A Statistical Framework for Generating Microstructures of Two-Phase Random Materials: Application to Fatigue Analysis

DOI10.1137/19M1259286zbMath1435.82032arXiv1907.02412MaRDI QIDQ5222113

Le Tallec, Patrick, Andrei Constantinescu, J. Tinsley Oden, Ustim Khristenko, Barbara I. Wohlmuth

Publication date: 31 March 2020

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02412

zbMATH Keywords

random heterogeneous materialuncertainty quantificationfatigue analysisMatérn covariancetwo-phase materialGaussian level-set

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Bayesian inference (62F15) Monte Carlo methods (65C05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Numerical methods for discrete and fast Fourier transforms (65T50) Monte Carlo methods applied to problems in statistical mechanics (82M31)

Related Items (3)

An adaptive sampling augmented Lagrangian method for stochastic optimization with deterministic constraints ⋮ Uncertainty quantification of microstructure variability and mechanical behavior of additively manufactured lattice structures ⋮ Quantifying the effect of two-point correlations on the effective elasticity of specific classes of random porous materials with and without connectivity

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