Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation
This paper investigates the variational finite element formulation and its numerical implementation of the damage evolution in solids, using a new discrete embedded discontinuity approach. For this purpose, the kinematically optimal symmetric (KOS) formulation, which guarantees kinematics, is consis...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/7125451 |
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| _version_ | 1832566348553650176 |
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| author | J. Retama A. G. Ayala |
| author_facet | J. Retama A. G. Ayala |
| author_sort | J. Retama |
| collection | DOAJ |
| description | This paper investigates the variational finite element formulation and its numerical implementation of the damage evolution in solids, using a new discrete embedded discontinuity approach. For this purpose, the kinematically optimal symmetric (KOS) formulation, which guarantees kinematics, is consistently derived. In this formulation, rigid body motion of the parts in which the element is divided is obtained. To guarantee equilibrium at the discontinuity surfaces, the length of the discontinuity is introduced in the numerical implementation at elemental level. To illustrate and validate this approach, two examples, involving mode-I failure, are presented. Numerical results are compared with those reported from experimental tests. The presented discontinuity formulation shows a robust finite element method to simulate the damage evolution processes in quasi-brittle materials, without modifying the mesh topology when cohesive cracks propagate. |
| format | Article |
| id | doaj-art-865bfd8080f34e59b53fe7734e85dd53 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-865bfd8080f34e59b53fe7734e85dd532025-02-03T01:04:29ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/71254517125451Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity FormulationJ. Retama0A. G. Ayala1Department of Civil Engineering, FES Aragón, National Autonomous University of Mexico, Mexico City, MexicoDepartment of Structural Engineering, Institute of Engineering, National Autonomous University of Mexico, Mexico City, MexicoThis paper investigates the variational finite element formulation and its numerical implementation of the damage evolution in solids, using a new discrete embedded discontinuity approach. For this purpose, the kinematically optimal symmetric (KOS) formulation, which guarantees kinematics, is consistently derived. In this formulation, rigid body motion of the parts in which the element is divided is obtained. To guarantee equilibrium at the discontinuity surfaces, the length of the discontinuity is introduced in the numerical implementation at elemental level. To illustrate and validate this approach, two examples, involving mode-I failure, are presented. Numerical results are compared with those reported from experimental tests. The presented discontinuity formulation shows a robust finite element method to simulate the damage evolution processes in quasi-brittle materials, without modifying the mesh topology when cohesive cracks propagate.http://dx.doi.org/10.1155/2020/7125451 |
| spellingShingle | J. Retama A. G. Ayala Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation Advances in Civil Engineering |
| title | Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation |
| title_full | Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation |
| title_fullStr | Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation |
| title_full_unstemmed | Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation |
| title_short | Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation |
| title_sort | simulation of the damage process in quasi brittle materials by a modified finite element method using the consistent embedded discontinuity formulation |
| url | http://dx.doi.org/10.1155/2020/7125451 |
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