Hierarchically parallel coupled finite strain multiscale solver for modeling heterogeneous layers

Mosby, Matthew; Matouš, Karel

doi:10.1002/nme.4755

Cited by 40 publications

(43 citation statements)

References 32 publications

(47 reference statements)

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“…It shows that the presented simulations can be conducted on classical machines, but that a very large space for improvement of computational times is possible, by using massively parallel computers, such as e.g. in [15,17].…”

Section: Resultsmentioning

confidence: 99%

Large-scale simulations of quasi-brittle microcracking in realistic highly heterogeneous microstructures obtained from micro CT imaging

Nguyen

Yvonnet

Bornert

et al. 2017

Extreme Mechanics Letters

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Large-scale simulations of quasi-brittle microcracking in realistic highly heterogeneous microstructures obtained from micro CT imaging. Extreme mechanics letters, Elsevier, 2017Elsevier, , 17, pp.50-55. 10.1016Elsevier, /j.eml.2017 Large-scale simulations of quasi-brittle microcracking in realistic highly heterogeneous microstructures obtained from micro CT imaging AbstractWe present large-scale simulations of microcracking initiation and propagation using a continuum mechanics description in realistic, voxel-based microstructures of heterogeneous quasi-brittle materials obtained from CT imaging techniques. The phase field method is used to describe the evolution of the complex microcracks networks in both uniaxial tension and compression of a sub-volume of a lightweight concrete, where all pores and sand grains are explicitly described. A description of the meshing techniques for such complex voxel-based models is provided, and a convergence study of the tensile failure strength with respect to the sample size is carried out. Such large-scale simulations have high potential to be used either within recent concurrent multiscale methods or in approaches combining in-situ experiments with 3D imaging techniques and simulations for inverse identification of microstructural damage models.

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Section: Resultsmentioning

confidence: 99%

Large-scale simulations of quasi-brittle microcracking in realistic highly heterogeneous microstructures obtained from micro CT imaging

Nguyen

Yvonnet

Bornert

et al. 2017

Extreme Mechanics Letters

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“…Nevertheless, CH is naturally parallelizable (Mosby and Matouš, 2015a) and the method has demonstrated excellent scalability as shown later in this chapter. Alternatively, a growing emphasis is given on its efficiency, whereby use is made of advanced computational techniques and reduced order models (Yvonnet and He, 2007;Fritzen and Leuschner, 2013;Fritzen et al, 2014;Kerfriden et al, 2014).…”

Section: Nonlinear Computational Homogenizationmentioning

confidence: 92%

“…• Multiscale interfaces or cohesive cracks: CH of interfaces typically couples a cohesive zone type description at the macroscale to an interfacial RVE at the microscale Verhoosel et al, 2010;Nguyen et al, 2012;Mosby and Matouš, 2015a).…”

Section: Nonlinear Computational Homogenizationmentioning

confidence: 99%

Homogenization Methods and Multiscale Modeling: Nonlinear Problems

Geers

Kouznetsova

Matouš

et al. 2017

Encyclopedia of Computational Mechanics Second Edition

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This article focuses on computational multiscale methods for the mechanical response of nonlinear heterogeneous materials. After a short historical note, a brief overview is given of some recent activities in the field, with a particular focus on nonlinear homogenization methods. The two‐scale nonlinear computational homogenization (CH) scheme for mechanics is presented, along with details on representative unit cell aspects and statistics. Model performance is advocated through a decoupled implementation and multiscale schemes based on the nonuniform transformation field analysis. High‐performance parallel multiscale implementations of the CH scheme are addressed in more detail.

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“…However, the multiscale homogenization solution is easily parallelizable due to the fact that the different micro-scale BVPs are independent of each other [24,70,81]. In addition, several recent contributions have been presented aiming at improving the robustness and reducing the computational cost e.g.…”

Section: Review Of Multiscale Methodsmentioning

confidence: 99%

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method

Otero

Oller

Martı́nez

2016

Arch Computat Methods Eng

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Aquesta és una còpia de la versió author's final draft d'un article publicat a la revista Archives of computational methods in engineering. Abstract The continuous increase of computational capacity has encouraged the extensive use of multiscale techniques to simulate the material behaviour on several fields of knowledge. In solid mechanics, the multiscale approaches which consider the macro-scale deformation gradient to obtain the homogenized material behaviour from the micro-scale are called first-order computational homogenization. Following this idea, the second-order FE2 methods incorporate high-order gradients to improve the simulation accuracy. However, to capture the full advantages of these high-order framework the classical Boundary Value Problem (BVP) at the macro-scale must be upgraded to high-order level, which complicates their numerical solution. With the purpose of obtaining the best of both methods i.e. firstorder and second-order, in this work an enhanced-firstorder computational homogenization is presented. The proposed approach preserves a classical BVP at the macro-scale level but taking into account the high-order gradient of the macro-scale in the micro-scale solution. The developed numerical examples show how the proposed method obtains the expected stress distribution at the micro-scale for states of structural bending loads. Nevertheless, the macro-scale results achieved are the same than the ones obtained with a first-order framework because both approaches share the same macroscale BVP.

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Hierarchically parallel coupled finite strain multiscale solver for modeling heterogeneous layers

Cited by 40 publications

References 32 publications

Large-scale simulations of quasi-brittle microcracking in realistic highly heterogeneous microstructures obtained from micro CT imaging

Large-scale simulations of quasi-brittle microcracking in realistic highly heterogeneous microstructures obtained from micro CT imaging

Homogenization Methods and Multiscale Modeling: Nonlinear Problems

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method

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