Automated modeling of random inclusion composites

Bailakanavar, M.; Liu, Yang; Fish, Jacob; Zheng, Yu

doi:10.1007/s00366-012-0310-x

Cited by 39 publications

(27 citation statements)

References 26 publications

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“…Some multicomponent composites may also have mixed types of structures. Parameters influencing the RVE geometry are the shape and size of the inclusions, the volume fraction and the morphological details like the spatial orientation and spatial distribution of the inclusions (Bailakanavar et al 2012). To be statistically representative, RVEs should contain sufficient information about these features.…”

Section: Generation Of Random Microstructuresmentioning

confidence: 99%

“…Likewise, the process of sequentially and randomly positioning an inclusion is continued till the desired volume fraction is achieved or till the jamming limit is encountered. This method generates unit cells with nonintersecting inclusions wherein the gap between the inclusions is user-defined, typically of the order of inclusion size (Bailakanavar et al 2012).…”

Section: Generation Of Random Microstructuresmentioning

confidence: 99%

“…Methods aimed on increasing this limit up to 35% volume fraction were proposed by ). The hierarchical random sequential adsorption introduced by (Bailakanavar et al 2012) allowed to reach 45%. The cylindrical inclusions can be packed with the volume of 50% using the approach that is described in (Islam et al 2016), while the same volume fraction can be obtained for spherical inclusions with the denser packing algorithm proposed by (Segurado and Llorca 2002).…”

Section: Generation Of Random Microstructuresmentioning

confidence: 99%

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Statistical methods for mechanical characterization of randomly reinforced media

Tashkinov

2017

Mech Adv Mater Mod Process

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Advanced materials with heterogeneous microstructure attract extensive interest of researchers and engineers due to combination of unique properties and ability to create materials that are most suitable for each specific application. One of the challenging tasks is development of models of mechanical behavior for such materials since precision of the obtained numerical results highly depends on level of consideration of features of their heterogeneous microstructure. In most cases, numerical modeling of composite structures is based on multiscale approaches that require special techniques for establishing connection between parameters at different scales. This work offers a review of instruments of the statistics and the probability theory that are used for mechanical characterization of heterogeneous media with random positions of reinforcements. Such statistical descriptors are involved in assessment of correlations between the microstructural components and are parts of mechanical theories which require formalization of the information about microstructural morphology. Particularly, the paper addresses application of the instruments of statistics for geometry description and media reconstruction as well as their utilization in homogenization methods and local stochastic stress and strain field analysis.

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Section: Generation Of Random Microstructuresmentioning

confidence: 99%

Section: Generation Of Random Microstructuresmentioning

confidence: 99%

Section: Generation Of Random Microstructuresmentioning

confidence: 99%

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Statistical methods for mechanical characterization of randomly reinforced media

Tashkinov

2017

Mech Adv Mater Mod Process

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“…In order to evaluate the orthotropic properties, samples are cut from an injection molded plaque along 0 ı and 90 ı and subjected to uniaxial tensile testing. The modified RSA algorithm [39] was used to generate the unit cell geometries for the two material systems. Utilizing the preferential orientation feature of the RSA algorithm, the fibers were constrained to orient along 0 ı and 90 ı with an allowable deviation of˙5 ı so that the unit cell geometry captures the distribution of the fibers found in the test samples.…”

Section: Validationmentioning

confidence: 99%

Computational coupling of moisture diffusion and mechanical deformation in polymer matrix composites

Bailakanavar

Fish

Aitharaju

et al. 2014

Numerical Meth Engineering

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A computationally efficient multiscale-multiphysics model aimed at predicting mechanical response of thermoplastic composites subjected to different levels of moisture was developed. The mathematical model of the coupled moisture-diffusion-mechanical-deformation phenomenon was stated at the microscale, based on the observed experimental data, and then upscaled using a mathematical homogenization approach. A two-way coupling between moisture diffusion and mechanical deformation was introduced by which diffusivity was enhanced by hydrostatic strain, whereas strength and stiffness were assumed to degrade because of moisture ingression, which also gives rise to swelling. The computational complexity of analyzing the two coupled physical processes at multiple scales was reduced via a model reduction scheme for multiple physical processes. The model was validated for 30% by weight filled glass fiber and carbon fiber reinforced thermoplastic composites. The moisture conditioning and uniaxial tension experiments were utilized to identify diffusion and mechanical properties at a fine scale. The identified properties were then used to validate the formulation in the three-point bending test. motor oil, brake fluid, gasoline, and battery acid) has often resulted in overdesign and thus limited their insertion in load bearing components because the overdesigned component may not yield any mass advantages. There are two main reasons for this state of affairs: (1) existence of multiple spatial scales and multiple coupled physical processes, such as thermal, mechanical, and moisture diffusion; and (2) costly environmental degradation experiments that require long time exposure of the test specimens to varied levels of humidity and temperature conditions. Among the various thermoplastic composites, short fiber thermoplastics have been increasingly used in the automotive industry. Their usage is intended to fill the gap in the mechanical properties between continuous-long fiber composites, primarily used as structural members, and unreinforced polymers, used as non-load bearing members. Glass and carbon short fibers are primarily used as reinforcements in polyamides (PA/nylon) or polyphthalamides. The main applications are in body parts, such as door panels, hoods, bonnets, and bumpers, and engine parts including cam covers, engine mounts, fuel tanks, fuel cells, and interior trims including molded seats. These materials are in demand because of their manufacturing ease, versatility, low cost, corrosion resistance, and superior mechanical, thermal, and electrical properties.Polyamides of semi-crystalline composition are known to absorb moisture because of their chemical structure. Experimental studies of PA-6, PA-66, and PA-46 polyamides report an equilibrium moisture content varying in the range from 1.2 to 2.5 wt.% of water at 50% relative humidity (RH) and 23 ı C temperatures and about 8-9 wt.% upon reaching saturation conditions [6][7][8][9]. The moisture is first absorbed in the microcracks and macrocracks/voids, if present, ...

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“…Wang et al proposed a procedure for generating random aggregate structures for angular aggregates by means of Monte Carlo sampling, which was compatible for concave polygon [21]. An inevitable algorithm was intersection check of convex polygons, which was achieved by detecting space independence of two polygons [22,23]. In terms of meshing, mortar plus smaller aggregates embedding coarse aggregate was discretized into finite elements by free meshing [20,24] or uniform background grid [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Numerical Study on Diffusion of Chloride and Induced Rebar Corrosion by Two-Dimensional Multiscale Approach

Pang

et al. 2018

Modelling and Simulation in Engineering

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Modeling approach for mesoscopic model of concrete depicting mass transportation and physicochemical reaction is important since there is growing demand for accuracy and computational efficiency of numerical simulation. Mesoscopic numerical simulation considering binder, aggregate, and interfacial transition zone (ITZ) generally produces huge number of DOFs, which is inapplicable for full structure. In this paper, a two-dimensional multiscale approach describing three-phase structure of concrete was discussed numerically. An effective approach generating random aggregate in polygon based on checking centroid distance and intersection of line segment was introduced. Moreover, ITZ elements were built by parallel expanding the edge of aggregates on inner side. By combining mesoscopic model including full-graded aggregate and macroscopic model, cases related to diffusivity and width of ITZ, volume fraction, and grade of aggregate were studied regarding the consideration of multiscale compensation. Result clearly showed that larger analysis model in multiscale model expanded the diffusion space of chloride ion and decreased chloride content in front of rebar. Finally, this paper addressed some noteworthy conclusions about the chloride distribution and rebar corrosion regarding the configuration of rebar diameter, concrete cover, and exposure period.

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Automated modeling of random inclusion composites

Cited by 39 publications

References 26 publications

Statistical methods for mechanical characterization of randomly reinforced media

Statistical methods for mechanical characterization of randomly reinforced media

Computational coupling of moisture diffusion and mechanical deformation in polymer matrix composites

Numerical Study on Diffusion of Chloride and Induced Rebar Corrosion by Two-Dimensional Multiscale Approach

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