Topology optimization of elasto-plastic structures under reliability constraints: A first order approach

Tauzowski, Piotr; Błachowski, Bartłomiej; Lógó, János

doi:10.1016/j.compstruc.2020.106406

Cited by 29 publications

(14 citation statements)

References 67 publications

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“…Also, for validation, the results of the current study have been verified by already available published results of literature, such as [24][25]. Some relevant papers on reliability can be found in Movahedi Rad [26], Lógó et al [27] and Kaveh et al [28], Tauzowski et al [29], Blachowski et al [30].…”

Section: Introductionsupporting

confidence: 73%

Optimization of Slope Critical Surfaces Considering Seepage and Seismic Effects Using Finite Element Method and Five Meta-Heuristic Algorithms

Kaveh

Seddighian

2020

Period. Polytech. Civil Eng.

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One of the most crucial geotechnical engineering problems is the stability of slopes that are still attracting scientists and engineers. In this study, five recently developed meta-heuristic methods are utilized to determine the Critical Failure Surface (CFS) and its corresponding Factor of Safety (FOS). Through the FOS calculations, the Finite Element Method (FEM) is employed to convert the strong form of the main differential equation to a weak form. Additional to the general loading, seismic forces and seepage effect are considered, as well. Finally, the proposed optimization procedure is applied to numerical benchmark examples, and results are compared with other methods.

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Section: Introductionsupporting

confidence: 73%

Optimization of Slope Critical Surfaces Considering Seepage and Seismic Effects Using Finite Element Method and Five Meta-Heuristic Algorithms

Kaveh

Seddighian

2020

Period. Polytech. Civil Eng.

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“…Li et al 33 proposed a multi-material topology optimization which can conform multiple plasticity as well as multiple hardening models in composite structures. Linearly elastic and perfectly plastic material models of structural topology optimization have been investigated by 34 to find the optimum solution of a structure according to a given load. Boissier et al 35 investigated the influence of elasto-plastic shakedown constraints by integrated into structural topology optimization framework.…”

Section: Introductionmentioning

confidence: 99%

Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material

Habashneh

Rad

2022

Sci Rep

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The aim of this paper is to integrate the reliability-based analysis into topology optimization problems. Consequently, reliability-based topology optimization (RBTO) of geometrically nonlinear elasto-plastic models is presented. For purpose of performing (RBTO), the volume fraction is considered reliable since that the application of (RBTO) gives different topology in comparison to the deterministic topology optimization. The effects of changing the prescribed total structural volume constraint for deterministic designs and changing the reliability index for probabilistic designs are considered. Reliability index works as a constraint which is related to reliability condition added into the volume fraction and it is calculated using the Monte-Carlo simulation approach in the case of probabilistic design. In addition, bi-directional evolutionary structural optimization (BESO) method is utilized to study the effect of geometrically nonlinear elasto-plastic design. The plastic behavior can be controlled by defining a limit on the plastic limit load multipliers. The suggested work's efficiency is demonstrated via a 2D benchmark problem. In case of elastic material, a 2D model of U-shape plate is used for probabilistic design of linear and geometrically nonlinear topology optimizations. Furthermore, a 2D elasto-plastic model is considered for reliability-based design to demonstrate that the suggested approach can determine the best topological solution.

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“…Recently, Yin et al [17] developed an efficient approach for the structural lightweight design of planar continuum structures. In addition, Tauzowski et al [18] developed a first order approach for elasto-plastic structures under reliability constraints.…”

Section: Introductionmentioning

confidence: 99%

Reverse Versus Inverse Optimum Safety Factor Approaches for Reliability-based Topology Optimization

2022

Int J Addit Manuf Struct

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Objective:The purpose of this study is to develop new reliability-based topology optimization (RBTO) approaches in order to develop new topology layouts, which will improve the structure rigidity and improve reliability levels as compared to previous RBTO layouts (or approaches).Methods: There are two ways in which deterministic topology optimization problems can be categorized: objective-based approach (OBA) and performance-based approach (PBA). The RBTO problems consist of performing the OBA and PBA under reliability constraints. In addition, the different developments of RBTO in literature can be divided into two groups. Developments from a topology optimization standpoint are considered to be the first group, while developments from a reliability analysis standpoint are considered to be the second group. Considering these two topology optimization methods (OBA and PBA) and both RBTO perspectives, reverse optimal safety factor (ROSF) approaches are established in this study with the objective of producing several layouts with increasing rigidity levels. Additionally, these developed approaches combine the advantages of both perspectives. As part of the development of ROSF approaches, optimality conditions are used to demonstrate the robustness of expanded formulations in obtaining local optima. Results:In this paper, the proposed RBTO approaches are applied to a 2D bicycle frame structure. Despite both ROSF and inverse optimum safety factor (IOSF) methodologies leading to several layouts, ROSF approaches always yield layouts with higher rigidity (or lower compliance) levels. In other words, the proposed approaches result in more rigid structures than previous approaches. A sensitivity study demonstrates that geometrical parameters have a significant impact on structural compliance (rigidity). Lastly, it should be noted that ignoring the geometry variability has no significant effect on the layouts. Conclusion:With the proposed methods, the designer is able to produce more layouts with increasing rigidity levels as the reliability level increases. By doing so, it is possible to collect the advantages of the different existing methods described in the literature.

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Topology optimization of elasto-plastic structures under reliability constraints: A first order approach

Cited by 29 publications

References 67 publications

Optimization of Slope Critical Surfaces Considering Seepage and Seismic Effects Using Finite Element Method and Five Meta-Heuristic Algorithms

Optimization of Slope Critical Surfaces Considering Seepage and Seismic Effects Using Finite Element Method and Five Meta-Heuristic Algorithms

Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material

Reverse Versus Inverse Optimum Safety Factor Approaches for Reliability-based Topology Optimization

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