{"product_id":"extended-finite-element-method-9781405170604","title":"Extended Finite Element Method","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eLikely to be the first textbook to be published on XFEM   Concise, without completeness being compromised   Emphasis on practical applications   Comprehensive numerical examples in each chapter.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eDedication\u003c\/i\u003e. \u003cp\u003e\u003ci\u003ePreface\u003c\/i\u003e .\u003c\/p\u003e \u003cp\u003e\u003ci\u003eNomenclature\u003c\/i\u003e .\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 Introduction\u003c\/b\u003e.\u003c\/p\u003e \u003cp\u003e1.1 ANALYSIS OF STRUCTURES.\u003c\/p\u003e \u003cp\u003e1.2 ANALYSIS OF DISCONTINUITIES.\u003c\/p\u003e \u003cp\u003e1.3 FRACTURE MECHANICS.\u003c\/p\u003e \u003cp\u003e1.4 CRACK MODELLING.\u003c\/p\u003e \u003cp\u003e1.4.1 Local and non-local models.\u003c\/p\u003e \u003cp\u003e1.4.2 Smeared crack model.\u003c\/p\u003e \u003cp\u003e1.4.3 Discrete inter-element crack.\u003c\/p\u003e \u003cp\u003e1.4.4 Discrete cracked element.\u003c\/p\u003e \u003cp\u003e1.4.5 Singular elements.\u003c\/p\u003e \u003cp\u003e1.4.6 Enriched elements.\u003c\/p\u003e \u003cp\u003e1.5 ALTERNATIVE TECHNIQUES.\u003c\/p\u003e \u003cp\u003e1.6 A REVIEW OF XFEM APPLICATIONS.\u003c\/p\u003e \u003cp\u003e1.6.1 General aspects of XFEM.\u003c\/p\u003e \u003cp\u003e1.6.2 Localisation and fracture.\u003c\/p\u003e \u003cp\u003e1.6.3 Composites.\u003c\/p\u003e \u003cp\u003e1.6.4 Contact.\u003c\/p\u003e \u003cp\u003e1.6.5 Dynamics.\u003c\/p\u003e \u003cp\u003e1.6.6 Large deformation\/shells.\u003c\/p\u003e \u003cp\u003e1.6.7 Multiscale.\u003c\/p\u003e \u003cp\u003e1.6.8 Multiphase\/solidification.\u003c\/p\u003e \u003cp\u003e1.7 SCOPE OF THE BOOK.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 Fracture Mechanics, a Review\u003c\/b\u003e.\u003c\/p\u003e \u003cp\u003e2.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e2.2 BASICS OF ELASTICITY.\u003c\/p\u003e \u003cp\u003e2.2.1 Stress–strain relations.\u003c\/p\u003e \u003cp\u003e2.2.2 Airy stress function.\u003c\/p\u003e \u003cp\u003e2.2.3 Complex stress functions.\u003c\/p\u003e \u003cp\u003e2.3 BASICS OF LEFM.\u003c\/p\u003e \u003cp\u003e2.3.1 Fracture mechanics.\u003c\/p\u003e \u003cp\u003e2.3.2 Circular hole.\u003c\/p\u003e \u003cp\u003e2.3.3 Elliptical hole.\u003c\/p\u003e \u003cp\u003e2.3.4 Westergaard analysis of a sharp crack.\u003c\/p\u003e \u003cp\u003e2.4 STRESS INTENSITY FACTOR, \u003ci\u003eK\u003c\/i\u003e .\u003c\/p\u003e \u003cp\u003e2.4.1 Definition of the stress intensity factor.\u003c\/p\u003e \u003cp\u003e2.4.2 Examples of stress intensity factors for LEFM.\u003c\/p\u003e \u003cp\u003e2.4.3 Griffith theories of strength and energy.\u003c\/p\u003e \u003cp\u003e2.4.4 Brittle material.\u003c\/p\u003e \u003cp\u003e2.4.5 Quasi-brittle material.\u003c\/p\u003e \u003cp\u003e2.4.6 Crack stability.\u003c\/p\u003e \u003cp\u003e2.4.7 Fixed grip versus fixed load.\u003c\/p\u003e \u003cp\u003e2.4.8 Mixed mode crack propagation.\u003c\/p\u003e \u003cp\u003e2.5 SOLUTION PROCEDURES FOR \u003ci\u003eK\u003c\/i\u003e AND \u003ci\u003eG\u003c\/i\u003e .\u003c\/p\u003e \u003cp\u003e2.5.1 Displacement extrapolation\/correlation method.\u003c\/p\u003e \u003cp\u003e2.5.2 Mode I energy release rate.\u003c\/p\u003e \u003cp\u003e2.5.3 Mode I stiffness derivative\/virtual crack model.\u003c\/p\u003e \u003cp\u003e2.5.4 Two virtual crack extensions for mixed mode cases.\u003c\/p\u003e \u003cp\u003e2.5.5 Single virtual crack extension based on displacement decomposition.\u003c\/p\u003e \u003cp\u003e2.5.6 Quarter point singular elements.\u003c\/p\u003e \u003cp\u003e2.6 ELASTOPLASTIC FRACTURE MECHANICS (EPFM).\u003c\/p\u003e \u003cp\u003e2.6.1 Plastic zone.\u003c\/p\u003e \u003cp\u003e2.6.2 Crack tip opening displacements (CTOD).\u003c\/p\u003e \u003cp\u003e2.6.3 \u003ci\u003eJ\u003c\/i\u003e integral.\u003c\/p\u003e \u003cp\u003e2.6.4 Plastic crack tip fields.\u003c\/p\u003e \u003cp\u003e2.6.5 Generalisation of \u003ci\u003eJ\u003c\/i\u003e .\u003c\/p\u003e \u003cp\u003e2.7 NUMERICAL METHODS BASED ON THE \u003ci\u003eJ\u003c\/i\u003e INTEGRAL.\u003c\/p\u003e \u003cp\u003e2.7.1 Nodal solution.\u003c\/p\u003e \u003cp\u003e2.7.2 General finite element solution.\u003c\/p\u003e \u003cp\u003e2.7.3 Equivalent domain integral (EDI) method.\u003c\/p\u003e \u003cp\u003e2.7.4 Interaction integral method.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Extended Finite Element Method for Isotropic Problems\u003c\/b\u003e.\u003c\/p\u003e \u003cp\u003e3.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e3.2 A REVIEW OF XFEM DEVELOPMENT.\u003c\/p\u003e \u003cp\u003e3.3 BASICS OF FEM.\u003c\/p\u003e \u003cp\u003e3.3.1 Isoparametric finite elements, a short review.\u003c\/p\u003e \u003cp\u003e3.3.2 Finite element solutions for fracture mechanics.\u003c\/p\u003e \u003cp\u003e3.4 PARTITION OF UNITY.\u003c\/p\u003e \u003cp\u003e3.5 ENRICHMENT.\u003c\/p\u003e \u003cp\u003e3.5.1 Intrinsic enrichment.\u003c\/p\u003e \u003cp\u003e3.5.2 Extrinsic enrichment.\u003c\/p\u003e \u003cp\u003e3.5.3 Partition of unity finite element method.\u003c\/p\u003e \u003cp\u003e3.5.4 Generalised finite element method.\u003c\/p\u003e \u003cp\u003e3.5.5 Extended finite element method.\u003c\/p\u003e \u003cp\u003e3.5.6 Hp-clouds enrichment.\u003c\/p\u003e \u003cp\u003e3.5.7 Generalisation of the PU enrichment.\u003c\/p\u003e \u003cp\u003e3.5.8 Transition from standard to enriched approximation.\u003c\/p\u003e \u003cp\u003e3.6 ISOTROPIC XFEM.\u003c\/p\u003e \u003cp\u003e3.6.1 Basic XFEM approximation.\u003c\/p\u003e \u003cp\u003e3.6.2 Signed distance function.\u003c\/p\u003e \u003cp\u003e3.6.3 Modelling strong discontinuous fields.\u003c\/p\u003e \u003cp\u003e3.6.4 Modelling weak discontinuous fields.\u003c\/p\u003e \u003cp\u003e3.6.5 Plastic enrichment.\u003c\/p\u003e \u003cp\u003e3.6.6 Selection of nodes for discontinuity enrichment.\u003c\/p\u003e \u003cp\u003e3.6.7 Modelling the crack.\u003c\/p\u003e \u003cp\u003e3.7 DISCRETIZATION AND INTEGRATION.\u003c\/p\u003e \u003cp\u003e3.7.1 Governing equation.\u003c\/p\u003e \u003cp\u003e3.7.2 XFEM discretization.\u003c\/p\u003e \u003cp\u003e3.7.3 Element partitioning and numerical integration.\u003c\/p\u003e \u003cp\u003e3.7.4 Crack intersection.\u003c\/p\u003e \u003cp\u003e3.8 TRACKING MOVING BOUNDARIES.\u003c\/p\u003e \u003cp\u003e3.8.1 Level set method.\u003c\/p\u003e \u003cp\u003e3.8.2 Fast marching method.\u003c\/p\u003e \u003cp\u003e3.8.3 Ordered upwind method.\u003c\/p\u003e \u003cp\u003e3.9 NUMERICAL SIMULATIONS.\u003c\/p\u003e \u003cp\u003e3.9.1 A tensile plate with a central crack.\u003c\/p\u003e \u003cp\u003e3.9.2 Double edge cracks.\u003c\/p\u003e \u003cp\u003e3.9.3 Double internal collinear cracks.\u003c\/p\u003e \u003cp\u003e3.9.4 A central crack in an infinite plate.\u003c\/p\u003e \u003cp\u003e3.9.5 An edge crack in a finite plate.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 XFEM for Orthotropic Problems\u003c\/b\u003e.\u003c\/p\u003e \u003cp\u003e4.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e4.2 ANISOTROPIC ELASTICITY.\u003c\/p\u003e \u003cp\u003e4.2.1 Elasticity solution.\u003c\/p\u003e \u003cp\u003e4.2.2 Anisotropic stress functions.\u003c\/p\u003e \u003cp\u003e4.2.3 Orthotropic mixed mode problems.\u003c\/p\u003e \u003cp\u003e4.2.4 Energy release rate and stress intensity factor for anisotropic.\u003c\/p\u003e \u003cp\u003ematerials.\u003c\/p\u003e \u003cp\u003e4.2.5 Anisotropic singular elements.\u003c\/p\u003e \u003cp\u003e4.3 ANALYTICAL SOLUTIONS FOR NEAR CRACK TIP.\u003c\/p\u003e \u003cp\u003e4.3.1 Near crack tip displacement field (class I).\u003c\/p\u003e \u003cp\u003e4.3.2 Near crack tip displacement field (class II).\u003c\/p\u003e \u003cp\u003e4.3.3 Unified near crack tip displacement field (both classes).\u003c\/p\u003e \u003cp\u003e4.4 ANISOTROPIC XFEM.\u003c\/p\u003e \u003cp\u003e4.4.1 Governing equation.\u003c\/p\u003e \u003cp\u003e4.4.2 XFEM discretization.\u003c\/p\u003e \u003cp\u003e4.4.3 SIF calculations.\u003c\/p\u003e \u003cp\u003e4.5 NUMERICAL SIMULATIONS.\u003c\/p\u003e \u003cp\u003e4.5.1 Plate with a crack parallel to material axis of orthotropy.\u003c\/p\u003e \u003cp\u003e4.5.2 Edge crack with several orientations of the axes of orthotropy.\u003c\/p\u003e \u003cp\u003e4.5.3 Single edge notched tensile specimen with crack inclination.\u003c\/p\u003e \u003cp\u003e4.5.4 Central slanted crack.\u003c\/p\u003e \u003cp\u003e4.5.5 An inclined centre crack in a disk subjected to point loads.\u003c\/p\u003e \u003cp\u003e4.5.6 A crack between orthotropic and isotropic materials subjected to.\u003c\/p\u003e \u003cp\u003etensile tractions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 XFEM for Cohesive Cracks\u003c\/b\u003e.\u003c\/p\u003e \u003cp\u003e5.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e5.2 COHESIVE CRACKS.\u003c\/p\u003e \u003cp\u003e5.2.1 Cohesive crack models.\u003c\/p\u003e \u003cp\u003e5.2.2 Numerical models for cohesive cracks.\u003c\/p\u003e \u003cp\u003e5.2.3 Crack propagation criteria.\u003c\/p\u003e \u003cp\u003e5.2.4 Snap-back behaviour.\u003c\/p\u003e \u003cp\u003e5.2.5 Griffith criterion for cohesive crack.\u003c\/p\u003e \u003cp\u003e5.2.6 Cohesive crack model.\u003c\/p\u003e \u003cp\u003e5.3 XFEM FOR COHESIVE CRACKS.\u003c\/p\u003e \u003cp\u003e5.3.1 Enrichment functions.\u003c\/p\u003e \u003cp\u003e5.3.2 Governing equations.\u003c\/p\u003e \u003cp\u003e5.3.3 XFEM discretization.\u003c\/p\u003e \u003cp\u003e5.4 NUMERICAL SIMULATIONS.\u003c\/p\u003e \u003cp\u003e5.4.1 Mixed mode bending beam.\u003c\/p\u003e \u003cp\u003e5.4.2 Four point bending beam.\u003c\/p\u003e \u003cp\u003e5.4.3 Double cantilever beam.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 New Frontiers\u003c\/b\u003e.\u003c\/p\u003e \u003cp\u003e6.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e6.2 INTERFACE CRACKS.\u003c\/p\u003e \u003cp\u003e6.2.1 Elasticity solution for isotropic bimaterial interface.\u003c\/p\u003e \u003cp\u003e6.2.2 Stability of interface cracks.\u003c\/p\u003e \u003cp\u003e6.2.3 XFEM approximation for interface cracks.\u003c\/p\u003e \u003cp\u003e6.3 CONTACT.\u003c\/p\u003e \u003cp\u003e6.3.1 Numerical models for a contact problem.\u003c\/p\u003e \u003cp\u003e6.3.2 XFEM modelling of a contact problem.\u003c\/p\u003e \u003cp\u003e6.4 DYNAMIC FRACTURE.\u003c\/p\u003e \u003cp\u003e6.4.1 Dynamic crack propagation by XFEM.\u003c\/p\u003e \u003cp\u003e6.4.2 Dynamic LEFM.\u003c\/p\u003e \u003cp\u003e6.4.3 Dynamic orthotropic LEFM.\u003c\/p\u003e \u003cp\u003e6.4.4 Basic formulation of dynamic XFEM.\u003c\/p\u003e \u003cp\u003e6.4.5 XFEM discretization.\u003c\/p\u003e \u003cp\u003e6.4.6 Time integration.\u003c\/p\u003e \u003cp\u003e6.4.7 Time finite element method.\u003c\/p\u003e \u003cp\u003e6.4.8 Time extended finite element method.\u003c\/p\u003e \u003cp\u003e6.5 MULTISCALE XFEM.\u003c\/p\u003e \u003cp\u003e6.5.1 Basic formulation.\u003c\/p\u003e \u003cp\u003e6.5.2 The zoom technique.\u003c\/p\u003e \u003cp\u003e6.5.3 Homogenisation based techniques.\u003c\/p\u003e \u003cp\u003e6.5.4 XFEM discretization.\u003c\/p\u003e \u003cp\u003e6.6 MULTIPHASE XFEM.\u003c\/p\u003e \u003cp\u003e6.6.1 Basic formulation.\u003c\/p\u003e \u003cp\u003e6.6.2 XFEM approximation.\u003c\/p\u003e \u003cp\u003e6.6.3 Two-phase fluid flow.\u003c\/p\u003e \u003cp\u003e6.6.4 XFEM approximation.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 XFEM Flow\u003c\/b\u003e.\u003c\/p\u003e \u003cp\u003e7.1 INTRODUCTION.\u003c\/p\u003e \u003cp\u003e7.2 AVAILABLE OPEN-SOURCE XFEM.\u003c\/p\u003e \u003cp\u003e7.3. FINITE ELEMENT ANALYSIS.\u003c\/p\u003e \u003cp\u003e7.3.1 Defining the model.\u003c\/p\u003e \u003cp\u003e7.3.2 Creating the finite element mesh.\u003c\/p\u003e \u003cp\u003e7.3.3 Linear elastic analysis.\u003c\/p\u003e \u003cp\u003e7.3.4 Large deformation.\u003c\/p\u003e \u003cp\u003e7.3.5 Nonlinear (elastoplastic) analysis.\u003c\/p\u003e \u003cp\u003e7.3.6 Material constitutive matrix.\u003c\/p\u003e \u003cp\u003e7.4 XFEM.\u003c\/p\u003e \u003cp\u003e7.4.1 Front tracking.\u003c\/p\u003e \u003cp\u003e7.4.2 Enrichment detection.\u003c\/p\u003e \u003cp\u003e7.4.3 Enrichment functions.\u003c\/p\u003e \u003cp\u003e7.4.4 Ramp (transition) functions.\u003c\/p\u003e \u003cp\u003e7.4.5 Evaluation of the B matrix.\u003c\/p\u003e \u003cp\u003e7.5 NUMERICAL INTEGRATION.\u003c\/p\u003e \u003cp\u003e7.5.1 Sub-quads.\u003c\/p\u003e \u003cp\u003e7.5.2 Sub-triangles.\u003c\/p\u003e \u003cp\u003e7.6 SOLVER.\u003c\/p\u003e \u003cp\u003e7.6.1 XFEM degrees of freedom.\u003c\/p\u003e \u003cp\u003e7.6.2 Time integration.\u003c\/p\u003e \u003cp\u003e7.6.3 Simultaneous equations solver.\u003c\/p\u003e \u003cp\u003e7.6.4 Crack length control.\u003c\/p\u003e \u003cp\u003e7.7 POST-PROCESSING.\u003c\/p\u003e \u003cp\u003e7.7.1 Stress intensity factor.\u003c\/p\u003e \u003cp\u003e7.7.2 Crack growth.\u003c\/p\u003e \u003cp\u003e7.7.3 Other applications.\u003c\/p\u003e \u003cp\u003e7.8 CONFIGURATION UPDATE.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eReferences\u003c\/i\u003e .\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIndex\u003c\/i\u003e\u003c\/p\u003e","brand":"John Wiley and Sons Ltd","offers":[{"title":"Default Title","offer_id":49407903531351,"sku":"9781405170604","price":95.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781405170604.jpg?v=1730500908","url":"https:\/\/bookcurl.com\/products\/extended-finite-element-method-9781405170604","provider":"Book Curl","version":"1.0","type":"link"}