A perturbation method for stochastic meshless analysis in elastostatics
From MaRDI portal
Publication:2712696
DOI10.1002/nme.106zbMath1168.74471OpenAlexW2143040486MaRDI QIDQ2712696
B. Nageswara Rao, Sharif Rahman
Publication date: 6 May 2001
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.106
element-free Galerkin methodrandom fieldmoving least squaresmeshless methodstochastic finite elementfirst- and second-order perturbation methods
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (17)
A perturbation-based stochastic nonlinear beam element formulation using the B-spline wavelet on the interval finite element method ⋮ Stochastic isogeometric analysis on arbitrary multipatch domains by spline dimensional decomposition ⋮ Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates ⋮ Solving stochastic heat transfer problems ⋮ Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties ⋮ Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis ⋮ Stochastic isogeometric analysis in linear elasticity ⋮ Karhunen-Loève decomposition of random fields based on a hierarchical matrix approach ⋮ PINN-FORM: a new physics-informed neural network for reliability analysis with partial differential equation ⋮ An efficient dimension-adaptive uncertainty propagation approach ⋮ A GE/BC imbedded local polynomial collocation method for two dimensional multivariable problems ⋮ Stochastic meshfree method for elasto-plastic damage analysis ⋮ Proper orthogonal decomposition and Monte Carlo based isogeometric stochastic method for material, geometric and force multi-dimensional uncertainties ⋮ Isogeometric generalized \(n\)th order perturbation-based stochastic method for exact geometric modeling of (composite) structures: static and dynamic analysis with random material parameters ⋮ An improved response function based stochastic meshless method for problems in elasto-statics ⋮ Stochastic isogeometric analysis of free vibration of functionally graded plates considering material randomness ⋮ Robust design of nonlinear structures using optimization methods
Cites Work
- Unnamed Item
- Unnamed Item
- An introduction to SPH
- Inversion of stochastic partial differential operators - the linear case
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- High strain Lagrangian hydrodynamics. A three-dimensional SPH code for dynamic material response
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- The partition of unity finite element method: basic theory and applications
- New boundary condition treatments in meshfree computation of contact problems
- An efficient meshless method for fracture analysis of cracks
- A new implementation of the element free Galerkin method
- Random field finite elements
- Element‐free Galerkin methods
- Reproducing kernel particle methods
- Monte Carlo Solution of Nonlinear Vibrations
This page was built for publication: A perturbation method for stochastic meshless analysis in elastostatics