Topology optimization of structures considering local material uncertainties in additive manufacturing

B Liu, C Jiang, G Li, X Huang - Computer Methods in Applied Mechanics …, 2020 - Elsevier
Additive manufacturing provides more freedom for the design of structures but also exhibits
prominent local uncertainties of material properties, which bring potential challenges. The …

A generalized approach for robust topology optimization using the first-order second-moment method for arbitrary response functions

M Kranz, JK Lüdeker, B Kriegesmann - Structural and multidisciplinary …, 2023 - Springer
The paper presents a rigorous formulation of adjoint systems to be solved for a robust
design optimization using the first-order second-moment method. This formulation allows to …

Imposition of essential boundary conditions in the material point method

M Cortis, W Coombs, C Augarde… - International Journal …, 2018 - Wiley Online Library
There is increasing interest in the material point method (MPM) as a means of modelling
solid mechanics problems in which very large deformations occur, eg in the study of …

Topology optimization of continuum structures with stress constraints and uncertainties in loading

GA Da Silva, AT Beck… - International journal for …, 2018 - Wiley Online Library
Topology optimization using stress constraints and considering uncertainties is a serious
challenge, since a reliability problem has to be solved for each stress constraint, for each …

Stress-based topology optimization of continuum structures under uncertainties

GA Da Silva, EL Cardoso - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
This work addresses the use of the topology optimization approach to the design of
continuum structures with failure constraints under the hypothesis of uncertainties in the …

Robust adaptive topology optimization of porous infills under loading uncertainties

VN Hoang, T Pham, S Tangaramvong… - Structural and …, 2021 - Springer
The majority of topology optimization methods for porous infill designs is based on the
assumption of deterministic loads. However, in practice, quantities such as positions …

Robust topology optimization of continuum structures under uncertain partial collapses

J Martínez-Frutos, R Ortigosa - Computers & Structures, 2021 - Elsevier
This paper presents a novel probabilistic approach for fail-safe robust topology optimization
with the following novelties:(1) the probability for failure to occur at a specified location is …

Stress optimization of smooth continuum structures based on the distortion strain energy density

B Liu, D Guo, C Jiang, G Li, X Huang - Computer Methods in Applied …, 2019 - Elsevier
This paper presents an evolutionary structural optimization method of designing continuum
structures with clear and smooth boundaries for stress minimization. The stress optimization …

Reliability-based topology optimization for structures using fuzzy set model

H Yin, D Yu, B **a - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
The conventional topology optimization considering uncertainties is based on the
probabilistic model. This paper proposes a new reliability-based topology optimization …

Topology optimization of phononic crystals with uncertainties

L **e, B **a, G Huang, J Lei, J Liu - Structural and Multidisciplinary …, 2017 - Springer
Topology optimization of phononic crystals (PnCs) is generally based on deterministic
models without considering effects of inherent uncertainties existed in PnCs. However …