{"product_id":"nonlinear-finite-element-analysis-of-solids-and-structures-isbn-9780470666449","title":"Nonlinear Finite Element Analysis of Solids and Structures","description":"\u003cp\u003eBuilt upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed.\u003c\/p\u003e \u003cp\u003eTogether with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.\u003c\/p\u003e \u003cp\u003eThe authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature.\u003c\/p\u003e \u003cp\u003eKey features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eCombines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations\u003c\/li\u003e \u003cli\u003eExtensive new material on more recent developments in computational mechanics\u003c\/li\u003e \u003cli\u003eEasily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts.\u003c\/li\u003e \u003cli\u003ePseudo-code throughout makes the link between theory and algorithms, and the actual implementation.\u003c\/li\u003e \u003cli\u003eAccompanied by a website (www.wiley.com\/go\/deborst) with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eNon-linear Finite Element Analysis of Solids and Structures, 2nd Edition is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.\u003c\/p\u003e  \u003cp\u003e\u003cb\u003ePreface xi\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eSeries Preface xiii\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eNotation xv\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAbout the Code xxi\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART I BASIC CONCEPTS AND SOLUTION TECHNIQUES\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Preliminaries 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 A Simple Example of Non-linear Behaviour 3\u003c\/p\u003e \u003cp\u003e1.2 A Review of Concepts from Linear Algebra 5\u003c\/p\u003e \u003cp\u003e1.3 Vectors and Tensors 12\u003c\/p\u003e \u003cp\u003e1.4 Stress and Strain Tensors 17\u003c\/p\u003e \u003cp\u003e1.5 Elasticity 23\u003c\/p\u003e \u003cp\u003e1.6 The PyFEM Finite Element Library 25\u003c\/p\u003e \u003cp\u003eReferences 29\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Non-linear Finite Element Analysis 31\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Equilibrium and Virtual Work 31\u003c\/p\u003e \u003cp\u003e2.2 Spatial Discretisation by Finite Elements 33\u003c\/p\u003e \u003cp\u003e2.3 PyFEM: Shape Function Utilities 38\u003c\/p\u003e \u003cp\u003e2.4 Incremental-iterative Analysis 41\u003c\/p\u003e \u003cp\u003e2.5 Load \u003ci\u003eversus\u003c\/i\u003e Displacement Control 50\u003c\/p\u003e \u003cp\u003e2.6 PyFEM: A Linear Finite Element Code with Displacement Control 53\u003c\/p\u003e \u003cp\u003eReferences 62\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Geometrically Non-linear Analysis 63\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Truss Elements 64\u003c\/p\u003e \u003cp\u003e3.2 PyFEM: The Shallow Truss Problem 76\u003c\/p\u003e \u003cp\u003e3.3 Stress and Deformation Measures in Continua 85\u003c\/p\u003e \u003cp\u003e3.4 Geometrically Non-linear Formulation of Continuum Elements 91\u003c\/p\u003e \u003cp\u003e3.5 Linear Buckling Analysis 100\u003c\/p\u003e \u003cp\u003e3.6 PyFEM: A Geometrically Non-linear Continuum Element 103\u003c\/p\u003e \u003cp\u003eReferences 110\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Solution Techniques in Quasi-static Analysis 113\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Line Searches 113\u003c\/p\u003e \u003cp\u003e4.2 Path-following or Arc-length Methods 116\u003c\/p\u003e \u003cp\u003e4.3 PyFEM: Implementation of Riks’ Arc-length Solver 124\u003c\/p\u003e \u003cp\u003e4.4 Stability and Uniqueness in Discretised Systems 129\u003c\/p\u003e \u003cp\u003e4.5 Load Stepping and Convergence Criteria 134\u003c\/p\u003e \u003cp\u003e4.6 Quasi-Newton Methods 138\u003c\/p\u003e \u003cp\u003eReferences 141\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Solution Techniques for Non-linear Dynamics 143\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The Semi-discrete Equations 143\u003c\/p\u003e \u003cp\u003e5.2 Explicit Time Integration 144\u003c\/p\u003e \u003cp\u003e5.3 PyFEM: Implementation of an Explicit Solver 149\u003c\/p\u003e \u003cp\u003e5.4 Implicit Time Integration 152\u003c\/p\u003e \u003cp\u003e5.5 Stability and Accuracy in the Presence of Non-linearities 156\u003c\/p\u003e \u003cp\u003e5.6 Energy-conserving Algorithms 161\u003c\/p\u003e \u003cp\u003e5.7 Time Step Size Control and Element Technology 164\u003c\/p\u003e \u003cp\u003eReferences 165\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART II MATERIAL NON-LINEARITIES\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Damage Mechanics 169\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 The Concept of Damage 169\u003c\/p\u003e \u003cp\u003e6.2 Isotropic Elasticity-based Damage 171\u003c\/p\u003e \u003cp\u003e6.3 PyFEM: A Plane-strain Damage Model 175\u003c\/p\u003e \u003cp\u003e6.4 Stability, Ellipticity and Mesh Sensitivity 179\u003c\/p\u003e \u003cp\u003e6.5 Cohesive-zone Models 185\u003c\/p\u003e \u003cp\u003e6.6 Element Technology: Embedded Discontinuities 190\u003c\/p\u003e \u003cp\u003e6.7 Complex Damage Models 198\u003c\/p\u003e \u003cp\u003e6.8 Crack Models for Concrete and Other Quasi-brittle Materials 201\u003c\/p\u003e \u003cp\u003e\u003ci\u003e6.8.1 Elasticity-based Smeared Crack Models\u003c\/i\u003e 201\u003c\/p\u003e \u003cp\u003e\u003ci\u003e6.8.2 Reinforcement and Tension Stiffening\u003c\/i\u003e 206\u003c\/p\u003e \u003cp\u003e6.9 Regularised Damage Models 210\u003c\/p\u003e \u003cp\u003eReferences 215\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Plasticity 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 A Simple Slip Model 219\u003c\/p\u003e \u003cp\u003e7.2 Flow Theory of Plasticity 223\u003c\/p\u003e \u003cp\u003e7.3 Integration of the Stress–strain Relation 239\u003c\/p\u003e \u003cp\u003e7.4 Tangent Stiffness Operators 249\u003c\/p\u003e \u003cp\u003e7.5 Multi-surface Plasticity 252\u003c\/p\u003e \u003cp\u003e7.6 Soil Plasticity: Cam-clay Model 267\u003c\/p\u003e \u003cp\u003e7.7 Coupled Damage–Plasticity Models 270\u003c\/p\u003e \u003cp\u003e7.8 Element Technology: Volumetric Locking 271\u003c\/p\u003e \u003cp\u003eReferences 277\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Time-dependent Material Models 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Linear Visco-elasticity 281\u003c\/p\u003e \u003cp\u003e8.2 Creep Models 287\u003c\/p\u003e \u003cp\u003e8.3 Visco-plasticity 289\u003c\/p\u003e \u003cp\u003eReferences 303\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART III STRUCTURAL ELEMENTS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Beams and Arches 307\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 A Shallow Arch 307\u003c\/p\u003e \u003cp\u003e9.2 PyFEM: A Kirchhoff Beam Element 317\u003c\/p\u003e \u003cp\u003e9.3 Corotational Elements 321\u003c\/p\u003e \u003cp\u003e9.4 A Two-dimensional Isoparametric Degenerate Continuum Beam Element 328\u003c\/p\u003e \u003cp\u003e9.5 A Three-dimensional Isoparametric Degenerate Continuum Beam Element 333\u003c\/p\u003e \u003cp\u003eReferences 341\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Plates and Shells 343\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Shallow-shell Formulations 344\u003c\/p\u003e \u003cp\u003e10.2 An Isoparametric Degenerate Continuum Shell Element 351\u003c\/p\u003e \u003cp\u003e10.3 Solid-like Shell Elements 356\u003c\/p\u003e \u003cp\u003e10.4 Shell Plasticity: Ilyushin’s Criterion 357\u003c\/p\u003e \u003cp\u003eReferences 361\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART IV LARGE STRAINS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Hyperelasticity 365\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 More Continuum Mechanics 365\u003c\/p\u003e \u003cp\u003e11.2 Strain Energy Functions 374\u003c\/p\u003e \u003cp\u003e11.3 Element Technology 389\u003c\/p\u003e \u003cp\u003eReferences 398\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Large-strain Elasto-plasticity 401\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Eulerian Formulations 402\u003c\/p\u003e \u003cp\u003e12.2 Multiplicative Elasto-plasticity 407\u003c\/p\u003e \u003cp\u003e12.3 Multiplicative Elasto-plasticity \u003ci\u003eversus\u003c\/i\u003e Rate Formulations 411\u003c\/p\u003e \u003cp\u003e12.4 Integration of the Rate Equations 414\u003c\/p\u003e \u003cp\u003e12.5 Exponential Return-mapping Algorithms 418\u003c\/p\u003e \u003cp\u003eReferences 422\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART V ADVANCED DISCRETISATION CONCEPTS\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Interfaces and Discontinuities 427\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Interface Elements 428\u003c\/p\u003e \u003cp\u003e13.2 Discontinuous Galerkin Methods 436\u003c\/p\u003e \u003cp\u003eReferences 439\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Meshless and Partition-of-unity Methods 441\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Meshless Methods 442\u003c\/p\u003e \u003cp\u003e14.2 Partition-of-unity Approaches 451\u003c\/p\u003e \u003cp\u003eReferences 470\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Isogeometric Finite Element Analysis 473\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Basis Functions in Computer Aided Geometric Design 473\u003c\/p\u003e \u003cp\u003e15.2 Isogeometric Finite Elements 483\u003c\/p\u003e \u003cp\u003e15.3 PyFEM: Shape Functions for Isogeometric Analysis 487\u003c\/p\u003e \u003cp\u003e15.4 Isogeometric Analysis in Non-linear Solid Mechanics 490\u003c\/p\u003e \u003cp\u003eReferences 506\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex 509\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cstrong\u003eMike Crisfield (deceased), Imperial College, London; René de Borst, Joris Remmers \u0026amp; Clemens Verhoosel, TU Eindhoven, Netherlands\u003c\/strong\u003e \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eProfessor Mike Crisfield\u003c\/strong\u003e (deceased) joined the Transport \u0026amp; Road Research Laboratory (TRRL) in 1971, where he rose to the rank of Deputy Chief Scientific Officer. In 1989 he was appointed as first holder of the FEA Chair in Computational Mechanics in the aeronautics department at Imperial College, London, the department that had pioneered FEA in the 1950s and 1960s. Shortly before he died, a list of the most cited engineering researchers in the UK was published included Mike in the top 20, and he received an IACM Research Achievement Award in recognition of his extraordinary achievements in the field of non-linear computational mechanics. An eminent researcher and a scholar, he was reputed as an innovative thinker who adopted a 'hands-on' approach. \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eRené de Borst\u003c\/strong\u003e was appointed Dean and Distinguished University Professor of the Faculty of Mechanical Engineering of TU Eindhoven in May 2007 after a long tenure as Professor and deputy Dean at TU Delft. He is Editor for the International Journal for Numerical Methods in Engineering and International Journal for Numerical and Analytical Methods in Geomechanics and Editor for the Encyclopedia of Computational Mechanics. His many awards and the outstanding assessment of his work by the scientific community attest to his reputation as a world leading scientist and researcher within the field of computational mechanics. \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eJoris Remmers\u003c\/strong\u003e is an assistant professor within René de Borst's group at TU Eindhoven. \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eClemens Verhoosel\u003c\/strong\u003e is an assistant professor within René de Borst's group at TU Eindhoven.   \u003c\/p\u003e\u003cp\u003eBuilt upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield’s first edition is acclaimed. \u003c\/p\u003e \u003cp\u003eTogether with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. \u003c\/p\u003e \u003cp\u003eThe authors’ integrated and consistent style and unrivalled engineering approach assures this book’s unique position within the computational mechanics literature.\u003c\/p\u003e \u003cp\u003e Key features: \u003c\/p\u003e \u003cul\u003e \u003cli\u003eCombines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations\u003c\/li\u003e \u003cli\u003eExtensive new material on more recent developments in computational mechanics\u003c\/li\u003e \u003cli\u003eEasily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts.\u003c\/li\u003e \u003cli\u003ePseudo-code throughout makes the link between theory and algorithms, and the actual implementation.\u003c\/li\u003e \u003cli\u003eAccompanied by a website (www.wiley.com\/go\/deborst) with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems. \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eNon-linear Finite Element Analysis of Solids and Structures, 2nd\u003c\/i\u003e \u003ci\u003eEdition\u003c\/i\u003e is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989695512805,"sku":"NP9780470666449","price":126.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470666449.jpg?v=1761785137","url":"https:\/\/k12savings.com\/es\/products\/nonlinear-finite-element-analysis-of-solids-and-structures-isbn-9780470666449","provider":"K12savings","version":"1.0","type":"link"}