{"product_id":"computational-methods-for-plasticity-isbn-9780470694527","title":"Computational Methods for Plasticity","description":"The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. \u003ci\u003eComputational Methods for Plasticity: Theory and Applications\u003c\/i\u003e describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book:  \u003cul\u003e \u003cli\u003eOffers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume.\u003c\/li\u003e \u003cli\u003eIncludes many numerical examples that illustrate the application of the methodologies described.\u003c\/li\u003e \u003cli\u003eProvides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics.\u003c\/li\u003e \u003cli\u003eIs accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book’s companion website.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThis comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.\u003c\/p\u003e  \u003cb\u003ePart One Basic concepts\u003c\/b\u003e\u003cbr\u003e 1 Introduction\u003cbr\u003e 1.1 Aims and scope\u003cbr\u003e 1.2 Layout\u003cbr\u003e 1.3 General scheme of notation\u003cbr\u003e   \u003cp\u003e\u003cb\u003e2 ELEMENTS OF TENSOR ANALYSIS\u003c\/b\u003e\u003cbr\u003e 2.1 Vectors\u003cbr\u003e 2.2 Second-order tensors\u003cbr\u003e 2.3 Higher-order tensors\u003cbr\u003e 2.4 Isotropic tensors\u003cbr\u003e 2.5 Differentiation\u003cbr\u003e 2.6 Linearisation of nonlinear problems\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 THERMODYNAMICS\u003c\/b\u003e\u003cbr\u003e 3.1 Kinematics of deformation\u003cbr\u003e 3.2 Infinitesimal deformations\u003cbr\u003e 3.3 Forces. Stress Measures\u003cbr\u003e 3.4 Fundamental laws of thermodynamics\u003cbr\u003e 3.5 Constitutive theory\u003cbr\u003e 3.6 Weak equilibrium. The principle of virtual work\u003cbr\u003e 3.7 The quasi-static initial boundary value problem\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The finite element method in quasi-static nonlinear solid mechanics\u003c\/b\u003e\u003cbr\u003e 4.1 Displacement-based finite elements\u003cbr\u003e 4.2 Path-dependent materials. The incremental finite element procedure\u003cbr\u003e 4.3 Large strain formulation\u003cbr\u003e 4.4 Unstable equilibrium. The arc-length method\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Overview of the program structure\u003c\/b\u003e\u003cbr\u003e 5.1 Introduction\u003cbr\u003e 5.2 The main program\u003cbr\u003e 5.3 Data input and initialisation\u003cbr\u003e 5.4 The load incrementation loop. Overview\u003cbr\u003e 5.5 Material and element modularity\u003cbr\u003e 5.6 Elements. Implementation and management\u003cbr\u003e 5.7 Material models: implementation and management\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart Two Small strains\u003cbr\u003e 6 The mathematical theory of plasticity\u003cbr\u003e \u003c\/b\u003e6.1 Phenomenological aspects\u003cbr\u003e 6.2 One-dimensional constitutive model\u003cbr\u003e 6.3 General elastoplastic constitutive model\u003cbr\u003e 6.4 Classical yield criteria\u003cbr\u003e 6.5 Plastic flow rules\u003cbr\u003e 6.6 Hardening laws\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Finite elements in small-strain plasticity problems\u003cbr\u003e \u003c\/b\u003e7.1 Preliminary implementation aspects\u003cbr\u003e 7.2 General numerical integration algorithm for elastoplastic constitutive equations\u003cbr\u003e 7.3 Application: integration algorithm for the isotropically hardening von Mises model\u003cbr\u003e 7.4 The consistent tangent modulus\u003cbr\u003e 7.5 Numerical examples with the von Mises model\u003cbr\u003e 7.6 Further application: the von Mises model with nonlinear mixed hardening\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Computations with other basic plasticity models\u003c\/b\u003e\u003cbr\u003e 8.1 The Tresca model\u003cbr\u003e 8.2 The Mohr-Coulomb model\u003cbr\u003e 8.3 The Drucker-Prager model\u003cbr\u003e 8.4 Examples\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Plane stress plasticity\u003c\/b\u003e\u003cbr\u003e 9.1 The basic plane stress plasticity problem\u003cbr\u003e 9.2 Plane stress constraint at the Gauss point level\u003cbr\u003e 9.3 Plane stress constraint at the structural level\u003cbr\u003e 9.4 Plane stress-projected plasticity models\u003cbr\u003e 9.5 Numerical examples\u003cbr\u003e 9.6 Other stress-constrained states\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Advanced plasticity models\u003c\/b\u003e\u003cbr\u003e 10.1 A modified Cam-Clay model for soils\u003cbr\u003e 10.2 A capped Drucker-Prager model for geomaterials\u003cbr\u003e 10.3 Anisotropic plasticity: the Hill, Hoffman and Barlat-Lian models\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Viscoplasticity\u003c\/b\u003e\u003cbr\u003e 11.1 Viscoplasticity: phenomenological aspects\u003cbr\u003e 11.2 One-dimensional viscoplasticity model\u003cbr\u003e 11.3 A von Mises-based multidimensional model\u003cbr\u003e 11.4 General viscoplastic constitutive model\u003cbr\u003e 11.5 General numerical framework\u003cbr\u003e 11.6 Application: computational implementation of a von Mises-based model\u003cbr\u003e 11.7 Examples\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Damage mechanics\u003c\/b\u003e\u003cbr\u003e 12.1 Physical aspects of internal damage in solids\u003cbr\u003e 12.2 Continuum damage mechanics\u003cbr\u003e 12.3 Lemaitre's elastoplastic damage theory\u003cbr\u003e 12.4 A simplified version of Lemaitre's model\u003cbr\u003e 12.5 Gurson's void growth model\u003cbr\u003e 12.6 Further issues in damage modelling\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart Three Large strains\u003cbr\u003e 13 Finite strain hyperelasticity\u003cbr\u003e \u003c\/b\u003e13.1 Hyperelasticity: basic concepts\u003cbr\u003e 13.2 Some particular models\u003cbr\u003e 13.3 Isotropic finite hyperelasticity in plane stress\u003cbr\u003e 13.4 Tangent moduli: the elasticity tensors\u003cbr\u003e 13.5 Application: Ogden material implementation\u003cbr\u003e 13.6 Numerical examples\u003cbr\u003e 13.7 Hyperelasticity with damage: the Mullins effect\u003c\/p\u003e \u003cp\u003e\u003cbr\u003e \u003cb\u003e14 Finite strain elastoplasticity\u003cbr\u003e \u003c\/b\u003e14.1 Finite strain elastoplasticity: a brief review\u003cbr\u003e 14.2 One-dimensional finite plasticity model\u003cbr\u003e 14.3 General hyperelastic-based multiplicative plasticity model\u003cbr\u003e 14.4 The general elastic predictor\/return-mapping algorithm\u003cbr\u003e 14.5 The consistent spatial tangent modulus\u003cbr\u003e 14.6 Principal stress space-based implementation\u003cbr\u003e 14.7 Finite plasticity in plane stress\u003cbr\u003e 14.8 Finite viscoplasticity\u003cbr\u003e 14.9 Examples\u003cbr\u003e 14.10 Rate forms: hypoelastic-based plasticity models\u003cbr\u003e 14.11 Finite plasticity with kinematic hardening\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Finite elements for large-strain incompressibility\u003c\/b\u003e\u003cbr\u003e 15.1 The F-bar methodology\u003cbr\u003e 15.2 Enhanced assumed strain methods\u003cbr\u003e 15.3 Mixed u\/p formulations\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Anisotropic finite plasticity: Single crystals\u003c\/b\u003e\u003cbr\u003e 16.1 Physical aspects\u003cbr\u003e 16.2 Plastic slip and the Schmid resolved shear stress\u003cbr\u003e 16.3 Single crystal simulation: a brief review\u003cbr\u003e 16.4 A general continuum model of single crystals\u003cbr\u003e 16.5 A general integration algorithm\u003cbr\u003e 16.6 An algorithm for a planar double-slip model\u003cbr\u003e 16.7 The consistent spatial tangent modulus\u003cbr\u003e 16.8 Numerical examples\u003cbr\u003e 16.9 Viscoplastic single crystals\u003cbr\u003e \u003c\/p\u003e \u003cp\u003eAppendices\u003cbr\u003e A Isotropic functions of a symmetric tensor\u003cbr\u003e A.1 Isotropic scalar-valued functions\u003cbr\u003e A.1.1 Representation\u003cbr\u003e A.1.2 The derivative of anisotropic scalar function\u003cbr\u003e A.2 Isotropic tensor-valued functions\u003cbr\u003e A.2.1 Representation\u003cbr\u003e A.2.2 The derivative of anisotropic tensor function\u003cbr\u003e A.3 The two-dimensional case\u003cbr\u003e A.3.1 Tensor function derivative\u003cbr\u003e A.3.2 Plane strain and axisymmetric problems\u003cbr\u003e A.4 The three-dimensional case\u003cbr\u003e A.4.1 Function computation\u003cbr\u003e A.4.2 Computation of the function derivative\u003cbr\u003e A.5 A particular class of isotropic tensor functions\u003cbr\u003e A.5.1 Two dimensions\u003cbr\u003e A.5.2 Three dimensions\u003cbr\u003e A.6 Alternative procedures\u003c\/p\u003e \u003cp\u003eB The tensor exponential\u003cbr\u003e B.1 The tensor exponential function\u003cbr\u003e B.1.1 Some properties of the tensor exponential function\u003cbr\u003e B.1.2 Computation of the tensor exponential function\u003cbr\u003e B.2 The tensor exponential derivative\u003cbr\u003e B.2.1 Computer implementation\u003cbr\u003e B.3 Exponential map integrators\u003cbr\u003e B.3.1 The generalised exponential map midpoint rule\u003c\/p\u003e \u003cp\u003eC Linearisation of the virtual work\u003cbr\u003e C.1 Infinitesimal deformations\u003cbr\u003e C.2 Finite strains and deformations\u003cbr\u003e C.2.1 Material description\u003cbr\u003e C.2.2 Spatial description\u003c\/p\u003e \u003cp\u003eD Array notation for computations with tensors\u003cbr\u003e D.1 Second-order tensors\u003cbr\u003e D.2 Fourth-order tensors\u003cbr\u003e D.2.1 Operations with non-symmetric tensors\u003c\/p\u003e \u003cp\u003eReferences\u003cbr\u003e Index\u003cbr\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eEduardo de Souza Neto\u003c\/b\u003e is a senior lecturer at the School of Engineering, University of Wales, Swansea, where he teaches a postgraduate course on the finite element method, and undergraduate courses on structural mechanics and soil mechanics. He also currently teaches external courses on computational plasticity; and his research interests include, amongst others, damage mechanics, computational plasticity, contact with friction and finite element technology. He is an international advisory board member for the Latin American Journal of Solids and Structures, and has authored 30 papers in refereed research journals as well as many conference papers, and 4 book contributions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDavid Owen\u003c\/b\u003e is Professor in Civil Engineering at the University of Wales, Swansea, and chairman of Rockfield Software Ltd. He is an international authority on finite element and discrete element techniques, and is the author of seven textbooks and over three hundred and fifty scientific publications. In addition to being the editor of over thirty monographs and conference proceedings, Professor Owen is also the editor of the International Journal for Engineering Computations and is a member of several Editorial Boards. His involvement in academic research has lead to the supervision of over sixty Ph.D. students. Professor Owen is a fellow of the RAE and ICE.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDjordje Peric\u003c\/b\u003e is Professor in the Department of Civil Engineering, University of Wales, Swansea. He has an established reputation in the field of non-linear computational mechanics and is the author of over 150 research publications. He has also edited two special journal issues, and serves as an editorial board member of five international academic journals. Over the last decade Professor Peric has attracted approximately £2.5 million of research grants and funding from the UK Engineering and Physical Sciences Research Council, and various industries including Unilever, British Steel, Rolls Royce, MIC and Rockfield Software.\u003c\/p\u003e  The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. \u003ci\u003eComputational Methods for Plasticity: Theory and Applications\u003c\/i\u003e describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book:  \u003cul\u003e \u003cli\u003eOffers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume.\u003c\/li\u003e \u003cli\u003eIncludes many numerical examples that illustrate the application of the methodologies described.\u003c\/li\u003e \u003cli\u003eProvides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics.\u003c\/li\u003e \u003cli\u003eIs accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book’s companion website.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThis comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988966621413,"sku":"NP9780470694527","price":216.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470694527.jpg?v=1761782242","url":"https:\/\/k12savings.com\/es\/products\/computational-methods-for-plasticity-isbn-9780470694527","provider":"K12savings","version":"1.0","type":"link"}