Material force method within the framework of the X-FEM-distribution of nodal material forces

• Published in: Proceedings in applied mathematics and mechanics Vol. 7; no. 1; pp. 4030017 - 4030018
• Main Authors: Glaser, J., Steinmann, P.
• Format: Journal Article
• Language: English
• Published: Berlin WILEY-VCH Verlag 01.12.2007; WILEY‐VCH Verlag
• ISSN: 1617-7061; 1617-7061
• DOI: 10.1002/pamm.200700614

The Material Force Method (MFM) and the Extended Finite Element Method (X‐FEM), both have been major subjects of computational fracture mechanics in recent time. Thus combining the advantages of both concepts [1, 2] seems a promising approach to describe the behaviour of discontinuities such as cracks in otherwise continuous bodies. As the X‐FEM models a crack independently of the mesh, the crack tip is in general not located at a node which is why a central question is, which nodal material forces do contribute to the resulting material force vector at the crack tip. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)