Stress-based topology optimization method for steady-state fluid–structure interaction problems

Yoon, Gil Ho

doi:10.1016/j.cma.2014.05.021

Cited by 48 publications

(16 citation statements)

References 64 publications

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“…Planar multiphysics MEMS devices are optimised with electrical and thermal response being computed in the reference mesh. Subsequently, Yoon extended the framework to minimise the structural mass subject to stress constraints [165], and also applied the framework to the optimisation of a compliant flapper valve [166].…”

Section: Fluid-structure Interactionmentioning

confidence: 99%

“…Yoon [170] presented an extension of previous work [165], where a material failure criteria is applied to design the material distribution. Lundgaard et al [171] revisited the unified density-based formulation of Yoon [161], however, solving the fluid in the reference mesh under the assumption of small deformations.…”

Section: Fluid-structure Interactionmentioning

confidence: 99%

“…The efforts within wet topology optimisation of FSI problems only cover 15 papers [161,[163][164][165][166][167][168][169][170][171][172][173][174], and these all remain restricted to small deformations and steady-state. Thus, the solution of the problems in the deformed state is either negligible or of minor importance to the optimisation procedure, at least if the design objective is minimum compliance.…”

Section: Fluid-structure Interactionmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

203

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This review paper provides an overview of the literature for topology optimisation of fluid-based problems, starting with the seminal works on the subject and ending with a snapshot of the state of the art of this rapidly developing field. “Fluid-based problems” are defined as problems where at least one governing equation for fluid flow is solved and the fluid–solid interface is optimised. In addition to fluid flow, any number of additional physics can be solved, such as species transport, heat transfer and mechanics. The review covers 186 papers from 2003 up to and including January 2020, which are sorted into five main groups: pure fluid flow; species transport; conjugate heat transfer; fluid–structure interaction; microstructure and porous media. Each paper is very briefly introduced in chronological order of publication. A quantititive analysis is presented with statistics covering the development of the field and presenting the distribution over subgroups. Recommendations for focus areas of future research are made based on the extensive literature review, the quantitative analysis, as well as the authors’ personal experience and opinions. Since the vast majority of papers treat steady-state laminar pure fluid flow, with no recent major advancements, it is recommended that future research focuses on more complex problems, e.g., transient and turbulent flow.

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Section: Fluid-structure Interactionmentioning

confidence: 99%

Section: Fluid-structure Interactionmentioning

confidence: 99%

Section: Fluid-structure Interactionmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

203

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“…Fairly many works have proposed topology optimization methods for situations where several of the aforementioned physical effects arise: convective heat transfer problems (involving coupled fluid and thermal equations, where the elastic response of the underlying structure is neglected) have been addressed using density methods [73,34,38,109,97,37,36,86,91], or variants of the level-set method [4,29,107]. Systems featuring interactions between a fluid and a solid phase, without taking thermal effects into account, have been studied in slightly fewer works, and in two space dimensions only [108,80,14,57,72,66]. Finally, the optimal design of thermoelastic structures has been tackled in [59,100,41,106,28,10].…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing

Feppon

Allaire

Dapogny³

et al. 2020

Journal of Computational Physics

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An efficient framework is described for the shape and topology optimization of realistic threedimensional, weakly-coupled fluid-thermal-mechanical systems. At the theoretical level, the proposed methodology relies on the boundary variation of Hadamard for describing the sensitivity of functions with respect to the domain. From the numerical point of view, three key ingredients are used: (i) a level set based mesh evolution method allowing to describe large deformations of the shape while maintaining an adapted, highquality mesh of the latter at every stage of the optimization process; (ii) an efficient constrained optimization algorithm which is very well adapted to the infinite-dimensional shape optimization context; (iii) efficient preconditioning techniques for the solution of large finite element systems in a reasonable computational time. The performance of our strategy is illustrated with two examples of coupled physics: respectively fluid-structure interaction and convective heat transfer. Before that, we perform three other test cases, involving a single physics (structural, thermal and aerodynamic design), for comparison purposes and for assessing our various tools: in particular, they prove the ability of the mesh evolution technique to capture very thin bodies or shells in 3D.

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“…Earlier efforts on generating optimal configurations of continuum structures subjected to von Mises stress constraints over each individual element can be traced back to late 1990s, see, for example, Cheng and Zhang [1] and Shim and Manoochehri [2]. Since then, the topology optimization with local stress constraints has been studied by Duysinx and Sigmund [3], Duysinx and Bendsøe [4], Pereira et al [5] and Bruggi [6], Jeong and Park [7], Moon and Yoon [8], James and Waisman [9] París and Colominas [10], Yoon [11], etc.…”

Section: Introductionmentioning

confidence: 99%

Continuum structural topological optimizations with stress constraints based on an active constraint technique

Rong

Xiao

et al. 2016

Numerical Meth Engineering

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SUMMARYStress-related problems have not been given the same attention as the minimum compliance topological optimization problem in the literature. Continuum structural topological optimization with stress constraints is of wide engineering application prospect, in which there still are many problems to solve, such as the stress concentration, an equivalent approximate optimization model and etc. A new and effective topological optimization method of continuum structures with the stress constraints and the objective function being the structural volume has been presented in this paper. To solve the stress concentration issue, an approximate stress gradient evaluation for any element is introduced, and a total aggregation normalized stress gradient constraint is constructed for the optimized structure under the r th load case. To obtain stable convergent series solutions and enhance the control on the stress level, two p-norm global stress constraint functions with different indexes are adopted, and some weighting p-norm global stress constraint functions are introduced for any load case. And an equivalent topological optimization model with reduced stress constraints is constructed,being incorporated with the rational approximation for material properties, an active constraint technique, a trust region scheme, and an effective local stress approach like the qp approach to resolve the stress singularity phenomenon. Hence, a set of stress quadratic explicit approximations are constructed, based on stress sensitivities and the method of moving asymptotes. A set of algorithm for the one level optimization problem with artificial variables and many possible non-active design variables is proposed by adopting an inequality constrained nonlinear programming method with simple trust regions, based on the primal-dual theory, in which the non-smooth expressions of the design variable solutions are reformulated as smoothing functions of the Lagrange multipliers by using a novel smoothing function. Finally, a twolevel optimization design scheme with active constraint technique, i.e. varied constraint limits, is proposed to deal with the aggregation constraints that always are of loose constraint (non active constraint) features in the conventional structural optimization method. A novel structural topological optimization method with stress constraints and its algorithm are formed, and examples are provided to demonstrate that the proposed method is feasible and very effective.

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Stress-based topology optimization method for steady-state fluid–structure interaction problems

Cited by 48 publications

References 64 publications

A Review of Topology Optimisation for Fluid-Based Problems

A Review of Topology Optimisation for Fluid-Based Problems

Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing

Continuum structural topological optimizations with stress constraints based on an active constraint technique

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