Uncertainty propagation, entropy, and relative entropy in the homogenization of some particulate composites

DOI10.1002/nme.7259OpenAlexW4377967805MaRDI QIDQ6082567

Marcin Kaminski

Publication date: 30 November 2023

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.7259

zbMATH Keywords

finite element methodhomogenization methodprobabilistic entropyprobabilistic semi-analytical methoditerative generalized stochastic perturbation techniquerelative probabilistic entropy

Mathematics Subject Classification ID

Numerical and other methods in solid mechanics (74Sxx) Material properties given special treatment (74Exx) Homogenization, determination of effective properties in solid mechanics (74Qxx)

Cites Work

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• A Mathematical Theory of Communication
• Entropy propagation analysis in stochastic structural dynamics: application to a beam with uncertain cross sectional area
• Nonlinear buckling optimization of composite structures considering ``worst shape imperfections
• The stochastic finite element method: past, present and future
• Multiscale methods for composites: A review
• Kriging-based approximate stochastic homogenization analysis for composite materials
• On the relative entropy
• Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
• Sensitivity analysis of homogenized characteristics for some elastic composites.
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• Fast statistical homogenization procedure (FSHP) for particle random composites using virtual element method
• Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations
• Numerical evaluation of the representative volume element for random composites
• Functional approximation and projection of stored energy functions in computational homogenization of hyperelastic materials: a probabilistic perspective
• Determination of RVE size for random composites with local volume fraction variation
• Probabilistic entropy in homogenization of the periodic fiber-reinforced composites with random elastic parameters
• On the dual iterative stochastic perturbation-based finite element method in solid mechanics with Gaussian uncertainties
• PROBABILISTIC DESIGN OF AXIALLY COMPRESSED COMPOSITE CYLINDERS WITH GEOMETRIC AND LOADING IMPERFECTIONS
• A multi-scale spectral stochastic method for homogenization of multi-phase periodic composites with random material properties
• Computational damage mechanics for composite materials based on mathematical homogenization
• Microstructural disorder, mesoscale finite elements and macroscopic response
• The Stochastic Perturbation Method for Computational Mechanics
• Numerical homogenization ofN-component composites including stochastic interface defects
• Elements of Information Theory
• On Information and Sufficiency
• An invariant form for the prior probability in estimation problems

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