Nonlinear multiphysics finite element code architecture in object oriented Fortran environment

Yuan, Zifeng; Fish, Jacob

doi:10.1016/j.finel.2015.01.008

Cited by 11 publications

(14 citation statements)

References 35 publications

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“…The resulting coarse scale stress

{normalσ}_{n + 1}^{c} ((), boldx, t)

is passed back to coarse‐scale finite element engine to continue the iterative process. The aforementioned nonlocal discrete‐continuum model is implemented by integrating FOOF , a macroscale FEM solver, and OVAL , a microscale DEM solver. The numerical algorithm that links between the macro‐scale and micro‐scale solvers is shown in the flow chart in Figure .…”

Section: Methodsmentioning

confidence: 99%

A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials

Liu

Sun

Yuan

et al. 2015

Int. J. Numer. Meth. Engng

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Summary A three‐dimensional nonlocal multiscale discrete‐continuum model has been developed for modeling mechanical behavior of granular materials. In the proposed multiscale scheme, we establish an information‐passing coupling between the discrete element method, which explicitly replicates granular motion of individual particles, and a finite element continuum model, which captures nonlocal overall responses of the granular assemblies. The resulting multiscale discrete‐continuum coupling method retains the simplicity and efficiency of a continuum‐based finite element model, while circumventing mesh pathology in the post‐bifurcation regime by means of staggered nonlocal operator. We demonstrate that the multiscale coupling scheme is able to capture the plastic dilatancy and pressure‐sensitive frictional responses commonly observed inside dilatant shear bands, without employing a phenomenological plasticity model at a macroscopic level. In addition, internal variables, such as plastic dilatancy and plastic flow direction, are now inferred directly from granular physics, without introducing unnecessary empirical relations and phenomenology. The simple shear and the biaxial compression tests are used to analyze the onset and evolution of shear bands in granular materials and sensitivity to mesh density. The robustness and the accuracy of the proposed multiscale model are verified in comparisons with single‐scale benchmark discrete element method simulations. Copyright © 2015 John Wiley & Sons, Ltd.

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“…The resulting coarse scale stress

{normalσ}_{n + 1}^{c} ((), boldx, t)

Section: Methodsmentioning

confidence: 99%

A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials

Liu

Sun

Yuan

et al. 2015

Int. J. Numer. Meth. Engng

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“…The ROH adopts a piecewise constant approximation of eigenfields (eigenstrains and eigentemperature gradients) over each phase as schematically shown in Figure . For more details, we refer to References for the case of a single physical process. ROH for two physical process, such as a mechanical problem coupled with an oxidation damage in ceramics and titanium or degradation due to moisture ingression in polymers, was studied in References , respectively.…”

Section: Roh Frameworkmentioning

confidence: 99%

“…To this end, we describe the solution of the two‐scale coupled multiphysics problem, which has been implemented in the finite element solver based on object oriented fortran (FOOF) environment …”

Section: Roh Frameworkmentioning

confidence: 99%

A coupled thermo‐chemo‐mechanical reduced‐order multiscale model for predicting process‐induced distortions, residual stresses, and strength

Yuan

Aitharaju

Fish

2019

Numerical Meth Engineering

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Summary We study residual stresses and part distortion induced by a manufacturing process of a polymer matrix composite and its effect on the component strength. Unlike most of the thermo‐chemo‐mechanical models in the literature where governing multiphysics equations are directly formulated on the macroscale, we present a multiscale‐multiphysics approach. To address the enormous computational complexity involved, a reduced‐order homogenization was originally developed for a single physics problem is employed. The proposed reduced‐order two‐scale thermo‐chemo‐mechanical model has been validated for predicting part distortion beam strength in three‐point bending test. It is shown that while macroscopic stresses are relatively low, and therefore often ignored in practice, stresses at the scale of microconstituents are significant and may have an effect on the overall composite component strength.

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“…The inelastic deterministic analysis was performed with FOOF as a macro‐solver and Multiscale Designer as micro‐solver. The solver calibrates the data by matching the strength reported with the prediction from homogenization with least square minimization.…”

Section: Numerical Studiesmentioning

confidence: 99%

“…The finite element macro‐model was constructed in FOOF . The finite element mesh consists of 36 twenty‐node quadratic laminated elements in each of the 20 plies (Figure ).…”

Section: Numerical Studiesmentioning

confidence: 99%

An adaptive stochastic inverse solver for multiscale characterization of composite materials

Fish

McAuliffe

2016

Numerical Meth Engineering

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Summary We present an adaptive variant of the measure‐theoretic approach for stochastic characterization of micromechanical properties based on the observations of quantities of interest at the coarse (macro) scale. The salient features of the proposed nonintrusive stochastic inverse solver are identification of a nearly optimal sampling domain using enhanced ant colony optimization algorithm for multiscale problems, incremental Latin‐hypercube sampling method, adaptive discretization of the parameter and observation spaces, and adaptive selection of number of samples. A complete test data of the TORAY T700GC‐12K‐31E and epoxy #2510 material system from the National Institute for Aviation Research report is employed to characterize and validate the proposed adaptive nonintrusive stochastic inverse algorithm for various unnotched and open‐hole laminates. Copyright © 2016 John Wiley & Sons, Ltd.

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Nonlinear multiphysics finite element code architecture in object oriented Fortran environment

Cited by 11 publications

References 35 publications

A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials

A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials

A coupled thermo‐chemo‐mechanical reduced‐order multiscale model for predicting process‐induced distortions, residual stresses, and strength

An adaptive stochastic inverse solver for multiscale characterization of composite materials

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