Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks
The existence of a representative volume element (RVE) for a class of quasi-brittle materials having a random heterogeneous microstructure in tensile, shear and mixed mode loading is demonstrated by deriving traction–separation relations, which are objective with respect to RVE size. A computational...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/114132 |
| Online Access: | https://hdl.handle.net/2117/114132 https://dx.doi.org/10.1016/j.cma.2010.10.013 |
| Access Level: | Open access |
| Keyword: | Fracture mechanics Representative volume element (RVE) Quasi-brittle materials Softening Multiscale Homogenization Cohesive law Mecànica de fractura Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures |
| Summary: | The existence of a representative volume element (RVE) for a class of quasi-brittle materials having a random heterogeneous microstructure in tensile, shear and mixed mode loading is demonstrated by deriving traction–separation relations, which are objective with respect to RVE size. A computational homogenization based multiscale crack modelling framework, implemented in an FE2 setting, for quasi-brittle solids with complex random microstructure is presented. The objectivity of the macroscopic response to the micro-sample size is shown by numerical simulations. Therefore, a homogenization scheme, which is objective with respect to macroscopic discretization and microscopic sample size, is devised. Numerical examples including a comparison with direct numerical simulation are given to demonstrate the performance of the proposed method. |
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