05082nam 2200601 450 991081453210332120200520144314.01-118-86968-01-118-86969-91-118-86967-2(CKB)2560000000326211(EBL)1895688(MiAaPQ)EBC1895688(Au-PeEL)EBL1895688(CaPaEBR)ebr11022758(CaONFJC)MIL770046(OCoLC)885026863(EXLCZ)99256000000032621120150304h20152015 uy 0engurcnu||||||||rdacontentrdamediardacarrierExtended finite element method theory and applications /Amir R. KhoeiChichester, England :Wiley,2015.©20151 online resource (602 p.)Wiley Series in Computational MechanicsDescription based upon print version of record.1-118-45768-4 Includes bibliographical references and index.Title 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 Problems1.3.10 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 Elements2.6 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 Center2.8.4 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 Functions3.5.1 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 Method4.5.1 An Enhanced Strain Blending Element for the Ramp Enrichment FunctionIntroduces 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.Wiley series in computational mechanics.Finite element methodNumerical analysisFinite element method.Numerical analysis.620.1/1260151825Khoei Amir R.627403MiAaPQMiAaPQMiAaPQBOOK9910814532103321Extended finite element method3947077UNINA