Fuzzy-stochastic FEM-based homogenization framework for materials with polymorphic uncertainties in the microstructure
DOI10.1002/NME.5947zbMATH Open1548.74879MaRDI QIDQ6555212
Dmytro Pivovarov, P. Steinmann, Thomas Oberleiter, K. Willner
Publication date: 14 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
fuzzy numberscomputational homogenizationstochastic FEMgeometrical uncertaintiesstochastic local basis
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in equilibrium problems of solid mechanics (74Q05)
Cites Work
- Title not available (Why is that?)
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- Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties
- Practical application of the stochastic finite element method
- Extended stochastic FEM for diffusion problems with uncertain material interfaces
- Homogenization-based constitutive models for magnetorheological elastomers at finite strain
- XFEM modeling and homogenization of magnetoactive composites
- Generalized stochastic cell-based smoothed finite element method (GS\_CS-FEM) for solid mechanics
- Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials
- Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach
- A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties
- Homogenization of random heterogeneous media with inclusions of arbitrary shape modeled by XFEM
- Random homogenization analysis for heterogeneous materials with full randomness and correlation in microstructure based on finite element method and Monte-Carlo method
- A reduced spectral function approach for the stochastic finite element analysis
- The stochastic finite element method: past, present and future
- Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
- Stochastic homogenization analysis on elastic properties of fiber reinforced composites using the equivalent inclusion method and perturbation method
- Heaviside enriched extended stochastic FEM for problems with uncertain material interfaces
- Generalized spectral decomposition for stochastic nonlinear problems
- Simple estimation on effective transport properties of a random composite material with cylindrical fibres
- An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
- A multiscale stochastic finite element method on elliptic problems involving uncertainties
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- Fuzzy sets as a basis for a theory of possibility
- A computational approach to handle complex microstructure geometries.
- Stochastic finite element analysis of shells with combined random material and geometric properties.
- A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters.
- On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure
- Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs
- The transformation method for the simulation and analysis of systems with uncertain parameters
- A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters.
- Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions
- On solving elliptic stochastic partial differential equations
- Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure
- Comparative study of projection schemes for stochastic finite element analysis
- Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section
- A fuzzy-stochastic multiscale model for fiber composites, a one-dimensional study
- Determination of RVE size for random composites with local volume fraction variation
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
- A stochastic computational multiscale approach; application to MEMS resonators
- Multi-element stochastic reduced basis methods
- An extended stochastic finite element method for solving stochastic partial differential equations on random domains
- Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms
- Unified magnetomechanical homogenization framework with application to magnetorheological elastomers
- An X-FEM and level set computational approach for image-based modelling: Application to homogenization
- Uncertainty quantification in homogenization of heterogeneous microstructures modeled by XFEM
- Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems
- Higher-order extended FEM for weak discontinuities - level set representation, quadrature and application to magneto-mechanical problems
- Error estimation and model adaptation for a stochastic-deterministic coupling method based on the Arlequin framework
- Multiscale XFEM-modelling and simulation of the inelastic material behaviour of textile-reinforced polymers
- eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces
- Identification of random shapes from images through polynomial chaos expansion of random level set functions
- Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data
- Domain decomposition of stochastic PDEs: Theoretical formulations
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- UNCERTAINTY MODELING USING FUZZY ARITHMETIC BASED ON SPARSE GRIDS: APPLICATIONS TO DYNAMIC SYSTEMS
- The Stochastic Perturbation Method for Computational Mechanics
- Fuzzy sets
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- Solution of stochastic partial differential equations using Galerkin finite element techniques
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