A computational library for multiscale modeling of material failure

Talebi, Hossein; Silani, Mohammad; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre; Rabczuk, Timon

doi:10.1007/s00466-013-0948-2

Cited by 465 publications

(137 citation statements)

References 133 publications

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“…Atomistic simulations are one way forward, but these are extremely computationally expensive 1 , such that multi-scale approaches are required e.g. see Talebi et al [2014]. One approach to account for the multi-scale nature of materials is to build continuum scale constitutive theories able to reproduce the continuum behaviour of such nano/micro-structured materials, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Micro-structured materials: Inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach

Atroshchenko

Hale

Videla

et al. 2017

Engineering Analysis with Boundary Elements

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Abstract. In this paper we tackle the simulation of microstructured materials modelled as heterogeneous Cosserat media with both perfect and imperfect interfaces. We formulate a boundary value problem for an inclusion of one plane strain micropolar phase into another micropolar phase and reduce the problem to a system of boundary integral equations, which is subsequently solved by the boundary element method. The inclusion interface condition is assumed to be imperfect, which permits jumps in both displacements/microrotations and tractions/couple tractions, as well as a linear dependence of jumps in displacements/microrotations on continuous across the interface tractions/couple traction (model known in elasticity as homogeneously imperfect interface). These features can be directly incorporated into the boundary element formulation.The BEM-results for a circular inclusion in an infinite plate are shown to be in an excellent agreement with the analytical solutions. The BEM-results for inclusions in finite plates are compared with the FEM-results obtained with FEniCS.

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Section: Introductionmentioning

confidence: 99%

Micro-structured materials: Inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach

Atroshchenko

Hale

Videla

et al. 2017

Engineering Analysis with Boundary Elements

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“…Furthermore, strategies for coupling quantum mechanical (QM), molecular mechanical (MM), and continuum mechanical (CM) methods were described in [13]. Recently, an open-source software framework was presented for multiscale modeling and simulation of fracture in solids that called PERMIX [14,15]. Some efforts could be found on the development of commercial software so that model the multiscale problems.…”

Section: Introductionmentioning

confidence: 99%

Benchmarking the penetration-resistance efficiency of multilayer graphene sheets due to spacing the graphene layers

Sadeghzadeh

2016

Appl. Phys. A

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In this paper, the penetration-resistance efficiency of single-layer and multilayer graphene sheets has been investigated by means of the multiscale approach. The employed multiscale approach has been implemented by establishing a direct correlation between the finite element method and the molecular dynamics approach and validated by comparing its results with those of the existing experimental works. Since by using numerous techniques, a new class of graphene sheets can be fabricated in which the graphene layers are spaced farther apart (more than the usual distance between layers), this paper has concentrated on the optimal spacing between graphene layers with the goal of improving the impact properties of graphene sheets as important candidates for novel impact-resistant panels. For this purpose, the relative protection (protection with respect to weight) values of graphene sheets were obtained, and it was observed that the relative protection of a singlelayer graphene sheet is about 3.64 times that of a 20-layer graphene sheet. This study also showed that a spaced multilayer graphene sheet, with its inter-layer distance being 20 times the usual spacing between ordinary graphene layers, has an impact resistance which is about 20 % higher than that of an ordinary 20-layer graphene sheet. The findings of this paper can be appropriately used in the design and fabrication of future-generation impact-resistant protective panels.

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“…In the homogenization method it is not required to estimate constitutive equations at the macroscale, instead the stress-strain law is computed at the critical material points. Existing works on multiscale methods are limited mainly based on the FEM [46,52,53], or coupled FE-molecular dynamics [47,54,[56][57][58][59][60][61][62][63]75] techniques. It would be interesting in the future to explore the potential of other novel numerical methods to deal with the moving boundary problems such as meshless methods [39][40][41][42][43][44][45][48][49][50][51][64][65][66][67][68][69][70][71] and other types of discontinuum based methods [55,[72][73][74].…”

Section: Introductionmentioning

confidence: 99%

A 3D computational homogenization model for porous material and parameters identification

Zhuang

Wang

Zhu

2015

Computational Materials Science

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A computational library for multiscale modeling of material failure

Abstract: We present an open-source software framework called PERMIX for multiscale modeling

Cited by 465 publications

References 133 publications

Micro-structured materials: Inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach

Micro-structured materials: Inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach

Benchmarking the penetration-resistance efficiency of multilayer graphene sheets due to spacing the graphene layers

A 3D computational homogenization model for porous material and parameters identification

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