LEADER 05082nam 2200601 450 001 9910141916603321 005 20200520144314.0 010 $a1-118-86968-0 010 $a1-118-86969-9 010 $a1-118-86967-2 035 $a(CKB)2560000000326211 035 $a(EBL)1895688 035 $a(MiAaPQ)EBC1895688 035 $a(Au-PeEL)EBL1895688 035 $a(CaPaEBR)ebr11022758 035 $a(CaONFJC)MIL770046 035 $a(OCoLC)885026863 035 $a(EXLCZ)992560000000326211 100 $a20150304h20152015 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aExtended finite element method $etheory and applications /$fAmir R. Khoei 210 1$aChichester, England :$cWiley,$d2015. 210 4$dİ2015 215 $a1 online resource (602 p.) 225 1 $aWiley Series in Computational Mechanics 300 $aDescription based upon print version of record. 311 $a1-118-45768-4 320 $aIncludes bibliographical references and index. 327 $aTitle Page; Copyright; Contents; Series Preface; Preface; Chapter 1 Introduction; 1.1 Introduction; 1.2 An Enriched Finite Element Method; 1.3 A Review on X-FEM: Development and Applications; 1.3.1 CouplingX-FEM with the Level-Set Method; 1.3.2 Linear Elastic Fracture Mechanics (LEFM); 1.3.3 Cohesive Fracture Mechanics; 1.3.4 Composite Materials and Material In homogeneities; 1.3.5 Plasticity, Damage, and Fatigue Problems; 1.3.6 Shear Band Localization; 1.3.7 Fluid-Structure Interaction; 1.3.8 Fluid Flow in Fractured Porous Media; 1.3.9 Fluid Flow and Fluid Mechanics Problems 327 $a1.3.10 Phase Transition and Solidification 1.3.11 Thermal and Thermo-Mechanical Problems; 1.3.12 Plates and Shells; 1.3.13 Contact Problems; 1.3.14 Topology Optimization; 1.3.15 Piezoelectric and Magneto-Electroelastic Problems; 1.3.16 Multi-Scale Modeling; Chapter 2 Extended Finite Element Formulation; 2.1 Introduction; 2.2 The Partition of Unity Finite Element Method; 2.3 The Enrichment of Approximation Space; 2.3.1 Intrinsic Enrichment; 2.3.2 Extrinsic Enrichment; 2.4 The Basis of X-FEM Approximation; 2.4.1 The Signed Distance Function; 2.4.2 The Heaviside Function; 2.5 Blending Elements 327 $a2.6 Governing Equation of a Body with Discontinuity 2.6.1 The Divergence Theorem for Discontinuous Problems; 2.6.2 The Weak form of Governing Equation; 2.7 The X-FEM Discretization of Governing Equation; 2.7.1 Numerical Implementation of X-FEM Formulation; 2.7.2 Numerical Integration Algorithm; 2.8 Application of X-FEM in Weak and Strong Discontinuities; 2.8.1 Modeling an Elastic Bar with a Strong Discontinuity; 2.8.2 Modeling an Elastic Bar with a Weak Discontinuity; 2.8.3 Modeling an Elastic Plate with a Crack Interface at its Center 327 $a2.8.4 Modeling an Elastic Plate with a Material Interface at its Center 2.9 Higher Order X-FEM; 2.10 Implementation of X-FEM with Higher Order Elements; 2.10.1 Higher Order X-FEM Modeling of a Plate with a Material Interface; 2.10.2 Higher Order X-FEM Modeling of a Plate with a Curved Crack Interface; Chapter 3 Enrichment Elements; 3.1 Introduction; 3.2 Tracking Moving Boundaries; 3.3 Level Set Method; 3.3.1 Numerical Implementation of LSM; 3.3.2 Coupling the LSM with X-FEM; 3.4 Fast Marching Method; 3.4.1 Coupling the FMM with X-FEM; 3.5 X-FEM Enrichment Functions 327 $a3.5.1 Bimaterials, Voids, and Inclusions 3.5.2 Strong Discontinuities and Crack Interfaces; 3.5.3 Brittle Cracks; 3.5.4 Cohesive Cracks; 3.5.5 Plastic Fracture Mechanics; 3.5.6 Multiple Cracks; 3.5.7 Fracture in Bimaterial Problems; 3.5.8 Polycrystalline Microstructure; 3.5.9 Dislocations; 3.5.10 Shear Band Localization; Chapter 4 Blending Elements; 4.1 Introduction; 4.2 Convergence Analysis in the X-FEM; 4.3 Ill-Conditioning in theX-FEM Method; 4.3.1 One-Dimensional Problem with Material Interface; 4.4 Blending Strategies in X-FEM; 4.5 Enhanced Strain Method 327 $a4.5.1 An Enhanced Strain Blending Element for the Ramp Enrichment Function 330 $aIntroduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics. Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems. Accompanied by a website hosting source code and examples. 410 0$aWiley series in computational mechanics. 606 $aFinite element method 606 $aNumerical analysis 615 0$aFinite element method. 615 0$aNumerical analysis. 676 $a620.1/1260151825 700 $aKhoei$b Amir R.$0627403 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910141916603321 996 $aExtended finite element method$92190510 997 $aUNINA