Topology optimization for stability problems of submerged structures using the TOBS method

Silva, Simone Pedro da; Sivapuram, Raghavendra; Rodríguez, René Quispe; Sampaio, Misako U.; Picelli, Renato

doi:10.1016/j.compstruc.2021.106685

Cited by 10 publications

(9 citation statements)

References 83 publications

(117 reference statements)

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“…Here ψ is the relaxation parameter, which in this work is defined as 10 times the stress limit for a solid unit cell using (11), i.e. ψ = 10 σk (1).…”

Section: Microstructure Buckling Stress Limitsmentioning

confidence: 99%

“…Using the interpolated stress limits defined by (11), the density dependent Willam-Warnke failure surface is defined using the unified approach from [35] in terms of the equivalent stress, σ eq (ρ m j , x j ), given as…”

Section: Willam-warnke Failure Surfacementioning

confidence: 99%

“…An extension of this is the work in [10], where buckling resistance and local ductile failure constraints are combined. Furthermore, the work in [11] considers singlescale buckling optimization, using the Topology Optimization of Binary Structures (TOBS) method, subject to design dependent pressure loads. This method is limited to singlescale optimization due to the binary nature of the TOBS method.…”

Section: Introductionmentioning

confidence: 99%

“…(12) marked by the dashed red line. The solid blue line is the fit of Eq (11). to the data points, marked by black points, obtained using Bloch-Floquet-based cell analysis.…”

mentioning

confidence: 99%

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Topology optimization of multiscale structures considering local and global buckling response

Christensen

Wang

Sigmund

2023

Computer Methods in Applied Mechanics and Engineering

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“…Here ψ is the relaxation parameter, which in this work is defined as 10 times the stress limit for a solid unit cell using (11), i.e. ψ = 10 σk (1).…”

Section: Microstructure Buckling Stress Limitsmentioning

confidence: 99%

Section: Willam-warnke Failure Surfacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…(12) marked by the dashed red line. The solid blue line is the fit of Eq (11). to the data points, marked by black points, obtained using Bloch-Floquet-based cell analysis.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Topology optimization of multiscale structures considering local and global buckling response

Christensen

Wang

Sigmund

2023

Computer Methods in Applied Mechanics and Engineering

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“…Topology optimization has been widely applied to various engineering field such as submerged, aeronautics and automobile structures, due to significant improvement of structural performance [1][2][3]. In the past four decades, many gradient-or heuristic-based optimization methods have been developed, including Homogenization, Density, Level Set, Evolutionary Structural Optimization (ESO) and a Bidirectional Version of ESO (BESO) [4].…”

Section: Introductionmentioning

confidence: 99%

A Smooth Bidirectional Evolutionary Structural Optimization of Vibrational Structures for Natural Frequency and Dynamic Compliance

Teng¹,

Li²,

Jiang³

2023

Computer Modeling in Engineering &Amp; Sciences

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A smooth bidirectional evolutionary structural optimization (SBESO), as a bidirectional version of SESO is proposed to solve the topological optimization of vibrating continuum structures for natural frequencies and dynamic compliance under the transient load. A weighted function is introduced to regulate the mass and stiffness matrix of an element, which has the inefficient element gradually removed from the design domain as if it were undergoing damage. Aiming at maximizing the natural frequency of a structure, the frequency optimization formulation is proposed using the SBESO technique. The effects of various weight functions including constant, linear and sine functions on structural optimization are compared. With the equivalent static load (ESL) method, the dynamic stiffness optimization of a structure is formulated by the SBESO technique. Numerical examples show that compared with the classic BESO method, the SBESO method can efficiently suppress the excessive element deletion by adjusting the element deletion rate and weight function. It is also found that the proposed SBESO technique can obtain an efficient configuration and smooth boundary and demonstrate the advantages over the classic BESO technique.

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Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model

2023

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The ambition to develop simulation methods making it possible to predict the integrity or the properties of use (mechanical, diffusive, thermal, electromagnetic, vibratory, etc.) of structures (industrial or natural), materials or processes involved in the development of new advanced technologies is growing consistently. In a global context of permanent development of advanced technologies (notably in the field of energy) and a growing need for cost reduction, the development times for new concepts are increasingly reduced and therefore tend to exclude monolithic design of multiphysic structures. Here, we propose an homogenization based topology optimization method to design multi-scale and multiphysic structures experiencing fluid-pressure loads. Its effect is to allow for micro-perforated composite as admissible designs, where the design is characterized by the material density and its homogenized Hooke's law at each point of the working space, yielding composite designs made of fine mixture between the solid and void phases. The fluid-pressure loads is determined using Biot-Darcy's law and solved using the finite element method. This approach permits a computationally low cost of evaluation of of load sensitivities using the Lagrangian method. As no assumption is impose on the number of micro-perforation inside the solid domain, this method can be seen as a topology optimization algorithm. We seek minimizers of the elastic compliances, fluid-elastic compliances and of the weight of a solid structure under fluid-pressure loads.

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Topology optimization for stability problems of submerged structures using the TOBS method

Cited by 10 publications

References 83 publications

Topology optimization of multiscale structures considering local and global buckling response

Topology optimization of multiscale structures considering local and global buckling response

A Smooth Bidirectional Evolutionary Structural Optimization of Vibrational Structures for Natural Frequency and Dynamic Compliance

Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model

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