Concurrent topology optimization of structures and their composite microstructures

Yan, Xiaolei; Huang, Xiaodong; Zha, Yuanfei; Xie, Yi Min

doi:10.1016/j.compstruc.2013.12.001

Cited by 132 publications

(47 citation statements)

References 26 publications

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“…Another formulation is to use the same microstructure throughout the macroscale domain (Liu et al 2008;Yan et al 2014). Thus, only one microstructure is optimized and the number of design variables is not significantly greater than a single scale topology optimization.…”

Section: Figure 1 Multiscale Topology Optimizationmentioning

confidence: 99%

Simultaneous material and structural optimization by multiscale topology optimization

Sivapuram

Dunning

Kim

2016

Struct Multidisc Optim

244

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This paper introduces a new approach to multiscale optimization, where design optimization is applied at two scales: the macroscale, where the structure is optimized, and the microscale, where the material is optimized. Thus, structure and material are optimized simultaneously. We approach multiscale design optimization by linearizing and formulating a new way to decompose into macro and microscale design problems in such a way that solving the decomposed problems separately lead to an overall optimum solution. In addition, the macro and microstructural designs are coupled tightly through homogenization and inverse homogenization. This approach is generic in that it allows any number of unique microstructures and can be applied to a wide range of design problems. An advantage of decomposing the problem in this physical way is that it is potentially straight forward to specify additional design requirements at a specific scale or in specific regions of the design domain. The decomposition approach also allows an easy parallelization of the computational methodology and this enables the computational time to be maintained at a practical level. We demonstrate the proposed approach using the level-set topology optimization at both scales, i.e. macrostructural topological design and microstructural topology of architected material. A series of optimization problems, minimizing compliance and compliant mechanism are solved for verification and investigation of potential benefits.

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Section: Figure 1 Multiscale Topology Optimizationmentioning

confidence: 99%

Simultaneous material and structural optimization by multiscale topology optimization

Sivapuram

Dunning

Kim

2016

Struct Multidisc Optim

244

View full text Add to dashboard Cite

show abstract

“…Besides that, some topology optimization methods [10][11][12][13][14][15][16] have been successfully used to optimize lattice cell's topology and parameters. Unlike the aforementioned homogenous lattice design methods which only focus on the topology or parameters of a lattice cell, several concurrent optimization methods [17][18][19][20] have been proposed to optimize cell's topology as well as structures' macro shape. As to heterogeneous periodic lattice structures, some structural optimization methods, such as size optimization [21] and topology optimization method [22,23] have been applied to optimize struts' thickness distribution.…”

Section: Introductionmentioning

confidence: 99%

Bidirectional Evolutionary Structural Optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing

Tang

Kurtz

Zhao

2015

Computer-Aided Design

141

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Please cite this article as: Tang Y, Kurtz A, Zhao YF. Bidirectional Evolutionary Structural Optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing. Computer-Aided Design (2015), http://dx. AbstractUnlike traditional manufacturing methods, additive manufacturing can produce parts with complex geometric structures without significant increases in fabrication time and cost. One application of additive manufacturing technologies is the fabrication of customized lattice-skin structures which can enhance performance of products while minimizing material or weight. In this paper, a novel design method for the creation of periodic lattice structures is proposed. In this method, Functional Volumes (FVs) and Functional Surfaces (FSs) are first determined based on an analysis of the functional requirements. FVs can be further decomposed into several subFVs. These sub-FVs can be divided into two types: FV with solid and FV with lattice. The initial design parameters of the lattice are selected based on the proposed guidelines. Based on these parameters, a kernel based lattice frame generation algorithm is used to generate lattice wireframes within the given FVs. At last, traditional bidirectional evolutionary structural optimization is modified to optimize distribution of lattice struts' thickness. The design method proposed in this paper validated through a case study, and provides an important foundation for the wide adoption of additive manufacturing technologies in the industry.

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“…Numerous research papers (Yan et al, 2014;Lee et al, 2012;Leskovar and Premrov, 2012) concerning new methods in this field have appeared in journals and been presented at conferences.…”

Section: Introductionmentioning

confidence: 99%

Evaluating Topological Optimized Layout of Building Structures by Using Nodal Material Density Based Bilinear Interpolation

Lee

et al. 2014

Journal of Asian Architecture and Building Engineering

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This study presents a boundary representation of Eulerian-type in order to achieve conceptual structural layouts of building structures by relieving material discontinuities of structural topology optimization in comparison with classical ones. According to the partition of unity concept, a bilinear interpolation can be employed by nodal densities and shape functions with the use of discretization of four-node square elements and then material properties, i.e. here, densities in finite elements are not constant but variational values. As a result, the improvement of material continuity can be established as optimal topologies, and numerical singularity and zigzag material boundaries which may occur in classical topology optimization design are relieved. Numerical applications verify the efficiency of this method by evaluating this conceptual structural layout approach for designing building structures.

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Concurrent topology optimization of structures and their composite microstructures

Cited by 132 publications

References 26 publications

Simultaneous material and structural optimization by multiscale topology optimization

Simultaneous material and structural optimization by multiscale topology optimization

Bidirectional Evolutionary Structural Optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing

Evaluating Topological Optimized Layout of Building Structures by Using Nodal Material Density Based Bilinear Interpolation

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