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General Consistency of Strong Discontinuity Kinematics in Embedded Finite Element Method (E-FEM) Formulations

Abstract : This paper performs an in-depth study of the theoretical basis behind the strong discontinuity methods to improve local fracture simulations using the Embedded Finite Element Method (E-FEM). The process starts from a review of the elemental enhancement functions found in current E-FEM literature, providing the reader a solid context of E-FEM fundamentals. A set of theoretical pathologies is then discussed, which prevent current frameworks from attaining full kinematic consistency and introduce unintended mesh dependencies. Based on this analysis, a new proposal of strong discontinuity enhancement functions is presented considering generalised fracture kinematics in a full tridimensional setting and a more robust definition of internal auxiliary functions. Element-level simulations are performed to compare the outputs within a group of selected E-FEM approaches, including the novel proposal. Simulations show that the new element formulation grants a wider level of basic kinematic coherence between the local fracture outputs and element kinematics, demonstrating an increase in robustness that might drive the usefulness of E-FEM techniques for fracture simulations to a higher level.
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https://hal.archives-ouvertes.fr/hal-03358254
Contributor : Emmanuel Roubin Connect in order to contact the contributor
Submitted on : Wednesday, September 29, 2021 - 11:37:53 AM
Last modification on : Tuesday, October 19, 2021 - 11:26:47 AM

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Alejandro Ortega Ortega Laborin, Emmanuel Roubin, Yann Malecot, Laurent Daudeville. General Consistency of Strong Discontinuity Kinematics in Embedded Finite Element Method (E-FEM) Formulations. Materials, MDPI, 2021, 14 (19), pp.5640. ⟨10.3390/ma14195640⟩. ⟨hal-03358254⟩

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