Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method
Generalized or extended finite element method (G/XFEM) models the crack by enriching functions of partition of unity type with discontinuous functions that represent well the physical behavior of the problem. However, this enrichment functions are not available for all problem types. Thus, one can u...
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| Vydáno v: | Computational mechanics Ročník 62; číslo 4; s. 783 - 801 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Springer Berlin Heidelberg
01.10.2018
Springer Nature B.V |
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| ISSN: | 0178-7675, 1432-0924 |
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| Abstract | Generalized or extended finite element method (G/XFEM) models the crack by enriching functions of partition of unity type with discontinuous functions that represent well the physical behavior of the problem. However, this enrichment functions are not available for all problem types. Thus, one can use numerically-built (global-local) enrichment functions to have a better approximate procedure. This paper investigates the effects of micro-defects/inhomogeneities on a main crack behavior by modeling the micro-defects/inhomogeneities in the local problem using a two-scale G/XFEM. The global-local enrichment functions are influenced by the micro-defects/inhomogeneities from the local problem and thus change the approximate solution of the global problem with the main crack. This approach is presented in detail by solving three different linear elastic fracture mechanics problems for different cases: two plane stress and a Reissner–Mindlin plate problems. The numerical results obtained with the two-scale G/XFEM are compared with the reference solutions from the analytical, numerical solution using standard G/XFEM method and ABAQUS as well, and from the literature. |
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| AbstractList | Generalized or extended finite element method (G/XFEM) models the crack by enriching functions of partition of unity type with discontinuous functions that represent well the physical behavior of the problem. However, this enrichment functions are not available for all problem types. Thus, one can use numerically-built (global-local) enrichment functions to have a better approximate procedure. This paper investigates the effects of micro-defects/inhomogeneities on a main crack behavior by modeling the micro-defects/inhomogeneities in the local problem using a two-scale G/XFEM. The global-local enrichment functions are influenced by the micro-defects/inhomogeneities from the local problem and thus change the approximate solution of the global problem with the main crack. This approach is presented in detail by solving three different linear elastic fracture mechanics problems for different cases: two plane stress and a Reissner–Mindlin plate problems. The numerical results obtained with the two-scale G/XFEM are compared with the reference solutions from the analytical, numerical solution using standard G/XFEM method and ABAQUS as well, and from the literature. |
| Author | Barros, Felício B. Malekan, Mohammad |
| Author_xml | – sequence: 1 givenname: Mohammad surname: Malekan fullname: Malekan, Mohammad email: mmalekan1986@gmail.com, malekan@dees.ufmg.br organization: Graduate Program in Structural Engineering (PROPEEs), School of Engineering, Federal University of Minas Gerais (UFMG) – sequence: 2 givenname: Felício B. surname: Barros fullname: Barros, Felício B. organization: Graduate Program in Structural Engineering (PROPEEs), School of Engineering, Federal University of Minas Gerais (UFMG) |
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| Keywords | Micro-defects Fracture mechanics Stress intensity factor Generalized/extended FEM Two-scale analysis |
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| Title | Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method |
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