Evolutionary Topology Optimization of Continuum Structures

Huang, Xiaodong; Xie, Yi Min

doi:10.1002/9780470689486

Cited by 507 publications

(386 citation statements)

References 4 publications

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“…The concept of topological derivatives is that undesired computational nodes are explicitly removed. The most well-known 'hard-kill' method in topology optimization is the evolutionary structural optimization (ESO) [16] and, more recently, the bi-directional evolutionary structural optimization (BESO) [17]. BESO is differentiated from ESO in a way that ESO only allows for the removal of elements while BESO allows for both the addition and removal of elements that represent the presence or absence of a material based on an 'optimization Result for a truss problem reflecting generated microstructures [14].…”

Section: 'Hard-kill' Methodsmentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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Topology optimization is proving to be a valuable design tool for physical systems, especially for structural systems. However, its application in the field of heat transfer is less evident but is constantly progressing. In this chapter, we would like to introduce topology optimization in the context of heat exchanger design to the general reader. We also provide a chronological review of available literature to see the current progress of topology optimization in the field of heat transfer and heat exchanger design. We expect that topology optimization will prove to be a valuable tool in heat exchanger design for the coming years.

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Section: 'Hard-kill' Methodsmentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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“…Solving the above equation, the elemental sensitivity numbers for nonlinear structures under force control are obtained as the total elemental elastic and plastic strain energy, E n e (Huang and Xie 2010). This can be used in BESO as the criterion for element removal and addition to find the solution for stiffness optimization of nonlinear structures.…”

Section: Objective Function and Structural Performance Criteriamentioning

confidence: 99%

“…This beam has been used as a test case in previous studies, implementing SIMP (Buhl, Pedersen, and Sigmund 2000) and BESO (Huang and Xie 2010), allowing comparison of the Iso-XFEM solutions with the other two methods. The cantilever plate was 1 m in length, 0.25 m in width and 0.1 m in thickness, and was subjected to a concentrated load at the middle of the free end.…”

Section: Test Case 1: Nonlinear Cantilever Platementioning

confidence: 99%

“…To increase the stability of the Iso-XFEM method applied to geometrically nonlinear problems, a similar filter scheme to the one used for BESO (Huang and Xie 2010) and SIMP (Sigmund 2001) can be employed. Here, the purpose of the filter is to smooth the structural performance distribution over the design domain by averaging the nodal values of structural performance with those of neighbouring nodes.…”

Section: Filter Scheme For Iso-xfemmentioning

confidence: 99%

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Topology optimization of geometrically nonlinear structures using an evolutionary optimization method

Abdi

Ashcroft

Wildman

2018

Engineering Optimization

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. ABSTRACTThe topology optimization using isolines/isosurfaces and extended finite element method (Iso-XFEM) is an evolutionary optimization method developed in previous studies to enable the generation of high-resolution topology optimized designs suitable for additive manufacture. Conventional approaches for topology optimization require additional postprocessing after optimization to generate a manufacturable topology with clearly defined smooth boundaries. Iso-XFEM aims to eliminate this timeconsuming post-processing stage by defining the boundaries using isovalues of a structural performance criterion and an extended finite element method (XFEM) scheme. In this article, the Iso-XFEM method is further developed to enable the topology optimization of geometrically nonlinear structures undergoing large deformations. This is achieved by implementing a total Lagrangian finite element formulation and defining a structural performance criterion appropriate for the objective function of the optimization problem. The Iso-XFEM solutions for geometrically nonlinear test cases implementing linear and nonlinear modelling are compared, and the suitability of nonlinear modelling for the topology optimization of geometrically nonlinear structures is investigated. ARTICLE HISTORY

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“…The BESO process used in this paper is an iterative method to optimize the topology of a structure (Huang and Xie (2010); Huang et al (2006)). A finite element model was analysed at each iteration, corresponding to step 2 in Figure 1.…”

Section: Beso Optimization To Create High Energy Density Structuresmentioning

confidence: 99%

Implementing a structural continuity constraint and a halting method for the topology optimization of energy absorbers

Stojanov

Falzon

et al. 2016

Struct Multidisc Optim

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This study investigates topology optimization of energy absorbing structures in which material damage is accounted for in the optimization process. The optimization objective is to design the lightest structures that are able to absorb the required mechanical energy. A structural continuity constraint check is introduced that is able to detect when no feasible load path remains in the finite element model, usually as a result of large scale fracture. This assures that designs do not fail when loaded under the conditions prescribed in the design requirements. This continuity constraint check is automated and requires no intervention from the analyst once the optimization process is initiated. Consequently, the optimization algorithm proceeds towards evolving an energy absorbing structure with the minimum structural mass that is not susceptible to global structural failure. A method is also introduced to determine when the optimization process should halt. The method identifies when the optimization method has plateaued and is no longer likely to provide improved designs if continued for further iterations. This provides the designer with a rational method to determine the necessary time to run the optimization and avoid wasting computational resources on unnecessary iterations. A case study is presented to demonstrate the use of this method.

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Evolutionary Topology Optimization of Continuum Structures

Cited by 507 publications

References 4 publications

Heat Exchanger Design with Topology Optimization

Heat Exchanger Design with Topology Optimization

Topology optimization of geometrically nonlinear structures using an evolutionary optimization method

Implementing a structural continuity constraint and a halting method for the topology optimization of energy absorbers

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