Stress-based shape and topology optimization with the level set method

Picelli, Renato; Townsend, Scott; Brampton, Christopher J.; Norato, Julián A.; Kim, H. A.

doi:10.1016/j.cma.2017.09.001

Cited by 177 publications

(71 citation statements)

References 41 publications

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“…In this paper, the numerical scheme is briefly outlined. Interested readers are referred to Picelli et al [54] and Sivapuram et al [53] for further details.…”

Section: Level-set Topology Optimizationmentioning

confidence: 99%

Level-set topology optimization considering nonlinear thermoelasticity

Chung

Kim

2020

Computer Methods in Applied Mechanics and Engineering

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At elevated temperature environments, elastic structures experience a change of the stress-free state of the body that can strongly influence the optimal topology of the structure. This work presents level-set based topology optimization of structures undergoing large deformations due to thermal and mechanical loads. The nonlinear analysis model is constructed by multiplicatively decomposing thermal and mechanical effects and introducing an intermediate stress-free state between the undeformed and deformed coordinates. By incorporating the thermoelastic nonlinearity into the level-set topology optimization scheme, wider design spaces can be explored with the consideration of both mechanical and thermal loads. Four numerical examples are presented that demonstrate how temperature changes affect the optimal design of large-deforming structures. In particular, we show how optimization can manipulate the material layout in order to create a counteracting effect between thermal and mechanical loads, even up to a degree that buckling and snap-through are suppressed. Hence the consideration of large deformations in conjunction with thermoelasticity opens many new possibilities for controlling and manipulating the thermo-mechanical response via topology optimization.

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“…In this paper, the numerical scheme is briefly outlined. Interested readers are referred to Picelli et al [54] and Sivapuram et al [53] for further details.…”

Section: Level-set Topology Optimizationmentioning

confidence: 99%

Level-set topology optimization considering nonlinear thermoelasticity

Chung

Kim

2020

Computer Methods in Applied Mechanics and Engineering

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“…Sensitivity analysis of the latter is carried out based on the adjoint method. In 2018, Picelli et al [81] proposed a horizontal set method to solve the problem of minimum stress and stress-constrained shape and topology optimization. This method solved the sub-optimization problem in each iteration in order to obtain the best boundary velocity.…”

Section: Topology Lightweightmentioning

confidence: 99%

Lightweight Research in Engineering: A Review

Jiao

et al. 2019

Applied Sciences

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In the field of mechanical equipment manufacturing, the focus of research and development is not on weight reduction, but on how to choose between the rigidity and performance of components (such as strength or flexibility). For this contradiction, lightweight is one of the best solutions. The problems associated with lightweight were initially considered and systematically studied in aircraft manufacturing in engineering. Therefore, lightweight has been greatly developed in aviation research and has played an increasingly important role in construction machinery. This paper presents a brief description of the current status of lightweight in machinery by reviewing some significant progress made in the last decades. Potential research topics are also discussed from the four aspects of material, structure, bionics, and manufacturing, and they forecast the development trend of lightweight in the future construction machinery. The entire body of literature about the field is not covered due to the limitation of the length of paper. The scope of this review is limited and closely related to the development of lightweight technology in engineering applications.

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“…The use of an aggregation function, such as the popular KS function (Kreisselmeier and Steinhauser 1980), also alleviates the issue, since when aggregated, the order of eigenvalues is unimportant. Such aggregation techniques are common in stress-based topology optimization (Verbart et al 2017;Picelli et al 2018) and have begun to find application in buckling load control (Ferrari and Sigmund 2018;Chin and Kennedy 2016;Stanford 2017). Judicious choice of the aggregation function parameters allows one to obtain a smooth lower bound to λ 1 , provided an adequate number of buckling modes are computed.…”

Section: Introductionmentioning

confidence: 99%

A level set topology optimization method for the buckling of shell structures

Townsend

Kim

2019

Struct Multidisc Optim

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Shell structures are some of the most widely used in engineering applications. Flat plates, stiffened panels, and wing ribs are each examples of components for which the design features may be dictated by the critical buckling load. Despite this practical significance, there exists only a handful of studies in the literature documenting applications of topology optimization which consider buckling performance. This is due to several issues innate to this domain, including mode switching, spurious behavior in void regions, and the presence of repeated eigenvalues. Herein, we propose a level set method capable of effectively optimizing structures despite these challenges in the context of linear buckling. We demonstrate the usefulness of such in the design of several common shell structures and explore the trade-off between stiffness and buckling load performance.

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Stress-based shape and topology optimization with the level set method

Cited by 177 publications

References 41 publications

Level-set topology optimization considering nonlinear thermoelasticity

Level-set topology optimization considering nonlinear thermoelasticity

Lightweight Research in Engineering: A Review

A level set topology optimization method for the buckling of shell structures

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