2016
DOI: 10.1002/nme.5341
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An adaptive stochastic inverse solver for multiscale characterization of composite materials

Abstract: 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 obse… Show more

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Cited by 9 publications
(7 citation statements)
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“…Here, the equation 1expresses the curing law to be used. The equation (2) and equation 3represent isotropic curing and transfer curing, respectively. At this time, K 0 is the initial yield stress, K ∞ is the tensile strength, α is the cumulative plastic strain, δ is the exponential part of the evolution law, and θ is the transfer hardening.…”
Section: Inelastic Modelmentioning
confidence: 99%
“…Here, the equation 1expresses the curing law to be used. The equation (2) and equation 3represent isotropic curing and transfer curing, respectively. At this time, K 0 is the initial yield stress, K ∞ is the tensile strength, α is the cumulative plastic strain, δ is the exponential part of the evolution law, and θ is the transfer hardening.…”
Section: Inelastic Modelmentioning
confidence: 99%
“…Algorithm 1 describes a nonintrusive sample-based approach to approximating pullback measures, which proceeds in four stages defined by four separate non-nested for-loops and uses the standard Ansatz. There is a more recently developed algorithm for solving this type of inverse problem applied to multiscale characterization of composite materials, 49 but we focus on the plain version of the algorithm to focus our attention on the accuracy of the surrogate. We note that Algorithm 1 applies to any discretizing set of samples in no matter how the samples are generated.…”
Section: Appendix a Computational Algorithm For Constructing Pullbackmentioning
confidence: 99%
“…In (Wu, Adam, and Noels, 2018), a Mori-Tanaka elastic model was employed. Regarding strength properties a nonlinear solver and an optimization scheme for the solution of the inverse problem was proposed in (Hu, Fish, and McAuliffe, 2017), while a Bayesian framework based on FE homogenization was presented in (Mustafa, Suleman, and Crawford, 2018). However, the added numerical cost for nonlinear predictions is an issue which has only been moderately addressed, considering also that stochastic inverse problems require more model evaluations than forward uncertainty cases.…”
Section: Probabilistic Modelingmentioning
confidence: 99%