LEADER 05375nam 2200649Ia 450 001 9910144525003321 005 20170814180933.0 010 $a1-282-37946-1 010 $a9786612379468 010 $a0-470-69779-2 010 $a0-470-69799-7 035 $a(CKB)1000000000687331 035 $a(EBL)470652 035 $a(OCoLC)648759902 035 $a(SSID)ssj0000354189 035 $a(PQKBManifestationID)11251806 035 $a(PQKBTitleCode)TC0000354189 035 $a(PQKBWorkID)10313198 035 $a(PQKB)11131283 035 $a(MiAaPQ)EBC470652 035 $a(EXLCZ)991000000000687331 100 $a20070503d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aExtended finite element method for fracture analysis of structures$b[electronic resource] /$fSoheil Mohammadi 210 $aMalden, MA $cBlackwell Pub.$dc2008 215 $a1 online resource (282 p.) 300 $aDescription based upon print version of record. 311 $a1-4051-7060-3 320 $aIncludes bibliographical references and index. 327 $aEXTENDED FINITE ELEMENT METHOD; Contents; 2.5 SOLUTION PROCEDURES FOR K AND G; Dedication; Preface; Nomenclature; Chapter 1 Introduction; 1.1 ANALYSIS OF STRUCTURES; 1.2 ANALYSIS OF DISCONTINUITIES; 1.3 FRACTURE MECHANICS; 1.4 CRACK MODELLING; 1.4.1 Local and non-local models; 1.4.2 Smeared crack model; 1.4.3 Discrete inter-element crack; 1.4.4 Discrete cracked element; 1.4.5 Singular elements; 1.4.6 Enriched elements; 1.5 ALTERNATIVE TECHNIQUES; 1.6 A REVIEW OF XFEM APPLICATIONS; 1.6.1 General aspects of XFEM; 1.6.2 Localisation and fracture; 1.6.3 Composites; 1.6.4 Contact; 1.6.5 Dynamics 327 $a1.6.6 Large deformation/shells1.6.7 Multiscale; 1.6.8 Multiphase/solidification; 1.7 SCOPE OF THE BOOK; Chapter 2 Fracture Mechanics,a Review; 2.1 INTRODUCTION; 2.2 BASICS OF ELASTICITY; 2.2.1 Stress -strain relations; 2.2.2 Airy stress function; 2.2.3 Complex stress functions; 2.3 BASICS OF LEFM; 2.3.1 Fracture mechanics; 2.3.2 Circular hole; 2.3.3 Elliptical hole; 2.3.4 Westergaard analysis of a sharp crack; 2.4 STRESS INTENSITY FACTOR, K; 2.4.1 Definition of the stress intensity factor; 2.4.2 Examples of stress intensity factors for LEFM; 2.4.3 Griffith theories of strength and energy 327 $a2.4.4 Brittle material2.4.5 Quasi-brittle material; 2.4.6 Crack stability; 2.4.7 Fixed grip versus fixed load; 2.4.8 Mixed mode crack propagation; 2.5.1 Displacement extrapolation/correlation method; 2.5.2 Mode I energy release rate; 2.5.3 Mode I stiffness derivative/virtual crack model; 2.5.4 Two virtual crack extensions for mixed mode cases; 2.5.5 Single virtual crack extension based on displacement decomposition; 2.5.6 Quarter point singular elements; 2.6 ELASTOPLASTIC FRACTURE MECHANICS (EPFM); 2.6.1 Plastic zone; 2.6.2 Crack tip opening displacements (CTOD); 2.6.3 J integral 327 $a2.6.4 Plastic crack tip fields2.6.5 Generalisation of J; 2.7 NUMERICAL METHODS BASED ON THE J INTEGRAL; 2.7.1 Nodal solution; 2.7.2 General finite element solution; 2.7.3 Equivalent domain integral (EDI)method; 2.7.4 Interaction integral method; Chapter 3 Extended Finite Element Method for Isotropic Problems; 3.1 INTRODUCTION; 3.2 A REVIEW OF XFEM DEVELOPMENT; 3.3 BASICS OF FEM; 3.3.1 Isoparametric finite elements, a short review; 3.3.2 Finite element solutions for fracture mechanics; 3.4 PARTITION OF UNITY; 3.5 ENRICHMENT; 3.5.1 Intrinsic enrichment; 3.5.2 Extrinsic enrichment 327 $a3.5.3 Partition of unity finite element method3.5.4 Generalised finite element method; 3.5.5 Extended finite element method; 3.5.6 Hp-clouds enrichment; 3.5.7 Generalisation of the PU enrichment; 3.5.8 Transition from standard to enriched approximation; 3.6 ISOTROPIC XFEM; 3.6.1 Basic XFEM approximation; 3.6.2 Signed distance function; 3.6.3 Modelling strong discontinuous fields; 3.6.4 Modelling weak discontinuous fields; 3.6.5 Plastic enrichment; 3.6.6 Selection of nodes for discontinuity enrichment; 3.6.7 Modelling the crack; 3.7 DISCRETIZATION AND INTEGRATION; 3.7.1 Governing equation 327 $a3.7.2 XFEM discretization 330 $aThis important textbook provides an introduction to the concepts of the newly developed extended finite element method (XFEM) for fracture analysis of structures, as well as for other related engineering applications.One of the main advantages of the method is that it avoids any need for remeshing or geometric crack modelling in numerical simulation, while generating discontinuous fields along a crack and around its tip. The second major advantage of the method is that by a small increase in number of degrees of freedom, far more accurate solutions can be obtained. The method has recen 606 $aFracture mechanics 606 $aFinite element method 608 $aElectronic books. 615 0$aFracture mechanics. 615 0$aFinite element method. 676 $a518.25 676 $a624.1/76 686 $aBAU 154f$2stub 686 $aUF 3150$2rvk 700 $aMohammadi$b S$g(Soheil)$0475363 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144525003321 996 $aExtended finite element method for fracture analysis of structures$9247276 997 $aUNINA LEADER 03308nam 22007095 450 001 9910983367303321 005 20251116222326.0 010 $a9783031728020 010 $a3031728025 024 7 $a10.1007/978-3-031-72802-0 035 $a(MiAaPQ)EBC31915792 035 $a(Au-PeEL)EBL31915792 035 $a(CKB)37694020700041 035 $a(DE-He213)978-3-031-72802-0 035 $a(OCoLC)1503845127 035 $a(EXLCZ)9937694020700041 100 $a20250223d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNovel Group Theoretical Methods for Electron Structure Theory /$fby Victor G. Yarzhemsky 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (498 pages) 225 0 $aPhysics and Astronomy Series 311 08$a9783031728013 311 08$a3031728017 327 $aPoint Groups and Wavefunctions in Molecules -- Magnetic Groups and Their Applications -- Induced Representations Method in the Theory of Electron Structure -- Cooper Pairs as Two-electron States in Crystals. 330 $aThis book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics. After introducing the key concepts in group theory and representation theory necessary to understate the technique, the author goes on to explore applications in electron structure theory, namely: basis sets in clusters, normal vibrations, selection rules, two-electron wavefunctions, and space-group representations. This technique allows the simplification of standard techniques for the analysis of molecular orbitals and normal vibrations of molecules. A space group approach to the wavefunction of a Cooper pair based on the Anderson ansatz and Mackey-Bradley theorem is developed, and several applications are considered, namely group-theoretical nodes, non-symmorphic groups, and unification of the group theoretical and topological approaches to the structure of Cooper pairs in unconventional superconductors. 606 $aCondensed matter 606 $aTopological insulators 606 $aSuperconductors$xChemistry 606 $aGroup theory 606 $aQuantum chemistry 606 $aCondensed Matter Physics 606 $aTopological Material 606 $aStrongly Correlated Systems 606 $aSuperconductors 606 $aGroup Theory and Generalizations 606 $aQuantum Chemistry 615 0$aCondensed matter. 615 0$aTopological insulators. 615 0$aSuperconductors$xChemistry. 615 0$aGroup theory. 615 0$aQuantum chemistry. 615 14$aCondensed Matter Physics. 615 24$aTopological Material. 615 24$aStrongly Correlated Systems. 615 24$aSuperconductors. 615 24$aGroup Theory and Generalizations. 615 24$aQuantum Chemistry. 676 $a530.41 700 $aYarzhemsky$b Victor$01801861 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910983367303321 996 $aNovel Group Theoretical Methods for Electron Structure Theory$94347263 997 $aUNINA