IUTAM Symposium on Discretization Methods for Evolving Discontinuities: Proceedings of the IUTAM Symposium held Lyon, France, 4 – 7 September, 2006

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Alain Combescure, René, de Borst, Ted Belytschko
Springer Science & Business Media, Apr 7, 2010 - Technology & Engineering - 436 pages
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In 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.

 

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Contents

Meshless discretisation of nonlocal damage theories
3
Threedimensional nonlinear fracture mechanics by enriched meshfree methods without asymptotic enrichment
21
Accounting for weak discontinuities and moving boundaries in the context of the Natural Element Method and model reduction techniques
37
Modeling Evolving Discontinuities with Spacetime Discontinuous Galerkin Methods
59
Analysis of a finite element formulation for modelling phase separation
88
Recent Developments in the Formulation of Finite Elements with Embedded Strong Discontinuities
105
Numerical Modeling by the Continuum Strong Discontinuity Approach CSDA
123
A 3D Cohesive Investigation on Branching for Brittle Materials
139
On the Application of Hansbos Method for Interface Problems
255
An optimal explicit time stepping scheme for cracks modeled with XFEM
266
Influence of Integration and Interface Law
283
An Evaluation of the Accuracy of Discontinuous Finite Elements in Explicit Dynamic Calculations
302
A discrete model for the propagation of discontinuities in a fluidsaturated medium
323
Single Domain Quadrature Techniques for Discontinuous and NonLinear Enrichments in Local Partion of Unity FEM
343
Numerical determination of crack stress and deformation fields in gradient elastic solids
363
numerical implementation and extensions
381

On Applications of XFEM to Dynamic Fracture and Dislocations
155
Some improvements of Xfem for cracked domains
171
2D XFEM Simulation of Dynamic Brittle Crack Propagation
185
A numerical framework to model 3D fracture in bone tissue with application to failure of the proximal femur
199
Application of XFEM to 3D Real Cracks and ElasticPlastic Fatigue Crack Growth
212
Accurate Simulation of Frictionless and Frictional Cohesive Crack Growth in QuasiBrittle Materials Using XFEM
233
Measurement and Identification Techniques for Evolving Discontinuities
395
the NPCL Method
413
Author Index
433
Subject Index
435
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