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OverviewIn recent years, discretization methods have been proposed which are more flexible and which have the potential of capturing (moving) discontinuities in a robust and efficient manner. This monograph assembles contributions of leading experts with the most recent developments in this rapidly evolving field. It provides the most comprehensive coverage of state-of-the art numerical methods for treating discontinuities in mechanics. Full Product DetailsAuthor: Alain Combescure , René, de Borst , Ted BelytschkoPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 2007 Volume: 5 Dimensions: Width: 16.00cm , Height: 2.30cm , Length: 24.00cm Weight: 0.785kg ISBN: 9789048176595ISBN 10: 904817659 Pages: 436 Publication Date: 29 January 2011 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsMeshless Finite Element Methods.- Meshless discretisation of nonlocal damage theories.- Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment.- Accounting for weak discontinuities and moving boundaries in the context of the Natural Element Method and model reduction techniques.- Discontinuous Galerkin Methods.- Modeling Evolving Discontinuities with Spacetime Discontinuous Galerkin Methods.- Analysis of a finite element formulation for modelling phase separation.- Finite Element Methods with Embedded Discontinuities.- Recent Developments in the Formulation of Finite Elements with Embedded Strong Discontinuities.- Evolving Material Discontinuities: Numerical Modeling by the Continuum Strong Discontinuity Approach (CSDA).- A 3D Cohesive Investigation on Branching for Brittle Materials.- Partition-of-Unity Based Finite Element Methods.- On Applications of XFEM to Dynamic Fracture and Dislocations.- Some improvements of Xfem for cracked domains.- 2D X-FEM Simulation of Dynamic Brittle Crack Propagation.- A numerical framework to model 3-D fracture in bone tissue with application to failure of the proximal femur.- Application of X-FEM to 3D Real Cracks and Elastic-Plastic Fatigue Crack Growth.- Accurate Simulation of Frictionless and Frictional Cohesive Crack Growth in Quasi-Brittle Materials Using XFEM.- On the Application of Hansbo’s Method for Interface Problems.- An optimal explicit time stepping scheme for cracks modeled with X-FEM.- Variational Extended Finite Element Model for Cohesive Cracks: Influence of Integration and Interface Law.- An Evaluation of the Accuracy of Discontinuous Finite Elements in Explicit Dynamic Calculations.- A discrete model for the propagation of discontinuities in a fluid-saturatedmedium.- Single Domain Quadrature Techniques for Discontinuous and Non-Linear Enrichments in Local Partion of Unity FEM.- Other Discretization Methods.- Numerical determination of crack stress and deformation fields in gradient elastic solids.- The variational formulation of brittle fracture: numerical implementation and extensions.- Measurement and Identification Techniques for Evolving Discontinuities.- Conservation under Incompatibility for Fluid-Solid-Interaction Problems: the NPCL Method.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |