| About this Abstract |
| Meeting |
6th World Congress on Integrated Computational Materials Engineering (ICME 2022)
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| Symposium
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6th World Congress on Integrated Computational Materials Engineering (ICME 2022)
|
| Presentation Title |
Full-Field Homogenization Including Non-Local Regularization of Ductile Fracture in Heterogeneous Materials by Means of FFT |
| Author(s) |
Mira Toth, Laurent Adam, Javier Segurado Escudero |
| On-Site Speaker (Planned) |
Javier Segurado Escudero |
| Abstract Scope |
Material engineering relying on homogenization techniques is for several years finding its way toward industrial applications. The rise of computational power, parallelization methods, GPU programming and solvers like FFT/spectral solvers ease the daily usage of full-field homogenization over larger and more representative RVE (i.e. Representative Volume Element). It also enables multi-scale ICME methodologies allowing to bridge process to structural engineering account for material internal structure [1]. In recent years, numerous non-local extensions of ductile fracture have been proposed to suppress the pathological mesh dependence caused by the localization in an element band after the loss of ellipticity. Among them, the implicit gradient regularization introduces some inelastic non-local fields that enter in the constitutive definition of the damage variable. By doing so, the overall formulation results in a coupled problem of mechanics and auxiliary equations of Helmholtz type. In this contribution two models have been used as basis, a model based on Lemaitre´s ductile damage and another one based on Gurson´s model. The models have been extended to a non-local formulation using an implicit approach [2] and implemented using an efficient FFT homogenization framework [3] where the solution of the coupled damage/mechanical problem is calculated exploiting an iterative staggered scheme. The resulting approach is able to simulate the damage evolution in very complex three-dimensional representative volume elements including millions of d.o.f. Several representative numerical examples have been carried out in order study ductile fracture of periodic heterogeneous solids. The effect of voids and rigid inclusions on the microscopic damage evolution in the solid matrix has been analyzed. Moreover, the average stress/stress response is studied for different sizes of the heterogeneities, showing a prominent size-effect in the overall mechanical behavior. The examples to be shown will be generated combining IMDEA internal software as well as Digimat. |
| Proceedings Inclusion? |
Definite: Other |