Open AccessPrise en compte de discontinuités en espace et en temps par la méthode des éléments finis étendus
Author(s) -
Julien Réthoré,
Anthony Gravouil,
Alain Combescure
Publication year - 2007
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.292
H-Index - 26
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/remn.16.827-843
Subject(s) - classification of discontinuities , finite element method , partition of unity , mathematics , space (punctuation) , mathematical analysis , geometry , computer science , structural engineering , engineering , operating system
This paper is aimed at presenting an application of the extended finite element method to the time variable in the framework of dynamic crack propagation. We take advantage of the partition of the unity properties of finite elements and use an enriched basis of shape functions in space as well as time. To solve the problem in time, we use a weak formulation including a continuity condition for the velocity. It allows to model mechanical problems with space and time discontinuities. Applications to dynamic crack growth simulation are presented.