Stochastic finite elements as a bridge between random material microstructure and global response

DOI10.1016/S0045-7825(98)00105-4zbMath0957.74055OpenAlexW2053912287WikidataQ127633870 ScholiaQ127633870MaRDI QIDQ1965188

Martin Ostoja-Starzewski, X. Sheldon Wang

Publication date: 25 March 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00105-4

zbMATH Keywords

effective modulistochastic finite element methodcomplementary energyglobal responseminimum potential energymesoscale finite elementmicrostructural material randomnessoptimal mesoscaletwo-phase Voronoi composite

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Random structure in solid mechanics (74E35)

Related Items (13)

Unified treatment of microscopic boundary conditions and efficient algorithms for estimating tangent operators of the homogenized behavior in the computational homogenization method ⋮ A stochastic computational multiscale approach; application to MEMS resonators ⋮ Implementation of the Multiscale Stochastic Finite Element Method on Elliptic PDE Problems ⋮ Determination of RVE size for random composites with local volume fraction variation ⋮ A micromechanical mean‐field homogenization surrogate for the stochastic multiscale analysis of composite materials failure ⋮ The stochastic finite element method: past, present and future ⋮ A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient ⋮ Homogenization of random heterogeneous media with inclusions of arbitrary shape modeled by XFEM ⋮ An inverse micro-mechanical analysis toward the stochastic homogenization of nonlinear random composites ⋮ ON SOLVING STOCHASTIC INITIAL-VALUE DIFFERENTIAL EQUATIONS ⋮ Stochastic finite element analysis of composite structures based on mesoscale random fields of material properties ⋮ A stochastic multi-scale approach for the modeling of thermo-elastic damping in micro-resonators ⋮ A multiscale stochastic finite element method on elliptic problems involving uncertainties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random field models of heterogeneous materials
• Fracture of random matrix-inclusion composites: Scale effects and statistics
• Micromechanically based stochastic finite elements
• Mixed and Hybrid Finite Element Methods

This page was built for publication: Stochastic finite elements as a bridge between random material microstructure and global response