New anisotropic crack-tip enrichment functions for the extended finite element method

Content Provider	Semantic Scholar
Author	Hattori, Gabriel Saez, Andres
Copyright Year	2012
Abstract	In this paper, the extended finite element method (X-FEM) is implemented to analyze fracture mechanics problems in elastic materials that exhibit general anisotropy. In the X-FEM, crack modeling is addressed by adding discontinuous enrichment functions to the standard FE polynomial approximation within the framework of partition of unity. In particular, the crack interior is represented by the Heaviside function, whereas the crack-tip is modeled by the so-called cracktip enrichment functions. These functions have previously been obtained in the literature for isotropic, orthotropic, piezoelectric and magnetoelectroelastic materials. In the present work, the crack-tip functions are determined by means of the Stroh’s formalism for fully anisotropic materials, thus providing a new set of enrichment functions in a concise and compact form. The proposed formulation is validated by comparing the obtained results with other analytical and numerical solutions. Convergence rates for both topological and geometrical enrichments are presented. Performance of the newly derived enrichment functions is studied, and comparisons are made to the well-known classical cracktip functions for isotropic materials. G. Hattori · R. Rojas-Dı́az · A. Sáez Department of Continuum Mechanics, School of Engineering, University of Seville Camino de los Descubrimientos s/n, 41092, Seville, Spain E-mail: rrojasdiaz@us.es N. Sukumar Department of Civil and Environmental Department, One Shields Avenue, Davis, CA 95616. U.S.A. F. Garćıa-Sánchez Departamento de Ingenieŕıa Civil, de Materiales y Fabricación, E.T.S. de Ingenieros Industriales, Universidad de Málaga, Doctor Ortiz Ramos, 29071-Málaga, Spain
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://dilbert.engr.ucdavis.edu/~suku/xfem/papers/xfem-anisotropic.pdf
Language	English
Access Restriction	Open
Subject Keyword	Anisotropy Approximation Aspidosperma triternatum Camino Elmer FEM solver Email Extended finite element method Gene Ontology Term Enrichment Mechanics Numerical analysis Piezoelectricity Polynomial Semantics (computer science) Solutions Whole Earth 'Lectronic Link
Content Type	Text
Resource Type	Article