Yield limited optimal topology design of elastoplastic structures

Błachowski, Bartłomiej; Tauzowski, Piotr; Lógó, János

doi:10.1007/s00158-019-02447-9

Cited by 27 publications

(12 citation statements)

References 64 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%

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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%

“…By considering a seismic pseudo-static stability analysis of slopes and applying an acceleration that creates inertia forces, Eqs. (30) and (31) can be defined.…”

Section: Fos Smentioning

confidence: 99%

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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“…Structural optimization of elasto-plastic structures has been investigated, among others, in [1,8,10,11,16]. A major difficulty in shape or topology optimization of elasto-plastic problems as the pathdependent problems is the sensitivity analysis [10].…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization of Elasto-Plastic Structures in Contact

Myśliński¹

2021

14th WCCM-ECCOMAS Congress

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This paper is concerned with the analysis as well as the numerical solution of the structural optimization problem for bilateral frictional contact problem where the static elasto-plastic material model with linear kinematic hardening rather than elastic material model is assumed. The displacement and stress of the bodies in elasto-plastic contact with a given friction are governed by the system of the coupled variational inequalities. In these problems usually very high stress appear along the surfaces in contact. It leads to wear or fatigue of the contacting surfaces. Therefore the aim of the topological optimization is to find such distribution of the material filling the body in contact to minimize the contact stress. Using von Mises yield function as well as the regularization and penalization techniques the original system of variational inequalities is transformed into the system of coupled nonlinear equations. The derivative of the cost functional with respect to the perturbation of the domain occupied by the body in contact is calculated using the material derivative method. Finite element method is used as the discretization method. In the numerical computations generalized Newton method is used to solve this contact problem. The level set method is used to describe and govern the evolution of the domain shape in the design space where the direction of the evolution is determined based on the calculated shape derivative. The results of computation are provided and discussed.

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“…Structural optimization, such as topology optimization [3][4][5], is one of the most studied research topics in engineering [6], and it has been attracted many research items. Since there is a limited number of existing resources in engineering design, designers attempt to find a solution fulfilling all requirements and have the lowest possible cost.…”

Section: Introductionmentioning

confidence: 99%

Discrete Optimum Design of Planar Steel Curved Roof and Pitched Roof Portal Frames Using Metaheuristic Algorithms

Kaveh

Dastjerdi

Zaerreza

et al. 2021

Period. Polytech. Civil Eng.

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Portal frames are single-story frame buildings including columns and rafters, and their rafters can be either curved or pitched. These are used widely in the construction of industrial buildings, warehouses, gyms, fire stations, agricultural buildings, hangars, etc. The construction cost of these frames considerably depends on their weight. In the present research, the discrete optimum design of two types of portal frames including planar steel Curved Roof Frame (CRF) and Pitched Roof Frame (PRF) with tapered I-section members are presented. The optimal design aims to minimize the weight of these frame structures while satisfying some design constraints based on the requirements of ANSI/AISC 360-16 and ASCE 7-10. Four population-based metaheuristic optimization algorithms are applied to the optimal design of these frames. These algorithms consist of Teaching-Learning-Based Optimization (TLBO), Enhanced Colliding Bodies Optimization (ECBO), Shuffled Shepherd Optimization Algorithm (SSOA), and Water Strider Algorithm (WSA). Two main objectives are followed in this paper. The first one deals with comparing the optimized weight of the CRF and PRF structures with the same dimensions for height and span in two different span lengths (16.0 m and 32.0 m), and the second one is related to comparing the performance of the considered metaheuristics in the optimum design of these portal frames. The obtained results reveal that CRF is more economical than PRF in the fair comparison. Moreover, comparing the results acquired by SSOA with those of other considered metaheuristics reveals that SSOA has better performance for the optimal design of these portal frames.

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Yield limited optimal topology design of elastoplastic structures

Cited by 27 publications

References 64 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

Topology Optimization of Elasto-Plastic Structures in Contact

Discrete Optimum Design of Planar Steel Curved Roof and Pitched Roof Portal Frames Using Metaheuristic Algorithms

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