Meso-scale modeling of heat transport in a heterogeneous cemented geomaterial by lattice element method

Sattari, Amir; Rizvi, Zarghaam Haider; Motra, Hem Bahadur; Wuttke, Frank

doi:10.1007/s10035-017-0751-4

Cited by 30 publications

(21 citation statements)

References 34 publications

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“…Generally, discrete lattice models have been extensively used to successfully represent complex failure mechanisms occurring in heterogeneous materials, such as concrete or rocks [23][24][25][26]. They have also been applied in multiphysics failure applications [27,28], thermal conductivity [29], vibration analysis [30,31], dynamic crack propagation [32,33] and impact applications [34,35]. However, none of these models is comparable to the present model, which provides the failure mechanisms in mode I and mode II in terms of embedded discontinuities in Timoshenko lattice beam elements.…”

Section: Discrete Lattice Model With Embedded Strong Discontinuitiesmentioning

confidence: 99%

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Crack propagation in dynamics by embedded strong discontinuity approach: Enhanced solid versus discrete lattice model

Nikolić

Nam

Ibrahimbegović

et al. 2018

Computer Methods in Applied Mechanics and Engineering

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In this work we propose and compare the two models for crack propagation in dynamics. Both models are based on embedded strong discontinuities for localized cohesive type crack description and both provide the advantage to not to require tracking algorithms. The first one is based on discrete lattice approach, where the domain is discretized with Voronoi cells held together prior to crack occurrence by cohesive links represented in terms of Timoshenko beams. The second one is based on constant strain triangular solid element. In both models, propagation of cracks activates enhancements in the displacement field leading to embedded strong discontinuities. The latter remain localized inside the element, regulated by the localized traction separation behavior defined through exponential softening law. Thus, the both models provide the result that remain mesh-independent, with fracture energy as the model parameter. We show that implementation in dynamics framework can be obtained by adding inertial effects without modifying the existing quasi-statics models. In order to provide reliable results, classical implicit Newmark algorithm can be used for time integration. The two presented models are subjected to dynamic crack propagation benchmarks, where detailed analysis on strain, kinetic, plastic free and dissipated energy during simulation is verified by comparison to the amount of total work which is introduced into the system. The main strength of the proposed approach is that cracks initiation, propagation, their coalescence, merging and branching are automatically obtained without any tracking algorithms. In addition, since the discontinuities remain localized inside elements, accurate results can be obtained even with coarser grids, leading to efficient methodology capable of capturing complex crack patterns in dynamics.

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Section: Discrete Lattice Model With Embedded Strong Discontinuitiesmentioning

confidence: 99%

“…Note that the plastic work (combination of plastic dissipation and plastic free energy) is computed by above integral (28) in the limits up to the current time step. That integral is solved analytically in our code.…”

Section: Plastic Softeningmentioning

confidence: 99%

Crack propagation in dynamics by embedded strong discontinuity approach: Enhanced solid versus discrete lattice model

Nikolić

Nam

Ibrahimbegović

et al. 2018

Computer Methods in Applied Mechanics and Engineering

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“…The Thermal Lattice Element Method (TLEM), which is derived from condensed matter physics, offers a solution to the complex problem of heat propagation in granular assembly [2,4,5]. In principle, the lattice-based models are working on atomic lattice models [36].…”

Section: Hard Computational With Thermal Lattice Element Methodsmentioning

confidence: 99%

“…The twobody interactions are used to model many-body interactions. The critical factor in many-body interactions is that the chosen time step is such that any temperature disturbance is felt only to the neighbouring particle in one step [4,5]. For this work, the constant contact among the elements is considered.…”

Section: Generation Of the Granular Mediamentioning

confidence: 99%

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Soft and hard computation methods for estimation of the effective thermal conductivity of sands

et al. 2020

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Thermal properties of sand are of importance in numerous engineering and scientific applications ranging from energy storage and transportation infrastructures to underground construction. All these applications require knowledge of the effective thermal parameters for proper operation. The traditional approaches for determination of the effective thermal property, such as the thermal conductivity are based on very costly, tedious and time-consuming experiments. The recent developments in computer science have allowed the use of soft and hard computational methods to compute the effective thermal conductivity (ETC). Here, two computation methods are presented based on soft and hard computing approaches, namely, the deep neural network (DNN) and the thermal lattice element method (TLEM), respectively, to compute the ETC of sands with varying porosity and moisture content values. The developed models are verified and validated with a small data set reported in the literature. The computation results are compared with the experiments, and the numerical results are found to be within reasonable error bounds. The deep learning method offers fast and robust implementation and computation, even with a small data set due to its superior backpropagation algorithm. However, the TLEM based on micro and meso physical laws outperforms it at accuracy.

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A hardening/softening viscoplastic model for large deformation of soil

Parvaneh

Foster

Chi

2022

Num Anal Meth Geomechanics

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A three-invariant continuum cap plasticity model with viscoplastic features is developed for modeling the large deformation of soil. Multiple failure mechanisms including combined shear and compaction yielding and loss of strength under tension can be captured by this model. The shear yield surface of the model is formulated to be nonlinear and pressure-dependent. The model also features a cap surface that governs inelastic compaction hardening. This cap is formulated as an explicit expression of porosity. The differences in triaxial compression and extension strength are also considered. A set of numerical examples are carried out, including triaxial compression and compression-shear tests, in order to examine the model under confined loading conditions, and observe the formation of shear bands.

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Meso-scale modeling of heat transport in a heterogeneous cemented geomaterial by lattice element method

Cited by 30 publications

References 34 publications

Crack propagation in dynamics by embedded strong discontinuity approach: Enhanced solid versus discrete lattice model

Crack propagation in dynamics by embedded strong discontinuity approach: Enhanced solid versus discrete lattice model

Soft and hard computation methods for estimation of the effective thermal conductivity of sands

A hardening/softening viscoplastic model for large deformation of soil

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