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

Nguyen, Thanh Tung; Yvonnet, Julien; Bornert, Michel; Chateau, Camille; Bilteryst, François; Steib, Eric

doi:10.1016/j.eml.2017.09.013

Cited by 38 publications

(29 citation statements)

References 22 publications

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“…From the 500 × 500 pixels, a mesh of ≈ 80000 triangular elements is generated, where the material property of matrix and inclusion are transferred into the triangular domains associated with elements. A detailed description was previously reported by the present authors, and curious readers should refer to, see e.g., [22] for more information.…”

Section: Cement-based Microstructure: Hydration Reaction Induced Fracmentioning

confidence: 91%

“…Furthermore, nucleation, interaction and arbitrary crack morphologies can thus be handled in regular meshes [19,20]. The method has proved to be highly suited to the simulation of microcracking in complex heterogeneous materials, e.g., see [20][21][22] and references therein. The phase field method may be approached both theoretically and practically, providing an elegant description for taking into account multi-physics effects on the failure phenomenon.…”

Section: Introductionmentioning

confidence: 99%

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Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials

Nguyen

Waldmann

Bui

2019

Computer Methods in Applied Mechanics and Engineering

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In this paper, we present a new multi-physics computational framework that enables us to capture and investigate complex fracture behavior in cement-based materials at early-age. The present model consists of coupling the most important chemothermo-mechanical processes to describe temperature evolution, variation of hydration degree, and mechanical behavior. The changes of material properties are expressed as a function of the hydration degree, to capture the age effects. Fracture analysis of these processes is then accommodated by a versatile phase field model in the framework of smeared crack models, addressing the influence of cracks on hydration and thermal transfer. We additionally describe a stable and robust numerical algorithm, which aims to solve coupled problems by using a staggered scheme. The developed approach is applied to study the fracture phenomena for both homogeneous and heterogeneous concrete structures. Especially, in the second case, all microstructural heterogeneities of sand and cement matrix are explicitly accounted. Nucleation, initiation, and propagation of complex crack network are simulated in an efficient way demonstrating the potential of the proposed approach to assess the early-age defects in concrete structures and materials.

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Section: Cement-based Microstructure: Hydration Reaction Induced Fracmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials

Nguyen

Waldmann

Bui

2019

Computer Methods in Applied Mechanics and Engineering

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“…Several meshing codes are available, like Cgal , Tetgen , Iso2mesh , or AVIZO . Examples of constructions of such unstructured meshes can be found in [51]. In this paper, we will use the first mentioned technique for large applications, i.e.…”

Section: Coarse Mesh Condensation Multiscale (Cmcm) Methods For Periodmentioning

confidence: 99%

Full-Field Elastic Simulations for Image-Based Heterogeneous Structures With a Coarse Mesh Condensation Multiscale Method

Yvonnet

Feld

et al. 2020

Int J Mult Comp Eng

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Micro tomography images allow obtaining fully detailed microstructural descriptions of heterogeneous materials and structures. To evaluate the effects of local gradients induced by the boundary conditions, it might be of interest to perform Direct Numerical Simulations (DNS) of such structures. In this paper, a multiscale method is developed to perform DNS on large, non-periodic linear heterogeneous structures with arbitrary boundary conditions and which can be performed in a classical Finite Element context. The method uses off-line calculations on subdomains that do not require to be periodic. Then, direct segmented images of the full 3D structure can be used directly without simplification. The novelty here is the use of non-periodic subdomains to decompose non-periodic heterogeneous structures and the possibility to use a coarse mesh which does not conform to the boundaries of the subdomains. As a result, the full-field finite element problem can be solved on the basis of the coarse mesh only, reducing drastically the computational costs. The accuracy of the method is analyzed on benchmarks and applications on large heterogeneous structures such as arising from 3D microtomography images are presented.

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“…With increasing computational power, numerical models that fully resolve the microstructural geometry in the whole macroscopic domain, e.g. [5,6], or in regions of interest [7,8], have emerged, addressing problems without clear scale separation.…”

Section: Introductionmentioning

confidence: 99%

Level-set Based Design of Wang Tiles for Modelling Complex Microstructures

Doškář

Zeman

Rypl

et al. 2020

Computer-Aided Design

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Microstructural geometry plays a critical role in the response of heterogeneous materials. Consequently, methods for generating microstructural samples are increasingly crucial to advanced numerical analyses. We extend Sonon et al.'s unified framework, developed originally for generating particulate and foam-like microstructural geometries of Periodic Unit Cells, to non-periodic microstructural representations based on the formalism of Wang tiles. This formalism has been recently proposed in order to generalize the Periodic Unit Cell approach, enabling a fast synthesis of arbitrarily large, stochastic microstructural samples from a handful of domains with predefined microstructural compatibility constraints. However, a robust procedure capable of designing complex, three-dimensional, foam-like and cellular morphologies of Wang tiles has not yet been proposed. This contribution fills the gap by significantly broadening the applicability of the tiling concept.Since the original Sonon et al.'s framework builds on a random sequential addition of particles enhanced with an implicit representation of particle boundaries by the level-set field, we first devise an analysis based on a connectivity graph of a tile set, resolving the question where a particle should be copied when it intersects a tile boundary. Next, we introduce several modifications to the original algorithm that are necessary to ensure microstructural compatibility in the generalized periodicity setting of Wang tiles. Having established a universal procedure for generating tile morphologies, we compare strictly aperiodic and stochastic sets with the same cardinality in terms of reducing the artificial periodicity in reconstructed microstructural samples. We demonstrate the superiority of the vertex-defined tile sets for two-dimensional problems and illustrate the capabilities of the algorithm with two-and three-dimensional examples.

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

Cited by 38 publications

References 22 publications

Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials

Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials

Full-Field Elastic Simulations for Image-Based Heterogeneous Structures With a Coarse Mesh Condensation Multiscale Method

Level-set Based Design of Wang Tiles for Modelling Complex Microstructures

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