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

ISBN-13: 9789048176595 / Angielski / Miękka / 2011 / 448 str.

Alain Combescure; Rene De Borst; Ted Belytschko

Opis

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.

Spis treści

Preface; Meshless Finite Element Methods: Meshless discretisation of nonlocal damage theories, by H. Askes, T. Bennett and S. Kulasegaram; Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment, by S. Bordas, C. Zi and T. Rabczuk; Accounting for weak discontinuities and moving boundaries in the context of the Natural Element Method and model reduction techniques, by F. Chinesta, F. Cueto, P. Joyot and P. Villon; Discontinuous Galerkin Methods: Modeling evolving discontinuities with spacetime discontinuous Galerkin methods, by R. Abedi, S.-H. Chung, M.A. Hawker, J. Palaniappan and R.B. Haber; Analysis of a finite element formulation for modelling phase separation G.N. Wells and K. Garikipati; Finite Element Methods with Embedded Discontinuities: Recent developments in the formulation of finite elements with embedded strong discontinuities, by F. Armero and C. Linder; Evolving material discontinuities: Numerical modeling by the Continuum Strong Discontinuity Approach (CSDA), by J. Oliver, A.E. Huespe, S. Blanco and D.L. Linero; A 3D cohesive investigation on branching for brittle materials, by R.C. Yu, A. Pandolfi and M. Ortiz; Partition-of-Unity Based Finite Element Methods: On applications of XFEM to dynamic fracture and dislocations, by T. Belytschko, J.-H. Song, H. Wang and R. Gracie; Some improvements of XFEM for cracked domains, by E. Chahine, P. Laborde, J. Pommier, Y. Renard and M. Salaün; 2D X-FEM simulation of dynamic brittle crack propagation, by A. Combescure, A. Gravouil, H. Maigre, J. Réthoré and D. Gregoire; A numerical framework to model 3-D fracture in bone tissue with application to failure of the proximal femur, by T.C. Gasser and G.A. Holzapfel; Application of X-FEM to 3D real cracks and elastic-plastic fatigue crack growth, by A. Gravouil, A. Combescure, T. Elguedj, E. Ferrié, J.-Y. Buffière and W. Ludwig; Accurate simulation offrictionless and frictional cohesive crack growth in quasi-brittle materials using XFEM B.L. Karihaloo and Q.Z. Xiao; On the application of Hansbo’s method for interface problems, by B. Kuhi, Ph. Jãger, J. Mergheim and P. Steinmann; An optimal explicit time stepping scheme for cracks modeled with X-FEM, by T. Menouillard, N. Moës and A. Combescure; Variational Extended Finite Element Model for cohesive cracks: Influence of integration and interface law, by G. Meschke, P. Dumstorff and W. Fleming; An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations, by J.J. C. Remmers, R. de Borst, A. Needleman; A discrete model for the propagation of discontinuities in a fluid-saturated medium, by J. Réthoré, R. de Borst and M.-A. Abellan; Single domain quadrature techniques for discontinuous and non-linear enrichments in local Partition of Unity FEM, by G. Ventura; Other Discretization Methods: Numerical determination of crack stress and deformation fields in gradient elastic solids, by G.F. Karlis, S.V. Tsinopoulos, D. Polyzos and Th.E. Beskos; The variational formulation of brittle fracture: Numerical implementation and extensions, by B. Bourdin; Measurement and identification techniques for evolving discontinuities, by F. Hild, J. Réthoré and S. Roux; Conservation under incompatibility for fluid-solid-interaction problems: The NPCL method, by E.H. van Brummelen and R. de Borst; Author Index; Subject Index.

O autorze

René de Borst ist Inhaber des Lehrstuhls für Bauingenieurwesen und Mechanik der Universität Glasgow, Großbritannien. Zuvor war er Professor an den Universitäten Delft und Eindhoven, Niederlande. Seine Schwerpunkte in Forschung und Lehre liegen auf der Bruchmechanik, Reibung und der numerische Modellierung in der Mechanik.