Interval field model and interval finite element analysis
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Publication:2175269
DOI10.1016/j.cma.2019.112713zbMath1441.74268OpenAlexW3028896056MaRDI QIDQ2175269
Publication date: 29 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2019.112713
spatial uncertaintyinterval finite element methodinterval field modelinterval Karhunen-Loève expansion
Random fields (60G60) Factor analysis and principal components; correspondence analysis (62H25) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Random materials and composite materials (74A40)
Related Items (9)
Novel data-driven method for non-probabilistic uncertainty analysis of engineering structures based on ellipsoid model ⋮ Interval arithmetic in modeling and solving Laplace's equation problems with uncertainly defined boundary shape ⋮ The \textit{a posteriori} finite element method (APFEM), a framework for efficient parametric study and Bayesian inferences ⋮ Flexural wave bandgap properties of phononic crystal beams with interval parameters ⋮ Novel Nonprobabilistic Bayesian Uncertainty Quantification Method for Structures with Interval Parameters ⋮ The strategy of modeling and solving the problems described by Laplace's equation with uncertainly defined boundary shape and boundary conditions ⋮ Novel numerical method for uncertainty analysis of coupled vibro-acoustic problem considering thermal stress ⋮ Inhomogeneous interval fields based on scaled inverse distance weighting interpolation ⋮ Dynamic load identification for interval structures under a presupposition of `being included prior to being measured'
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Cites Work
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- Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model
- Numerical methods for the discretization of random fields by means of the Karhunen-Loève expansion
- The stochastic finite element method: past, present and future
- Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique
- Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models
- Non-probabilistic convex model process: a new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems
- Static response bounds of Timoshenko beams with spatially varying interval uncertainties
- A survey of non-probabilistic uncertainty treatment in finite element analysis
- Interval finite elements as a basis for generalized models of uncertainty in engineering mechanics
- Linear systems with large uncertainties, with applications to truss structures
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- On the solution of interval linear systems
- Fuzzy sets as a basis for a theory of possibility
- Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
- A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters.
- Interval finite element method for beam structures
- Time-dependent reliability modeling and analysis method for mechanics based on convex process
- Derivation of multi-dimensional ellipsoid convex model for experimental data
- An efficient epistemic uncertainty analysis method using evidence theory
- Discussions on non-probabilistic convex modelling for uncertain problems
- A fuzzy procedure for the static design of imprecise structures
- Interval fields to represent uncertainty on the output side of a static FE analysis
- Exact bounds for the static response set of structures with uncertain-but-bounded parameters
- Convex model and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures
- Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions
- Multidimensional parallelepiped model-a new type of non-probabilistic convex model for structural uncertainty analysis
- Random field finite elements
- On the numerical expansion of a second order stochastic process
- Nonprobabilistic, convex-theoretic modeling of scatter in material properties
- The Numerical Solution of Integral Equations of the Second Kind
- The Rayleigh quotient iteration method for computing eigenvalue bounds of structures with bounded uncertain parameters
- Fuzzy sets
- On Solving Systems of Equations Using Interval Arithmetic
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