Adaptive Concurrent Multi-level Modeling of Multi-scale Ductile Failure in Heterogeneous Metallic Materials

Ghosh, Somnath

doi:10.1007/978-3-7091-1812-2_3

Cited by 2 publications

(4 citation statements)

References 12 publications

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“…In the present work, a different multiscale strategy is proposed for the failure analysis of periodic masonry, which abandons the concept of scale transition in favor of the concept of scale embedding, according to which any heterogeneous structural model is decomposed into a set of fine-and coarse-scale sub-models to be solved simultaneously, in the spirit of the well-known domain decomposition methods (DDMs). Such a strategy, which has already successfully applied to crystals [52], polycrystals, fiber-reinforced [53][54][55] and particlereinforced [56] composites, and concretes [57][58][59], has been used for masonry structures by some of the authors in the previous work [60] for the first time, to the best authors' knowledge. Encouraged by the promising preliminary results obtained in [60], a refined ad-hoc concurrent multiscale model is here proposed, able to perform complete failure analyses of masonry structures under general in-plane loading histories in a very accurate manner.…”

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confidence: 99%

Multiscale failure analysis of periodic masonry structures with traditional and fiber-reinforced mortar joints

Greco

Leonetti

Luciano

et al. 2017

Composites Part B: Engineering

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In this paper, a novel adaptive multiscale model is proposed for accurately predicting the nonlinear mechanical response of periodic brick masonry due to crack initiation and propagation under general in-plane loading histories. Such a model relies on a two-level domain decomposition technique, used in conjunction with an adaptive strategy able to automatically zoom-in the zones incipiently affected by damage localization, with the aim of reducing the typically high computational effort associated with fully microscopic models. The proposed switching criterion is based on the numerical determination of microscopically informed first failure surfaces taking into account higher-order deformation effects. In order to assess the validity of the proposed strategy, a sensitivity analysis is carried out on a shear wall sample by varying the required input numerical parameters. An additional application of the proposed multiscale model is then presented for investigating the role of the fiber content in fiber-reinforced mortars (FRMs), recently introduced for masonry construction and rehabilitation, on the overall response of a deep beam sample. 1 Introduction: an overview of modeling approaches for masonry structures In the last decades, the need of mitigating impacts of natural hazards on cultural heritage artefacts has inspired a huge number of repair and strengthening techniques for traditional masonry structures, also relying on the adoption of fiber-reinforced composite materials [1-4]. Fabric-reinforced cementitious matrix (FRCM) composite systems have emerged as a more sustainable alternative to the most used fiber-reinforced polymer (FRP) materials for restoration and rehabilitation of existing masonry buildings, especially those of historical and architectural interest [5-7]. The use of a cementitious matrix allows for a better chemical, mechanical and aesthetical compatibility with the masonry substrate and offers a potential fire protection. Nowadays, reinforcing fibers are available in a wide variety of materials and may be grouped into four classes: steel (low carbon or stainless), mineral (glass, basalt, etc.), synthetic organic (carbon, aramid, PBO, etc.) and natural organic, including both plant and animal fibers. Among them, natural fibers are gaining more and more attention by virtue of their low cost and low environmental impact, in terms of levels of embodied energy and CO2 production. However, in the presence of exposed brickworks, strengthening of masonry with externally bonded composite materials is often not desirable and/or allowed, so that less intrusive rehabilitation techniques should be used. Considering that the mortar joints are at the same time the weakest and the easiest

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confidence: 99%

Multiscale failure analysis of periodic masonry structures with traditional and fiber-reinforced mortar joints

Greco

Leonetti

Luciano

et al. 2017

Composites Part B: Engineering

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“…The HCDM model corresponds to diffused damage in the macrostructure and is not valid in regions of severe macroscopic localization. In such cases, a concurrent multi-scale model as developed by the authors in [21,22] is desirable. The author has developed 3D HCDM model in [25][26][27] in a principal damage coordinate system (PDCS), which evolves with the load history.…”

Section: Introductionmentioning

confidence: 99%

“…Top-down localization, on the other hand, requires cascading down and embedding critical regions of localized damage or instability with explicit representation of the microstructure and micromechanisms. The computational model concurrently performs micromechanical analysis in these regions with direct interfaces to the surrounding homogenized region of macroscopic analysis [20][21][22]. In other approaches in [23,24], higher-order gradients have been introduced to regularize the material model.…”

Section: Introductionmentioning

confidence: 99%

“…The second category of concurrent multi-scale modeling methods has been proposed for problems of heterogeneous materials involving high solution gradients in [15][16][17][18][19][20][21][22]. Concurrent multi-scale models differentiate between regions that require differential resolutions and invoke two-way (both bottom-up and top-down) coupling of scales.…”

Section: Introductionmentioning

confidence: 99%

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Foundational aspects of a multi-scale modeling framework for composite materials

Ghosh

2015

Integr Mater Manuf Innov

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The objective of this paper is to provide an integrated computational materials science and engineering or ICMSE perspective on various aspects governing multi-scale analysis of composite materials. These include microstructural characterization, micromechanical analysis of microstructural regions, and bridging length scales through hierarchical modeling. The paper discusses methods of identifying representative volume elements or RVEs in the material microstructure using both morphology-and micromechanics-based methods. For microstructures with nonuniform distributions, a statistically equivalent RVE or SERVE is identified for developing homogenized properties under undamaged and damaging conditions. A particularly novel development is the introduction of SERVE boundary conditions based on the statistical distribution of heterogeneities in the domain exterior to the SERVE. A micromechanical model of the SERVE incorporating explicit damage mechanisms like interfacial debonding, and fiber and matrix damage is developed for crack propagation. Finally, a microstructural homogenization-based continuum damage mechanics (HCDM) model is developed that accounts for the microstructural distributions as well as the evolution of damage. The HCDM model-based simulations are able to provide both macroscopic and microscopic information on evolving damage and failure.

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Adaptive Concurrent Multi-level Modeling of Multi-scale Ductile Failure in Heterogeneous Metallic Materials

Cited by 2 publications

References 12 publications

Multiscale failure analysis of periodic masonry structures with traditional and fiber-reinforced mortar joints

Multiscale failure analysis of periodic masonry structures with traditional and fiber-reinforced mortar joints

Foundational aspects of a multi-scale modeling framework for composite materials

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