[HTML][HTML] Topology optimization of additive-manufactured metamaterial structures: A review focused on multi-material types

SM Esfarjani, A Dadashi, M Azadi - Forces in Mechanics, 2022 - Elsevier
Topology optimization is one common technique for structural optimization methods, in
which the optimal spatial distribution of structural materials or structural parts could be …

Introducing loading uncertainty in topology optimization

PD Dunning, HA Kim, G Mullineux - AIAA journal, 2011 - arc.aiaa.org
THE world is full of uncertainties and structures need to be designed and optimized to be
robust and reliable when operating in an uncertain environment. The traditional engineering …

Robust topology optimization: minimization of expected and variance of compliance

PD Dunning, HA Kim - AIAA journal, 2013 - arc.aiaa.org
Robust topology optimization has long been considered computationally intractable as it
combines two highly expensive computational strategies. This paper considers …

Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices

J Zhao, C Wang - Computer Methods in Applied Mechanics and …, 2014 - Elsevier
This paper proposes an efficient approach to solving robust topology optimization problem
of structures under loading uncertainty. The objective is to minimize a weighted sum of the …

[HTML][HTML] Robust topology optimization for multi-material structures under interval uncertainty

Y Zheng, D Da, H Li, M **ao, L Gao - Applied Mathematical Modelling, 2020 - Elsevier
In this paper, we propose an efficient method to design robust multi-material structures
under interval loading uncertainty. The objective of this study is to minimize the structural …

[HTML][HTML] Robust topology optimization of structures under uncertain propagation of imprecise stochastic-based uncertain field

K Gao, DM Do, S Chu, G Wu, HA Kim… - Thin-Walled …, 2022 - Elsevier
This study introduces a novel computational framework for Robust Topology Optimization
(RTO) considering imprecise random field parameters. Unlike the worst-case approach, the …

Robust topology optimization of multi-material lattice structures under material and load uncertainties

YC Chan, K Shintani, W Chen - Frontiers of Mechanical Engineering, 2019 - Springer
Enabled by advancements in multi-material additive manufacturing, lightweight lattice
structures consisting of networks of periodic unit cells have gained popularity due to their …

Topology optimization under uncertainty using a stochastic gradient-based approach

S De, J Hampton, K Maute, A Doostan - Structural and Multidisciplinary …, 2020 - Springer
Topology optimization under uncertainty (TOuU) often defines objectives and constraints by
statistical moments of geometric and physical quantities of interest. Most traditional TOuU …

Shape optimization under uncertainty—a stochastic programming perspective

S Conti, H Held, M Pach, M Rumpf, R Schultz - SIAM Journal on Optimization, 2009 - SIAM
We present an algorithm for shape optimization under stochastic loading and representative
numerical results. Our strategy builds upon a combination of techniques from two-stage …

Robust structural topology optimization under random field loading uncertainty

J Zhao, C Wang - Structural and Multidisciplinary Optimization, 2014 - Springer
A new approach to solving the robust topology optimization problem considering random
field loading uncertainty was developed. The Karhunen-Loeve expansion was employed to …