Risk-averse structural topology optimization under random fields using stochastic expansion methods
DOI10.1016/j.cma.2017.10.026zbMath1439.74292OpenAlexW2767441738MaRDI QIDQ2310201
Mathieu Kessler, David Herrero-Pérez, Francisco Periago, Jesús Martínez-Frutos
Publication date: 6 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.2017.10.026
random fieldslevel-set methodexistence theorymaterial uncertaintyrisk-averse topology optimizationstochastic expansion methods
Random fields (60G60) Topological methods for optimization problems in solid mechanics (74P15) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)
Related Items (8)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Risk averse elastic shape optimization with parametrized fine scale geometry
- Level set based robust shape and topology optimization under random field uncertainties
- Topology optimization considering material and geometric uncertainties using stochastic collocation methods
- Robust topology optimization accounting for spatially varying manufacturing errors
- Topology optimization of continuum structures under uncertainty - A polynomial chaos approach
- Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices
- Worst-case shape optimization for the Dirichlet energy
- Adaptive sparse polynomial chaos expansion based on least angle regression
- The stochastic finite element method: past, present and future
- Principal compliance and robust optimal design
- A survey of non-probabilistic uncertainty treatment in finite element analysis
- Optimal treatment of structures
- Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- On the existence of a solution in a domain identification problem
- Structural optimization using sensitivity analysis and a level-set method.
- Stochastic topology design optimization for continuous elastic materials
- A level set method for structural topology optimization.
- Topology optimization under uncertainty via non-intrusive polynomial chaos expansion
- Gradient based design optimization under uncertainty via stochastic expansion methods
- Robust shape optimization of continuous structures via the level set method
- Variation and optimization of formes. A geometric analysis
- Reliability-based shape optimization of structures undergoing fluid--structure interaction phenomena
- Computational methods in optimization considering uncertainties - An overview
- A linearized approach to worst-case design in parametric and geometric shape optimization
- An Introduction to Computational Stochastic PDEs
- Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides
- Risk Averse Shape Optimization
- ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS
- Computing quantities of interest for random domains with second order shape sensitivity analysis
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Shape Optimization Under Uncertainty—A Stochastic Programming Perspective
- Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
- Reliability-based shape optimization of two-dimensional elastic problems using BEM
- A deterministic approximation method in shape optimization under random uncertainties
- Shape and topology optimization of the robust complianceviathe level set method
- High-Order Collocation Methods for Differential Equations with Random Inputs
- On Information and Sufficiency
This page was built for publication: Risk-averse structural topology optimization under random fields using stochastic expansion methods