Material-Time Derivative of Volume Integration; 1.10 Variations and Rates of Geometrical Elements; 1.10.1 Variations of Line, Surface and Volume; 1.10.2 Rates of Changes of Surface and Volume; 1.11 Continuity and Smoothness Conditions; 1.11.1 Continuity Condition; 1.11.2 Smoothness Condition; 2 General (Curvilinear) Coordinate System; 2.1 Primary and Reciprocal Base Vectors; 2.2 Metric Tensors; 2.3 Representations of Vectors and Tensors; 2.4 Physical Components of Vectors and Tensors 327 $a2.5 Covariant Derivative of Base Vectors with Christoffel Symbol 2.6 Covariant Derivatives of Scalars, Vectors and Tensors; 2.7 Riemann-Christoffel Curvature Tensor; 2.8 Relations of Convected and Cartesian Coordinate Descriptions; 3 Description of Physical Quantities in Convected Coordinate System; 3.1 Necessity for Description in Embedded Coordinate System; 3.2 Embedded Base Vectors; 3.3 Deformation Gradient Tensor; 3.4 Pull-Back and Push-Forward Operations; 4 Strain and Strain Rate Tensors; 4.1 Deformation Tensors; 4.2 Strain Tensors; 4.2.1 Green and Almansi Strain Tensors 327 $a4.2.2 General Strain Tensors 330 $aComprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals inclu 410 0$aWiley Series in Computational Mechanics 606 $aElastoplasticity 606 $aStrains and stresses 615 0$aElastoplasticity. 615 0$aStrains and stresses. 676 $a620.1/1233 700 $aHashiguchi$b Koichi$0862551 701 $aYamakawa$b Yuki$0992973 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910141387503321 996 $aIntroduction to finite strain theory for continuum elasto-plasticity$92273726 997 $aUNINA