A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity

DOI10.1002/nme.3307zbMath1242.74223OpenAlexW2096755340MaRDI QIDQ2894975

Roger G. Ghanem, M. Arnst

Publication date: 2 July 2012

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.3307

zbMATH Keywords

variational methodscontactfinite element methodsplasticitycollocationprobabilistic methods

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items

Propagation of mechanical waves through a stochastic medium with spherical symmetry, Variational theory and computations in stochastic plasticity, A nonlinear stochastic finite element method for solving elastoplastic problems with uncertainties, Semi-reduced order stochastic finite element methods for solving contact problems with uncertainties, A stochastic LATIN method for stochastic and parameterized elastoplastic analysis, Fokker-Planck linearization for non-Gaussian stochastic elastoplastic finite elements, A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics

Uses Software

• OPQ

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic variational inequalities for elasto-plastic oscillators
• Monte Carlo and quasi-Monte Carlo sampling methods for a class of stochastic mathematical programs with equilibrium constraints
• Mean convergence of Lagrange interpolation. II
• Plasticity. Mathematical theory and numerical analysis
• Sample-path solution of stochastic variational inequalities
• On solving elliptic stochastic partial differential equations
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• Numerical solution of spectral stochastic finite element systems
• On interpolation. I. Quadrature- and mean-convergence in the Lagrange- interpolation
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Three‐dimensional stochastic finite element method for elasto‐plastic bodies
• A Fixed Point Approach to Certain Convex Programs with Applications in Stochastic Programming
• A polynomial chaos approach to stochastic variational inequalities
• Protein labeling reactions in electrochemical microchannel flow: Numerical simulation and uncertainty propagation
• A class of random variational inequalities and simple random unilateral boundary value problems - existence, discretization, finite element approximation
• Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
• Analysis of Sample-Path Optimization
• Stochastic Approximation Approaches to the Stochastic Variational Inequality Problem
• Computational Contact Mechanics
• On a Class of Random Variational Inequalities on Random Sets
• Variational inequalities
• A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
• A stochastic projection method for fluid flow. I: Basic formulation