Special-purpose elements to impose Periodic Boundary Conditions for multiscale computational homogenization of composite materials with the explicit Finite Element Method
| Autor: | Claudio S. Lopes, Miguel González Herráez, F. Naya, C. González, Javier LLorca, S. Sadaba |
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| Přispěvatelé: | European Commission, Ministerio de Economía y Competitividad (España) |
| Rok vydání: | 2019 |
| Předmět: |
Explicit FEM
Ingeniería Mecánica Homogenization Explicit time integration Multiscale computational mechanics Computer science Composite number Micromechanics Composite materials Homogenization (chemistry) Finite element method GeneralLiterature_MISCELLANEOUS Periodic Boundary Conditions (PBC) Nonlinear system Ceramics and Composites Virtual test Periodic boundary conditions Composite material Civil and Structural Engineering |
| Zdroj: | e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid instname |
| Popis: | A novel methodology is presented to introduce Periodic Boundary Conditions (PBC) on periodicRepresentative Volume Elements(RVE) in Finite Element (FE) solvers based on dynamic explicit time integration. This implementation aims at overcoming the difficulties of the explicit FE method in dealing with standard PBC. The proposed approach is based on the implementation of a user-defined element, named a Periodic Boundary Condition Element (PBCE), that enforces the periodicity between periodic nodes through a spring-mass-dashpot system. The methodology is demonstrated in the multiscale simulation ofcomposite materials. Two showcases are presented: one at the scale ofcomputational micromechanics, and another one at the level of computational mesomechanics. The first case demonstrates that the proposed PBCE allows thehomogenizationofcomposite plyproperties through the explicit FE method with increased efficiency and similar reliability with respect to the equivalent implicit simulations with traditional PBC. The second case demonstrates that the PBCE coupled with Periodic Laminate Elements (PLE) can effectively be applied to the computational homogenization of elastic and strength properties of entire laminates taking into account highlynonlinear effects. Both cases motivate the application of the methodology in multiscale virtual testing in support of the building-block certification of composite materials. |
| Databáze: | OpenAIRE |
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