Industrial Implementation and Applications of Topology Optimization and Future Needs

Pedersen, Claus; Allinger, Peter

doi:10.1007/1-4020-4752-5_23

Cited by 23 publications

(9 citation statements)

References 5 publications

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“…This type of method has experienced much popularity in recent years in this community due to its conceptual simplicity and ease in implementation. Nearly all commercial topology optimization tools utilize a density-based method [34].…”

Section: Phase-field Methodsmentioning

confidence: 99%

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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: Phase-field Methodsmentioning

confidence: 99%

“…The need for high-performance heat-dissipating devices is highly needed in today's rapidly changing power device and electronics markets [1,2]. With worldwide movements on the implementation of Industry 4.0, we will see more radical changes in the way tangible products are manufactured [3].…”

Section: Introductionmentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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“…In line with the growing interest raised by shape and topology optimization within the academic and industrial communities, various computational paradigms have emerged, with competing assets and drawbacks; see [95] for an overview. Among them, relaxation-based topology optimization frameworks feature designs as density functions and (possibly) microstructure tensors, describing the local arrangement of material and void at the microscopic scale; see for instance [30,99] about the SIMP method, and [2] about the homogenization method.…”

Section: Introductionmentioning

confidence: 99%

The topological ligament in shape optimization: a connection with thin tubular inhomogeneities

Dapogny¹

2022

The SMAI Journal of Computational Mathematics

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In this article, we propose a formal method for evaluating the asymptotic behavior of a shape functional when a thin tubular ligament is added between two distant regions of the boundary of the considered domain. In the contexts of the conductivity equation and the linear elasticity system, we relate this issue to a perhaps more classical problem of thin tubular inhomogeneities: we analyze the solutions to versions of the physical partial differential equations which are posed inside a fixed "background" medium, and whose material coefficients are altered inside a tube with vanishing thickness. Our main contribution from the theoretical point of view is to propose a heuristic energy argument to calculate the limiting behavior of these solutions with a minimum amount of effort. We retrieve known formulas when they are available, and we manage to treat situations which are, to the best of our knowledge, not reported in the literature (including the setting of the 3d linear elasticity system). From the numerical point of view, we propose three different applications of the formal "topological ligament" approach derived from these expansions. At first, it is an original way to account for variations of a domain, and it thereby provides a new type of sensitivity for a shape functional, to be used concurrently with more classical shape and topological derivatives in optimal design frameworks. Besides, it suggests new, interesting algorithms for the design of the scaffold structure sustaining a shape during its fabrication by a 3d printing technique, and for the design of truss-like structures. Several numerical examples are presented in two and three space dimensions to appraise the efficiency of these methods.

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“…In the recent years, topology optimization has become a research field by itself, not only because it arouses interest on the scientific community but also because it provides successful solutions to industrial problems . Traditionally, topology optimization seeks to design light‐weight structural components without losing stiffness capabilities.…”

Section: Introductionmentioning

confidence: 99%

SIMP‐ALL: A generalized SIMP method based on the topological derivative concept

Ferrer

2019

Numerical Meth Engineering

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Summary Topology optimization has emerged in the last years as a promising research field with a wide range of applications. One of the most successful approaches, the SIMP method, is based on regularizing the problem and proposing a penalization interpolation function. In this work, we propose an alternative interpolation function, the SIMP‐ALL method that is based on the topological derivative concept. First, we show the strong relation in plane linear elasticity between the Hashin‐Shtrikman (H‐S) bounds and the topological derivative, providing a new interpretation of the last one. Then, we show that the SIMP‐ALL interpolation remains always in between the H‐S bounds regardless the materials to be interpolated. This result allows us to interpret intermediate values as real microstructures. Finally, we verify numerically this result and we show the convenience of the proposed SIMP‐ALL interpolation for obtaining auto‐penalized optimal design in a wider range of cases. A MATLAB code of the SIMP‐ALL interpolation function is also provided.

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Industrial Implementation and Applications of Topology Optimization and Future Needs

Cited by 23 publications

References 5 publications

Heat Exchanger Design with Topology Optimization

Heat Exchanger Design with Topology Optimization

The topological ligament in shape optimization: a connection with thin tubular inhomogeneities

SIMP‐ALL: A generalized SIMP method based on the topological derivative concept

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