Element-free Galerkin method for wave propagation and dynamic fracture

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dc.contributor.author Belytschko, T.
dc.contributor.author Lu, Y.Y.
dc.contributor.author Tabbara, Mazen
dc.date.accessioned 2016-02-10T08:03:41Z
dc.date.available 2016-02-10T08:03:41Z
dc.date.copyright 1995
dc.date.issued 2016-02-10
dc.identifier.issn 0045-7825 en_US
dc.identifier.uri http://hdl.handle.net/10725/3029
dc.description.abstract Element-free Galerkin method (EFG) is extended to dynamic problems. EFG method, which is based on moving least square interpolants (MLS), requires only nodal data; no element connectivity is needed. This makes the method particularly attractive for moving dynamic crack problems, since remeshing can be avoided. In contrast to the earlier formulation for static problems by authors, the weak form of kinematic boundary conditions for dynamic problems is introduced in the implementation to enforce the kinematic boundary conditions. With this formulation, the stiffness matrix is symmetric and positive semi-definite, and hence the consistency, conergence and stability analyses of time integration remain the same as those in finite element method. Numerical examples are presented to illustrate the performance of this method. The relationship between the element-free Galerkin method and the smooth particle hydrodynamics (SPH) method is also discussed in this paper. Results are presented for some one-dimensional problems and two-dimensional problems with static and moving cracks. en_US
dc.title Element-free Galerkin method for wave propagation and dynamic fracture en_US
dc.type Article en_US
dc.description.version N/A en_US
dc.author.school SOE en_US
dc.author.idnumber 199890270 en_US
dc.author.woa N/A en_US
dc.author.department Civil Engineering en_US
dc.description.embargo N/A en_US
dc.relation.journal Computer Methods in Applied Mechanics and Engineering en_US
dc.journal.volume 126 en_US
dc.journal.issue 1-2 en_US
dc.article.pages 131-153 en_US
dc.identifier.doi http://dx.doi.org/10.1016/0045-7825(95)00804-A en_US
dc.identifier.ctation Lu, Y. Y., Belytschko, T., & Tabbara, M. (1995). Element-free Galerkin method for wave propagation and dynamic fracture. Computer Methods in Applied Mechanics and Engineering, 126(1), 131-153. en_US
dc.author.email mtabbara@lau.edu.lb
dc.identifier.url http://www.sciencedirect.com/science/article/pii/004578259500804A

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