3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagation
Quasi-brittle fracture is an emergent characteristic, and this cannot be treated satisfactorily with the numerical methods based on macromechanics. Because of their complex microstructure, the continuum approach can be too simple for these materials, and needs a finer discretization to obtain satisf...
| Main Authors: | , |
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| Format: | Journal article |
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Elsevier
2014
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| _version_ | 1826297790497554432 |
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| author | Saucedo-Mora, L Marrow, T |
| author_facet | Saucedo-Mora, L Marrow, T |
| author_sort | Saucedo-Mora, L |
| collection | OXFORD |
| description | Quasi-brittle fracture is an emergent characteristic, and this cannot be treated satisfactorily with the numerical methods based on macromechanics. Because of their complex microstructure, the continuum approach can be too simple for these materials, and needs a finer discretization to obtain satisfactory results. In numerical terms, this means that the computational cost of advanced methods, such as cohesive elements or embedded cracks, is often too high for engineering scale problems. In this paper we use the Cellular Automata integrated with Finite Element method to account for the effect of microstructure on quasi-brittle properties within the finite element simulation. Here the microstructure is modeled explicitly by subdividing a finite element into small elements called cells. Graded microstructures, textures and particle anisotropy can be readily simulated in microstructures with multiple phases and the influence of the initial finite element mesh is erased during the development of the microstructure. This method provides two sets of elements representing the finite element model and the microstructure. The first is used to link the engineering scale problem with the microstructure, obtaining the stress and strain fields of the macro-mechanical problem. With those, we compute the micro-mechanical fields using the second set of elements, which describes explicitly the microstructure. We use the Meshfree approach for the damage development through the microstructure. The material properties of the finite elements are recomputed according to the microstructure damage and the fracture path is completely free with respect to the finite element mesh. By this method quasi-brittle fracture can develop freely through the microstructure, improving the accuracy and computational cost of the calculations at engineering length-scales in complex microstructures. |
| first_indexed | 2024-03-07T04:37:01Z |
| format | Journal article |
| id | oxford-uuid:d04a75db-08c6-4bbf-a7c2-bb8484c4a086 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:37:01Z |
| publishDate | 2014 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:d04a75db-08c6-4bbf-a7c2-bb8484c4a0862022-03-27T07:48:56Z3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d04a75db-08c6-4bbf-a7c2-bb8484c4a086Symplectic Elements at OxfordElsevier2014Saucedo-Mora, LMarrow, TQuasi-brittle fracture is an emergent characteristic, and this cannot be treated satisfactorily with the numerical methods based on macromechanics. Because of their complex microstructure, the continuum approach can be too simple for these materials, and needs a finer discretization to obtain satisfactory results. In numerical terms, this means that the computational cost of advanced methods, such as cohesive elements or embedded cracks, is often too high for engineering scale problems. In this paper we use the Cellular Automata integrated with Finite Element method to account for the effect of microstructure on quasi-brittle properties within the finite element simulation. Here the microstructure is modeled explicitly by subdividing a finite element into small elements called cells. Graded microstructures, textures and particle anisotropy can be readily simulated in microstructures with multiple phases and the influence of the initial finite element mesh is erased during the development of the microstructure. This method provides two sets of elements representing the finite element model and the microstructure. The first is used to link the engineering scale problem with the microstructure, obtaining the stress and strain fields of the macro-mechanical problem. With those, we compute the micro-mechanical fields using the second set of elements, which describes explicitly the microstructure. We use the Meshfree approach for the damage development through the microstructure. The material properties of the finite elements are recomputed according to the microstructure damage and the fracture path is completely free with respect to the finite element mesh. By this method quasi-brittle fracture can develop freely through the microstructure, improving the accuracy and computational cost of the calculations at engineering length-scales in complex microstructures. |
| spellingShingle | Saucedo-Mora, L Marrow, T 3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagation |
| title | 3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagation |
| title_full | 3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagation |
| title_fullStr | 3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagation |
| title_full_unstemmed | 3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagation |
| title_short | 3D cellular automata finite element method with explicit microstructure: modeling quasi-brittle fracture using meshfree damage propagation |
| title_sort | 3d cellular automata finite element method with explicit microstructure modeling quasi brittle fracture using meshfree damage propagation |
| work_keys_str_mv | AT saucedomoral 3dcellularautomatafiniteelementmethodwithexplicitmicrostructuremodelingquasibrittlefractureusingmeshfreedamagepropagation AT marrowt 3dcellularautomatafiniteelementmethodwithexplicitmicrostructuremodelingquasibrittlefractureusingmeshfreedamagepropagation |