A survey of structural and multidisciplinary continuum topology optimization: post 2000

Deaton, Joshua D.; Grandhi, Ramana V.

doi:10.1007/s00158-013-0956-z

Cited by 1,101 publications

(538 citation statements)

References 377 publications

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“…Since its introduction three decades ago [1], this approach has been used to solve a wide variety of problems in various academic and industrial fields. For the recent advancements in TO, please see [2][3][4]. The so-called density-based formulation is the most popular both in academia and in commercial applications.…”

Section: Introductionmentioning

confidence: 99%

Bounds for decoupled design and analysis discretizations in topology optimization

Gupta

Veen

Aragón

et al. 2017

Numerical Meth Engineering

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SUMMARYTopology optimization formulations using multiple design variables per finite element have been proposed to improve the design resolution. This paper discusses the relation between the number of design variables per element and the order of the elements used for analysis. We derive that beyond a maximum number of design variables, certain sets of material distributions cannot be discriminated based on the corresponding analysis results. This makes the design description inefficient and the solution of the optimization problem non-unique. To prevent this, we establish bounds for the maximum number of design variables that can be used to describe the material distribution for any given finite element scheme without introducing nonuniqueness.

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Section: Introductionmentioning

confidence: 99%

Bounds for decoupled design and analysis discretizations in topology optimization

Gupta

Veen

Aragón

et al. 2017

Numerical Meth Engineering

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“…A comprehensive treatment of topology optimization can be found in a book by Bendsøe and Sigmund (2004). In-depth reviews and insights can be found in papers by Rozvany (2001Rozvany ( , 2009), Sigmund and Maute (2013), Deaton and Grandhi (2014). In general the subject of this paper falls into the category of design involving uncertainties, known generally as reliability based design optimization (RBDO).…”

Section: Introductionmentioning

confidence: 99%

Fail-safe topology optimization

Zhou

Fleury

2016

Struct Multidisc Optim

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Fail-safe robustness of critical load carrying structures is an important design philosophy for aerospace industry. The basic idea is that a structure should be designed to survive normal loading conditions when partial damage occurred. Such damage is quantified as complete failure of a structural member, or a partial damage of a larger structural part. In the context of topology optimization fail-safe consideration was first proposed by Jansen et al. Struct Multidiscip Optim 49(4):657-666, (2014). While their approach captures the essence of fail-safe requirement, it has two major shortcomings: (1) it involves analysis of a very large number of FEA models at the scale equal to the number of elements; (2) failure was introduced in generic terms and therefore the fundamental aspects of failure test of discrete members was not discussed. This paper aims at establishing a rigorous framework for failsafe topology optimization of general 3D structures, with the goal to develop a computationally viable solution for industrial applications. We demonstrate the effectiveness of the proposed approach on several examples including a 3D example with over three hundred thousand elements.

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“…Deaton and Grandhi (2014)). For example, the Solid Isotropic Material with Penalization (SIMP) method has been implemented in a number of commercial FE-based packages, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…However, in the study described by Cansizoglu et al (2008), additively manufactured designs were load tested, though it was found that the load test results did not completely match predictions. Another important issue is that although the solutions obtained using SIMP and other comparable continuum topology optimization techniques comprise continua, as pointed out by Deaton and Grandhi (2014), the solutions obtained are often only suitable for conceptual design purposes, and significant manual post-processing of the final solution is normally required in order to obtain a viable design solution; to address this new formulations capable of obtaining solutions which are closer to the final design are being actively investigated (e.g. Guo et al 2014).…”

Section: Introductionmentioning

confidence: 99%

Application of layout optimization to the design of additively manufactured metallic components

Gilbert

Todd

Derguti

2016

Struct Multidisc Optim

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Additive manufacturing ('3D printing') techniques provide engineers with unprecedented design freedoms, opening up the possibility for stronger and lighter component designs. In this paper 'layout optimization' is used to provide a reference volume and to identify potential design topologies for a given component, providing a useful alternative to continuum based topology optimization approaches (which normally require labour intensive post-processing in order to realise a practical component). Here simple rules are used to automatically transform a line structure layout into a 3D continuum. Two examples are considered: (i) a simple beam component subject to three-point bending; (ii) a more complex air-brake hinge component, designed for the Bloodhound supersonic car. These components were successfully additively manufactured using titanium Ti-6Al-4V, using the Electron Beam Melting (EBM) process. Also, to verify the efficacy of the process and the mechanical performance of the fabricated specimens, a total of 12 beam samples were load tested to failure, demonstrating that the target design load could successfully be met.

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A survey of structural and multidisciplinary continuum topology optimization: post 2000

Cited by 1,101 publications

References 377 publications

Bounds for decoupled design and analysis discretizations in topology optimization

Bounds for decoupled design and analysis discretizations in topology optimization

Fail-safe topology optimization

Application of layout optimization to the design of additively manufactured metallic components

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