Concurrent design with connectable graded microstructures

Wang, Yiqiang; Chen, Feifei; Wang, Michael Yu

doi:10.1016/j.cma.2016.12.007

Cited by 169 publications

(68 citation statements)

References 51 publications

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“…It bears certain similarity with the treatment by [24], but essential differences exist. For instance, level sets of discrete values are used in [24], but continuous level sets are considered here. Moreover, local rotation and distortion of the generating cells are not taken into account by [24], resulting in pixelwise microstructures only.…”

Section: Introductionmentioning

confidence: 82%

“…Here the reported IGM generation approaches in literature are in general classified into five groups: 1) classical homogenisation-based methods (HBMs) [9,10,12,45,14] where each pixel is associated with a microstructural cell; 2) methods with parameterised cells (MPCs) [19,46,21,22,23] where the constituting cells are formed by parameterised building blocks; 3) multiple level-set methods (MLSMs) [24,27] where the constituting cells are identified by multiple level-set contours of discrete values from a same generating function; 4) de-homogenisation methods [31,33]; 5) the original AHTO plus method [1,37].…”

Section: Comparison Among Existing Methods For Igm Representationmentioning

confidence: 99%

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Generation of smoothly-varying infill configurations from a continuous menu of cell patterns and the asymptotic analysis of its mechanical behaviour

Xue

Zhu

Gao

2020

Computer Methods in Applied Mechanics and Engineering

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Section: Introductionmentioning

confidence: 82%

Section: Comparison Among Existing Methods For Igm Representationmentioning

confidence: 99%

Generation of smoothly-varying infill configurations from a continuous menu of cell patterns and the asymptotic analysis of its mechanical behaviour

Xue

Zhu

Gao

2020

Computer Methods in Applied Mechanics and Engineering

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“…In these fields, one of the most extensive attentions is the layout design of FG structures over the last few years. However, most existing research studies mainly focus on the design of structures whose material properties are graded in whole design domain, [26][27][28][29][30][31][32][33][34][35][36] and there exist very little research studies on topology optimization of FG structures that simultaneously includes uniform and graded parts. From the perspective of material distribution description, design of structure with graded surface is much more challenging than design of pure uniform or graded structure.…”

Section: Introductionmentioning

confidence: 99%

A projection‐based method for topology optimization of structures with graded surfaces

Luo

Liu

2019

Numerical Meth Engineering

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Summary Graded surfaces widely exist in natural structures and inspire engineers to apply functionally graded (FG) materials to cover structural surfaces for performance improvement, protection, or other special functionalities. However, how to design such structures with FG surfaces by topology optimization is a quite challenging problem due to the difficulty for determining material properties of structural surfaces with prescribed variation rule. This paper presents a novel projection‐based method for topology optimization of this class of FG structures. Firstly, a projection process is proposed for ensuring the material properties of the surfaces vary with a prescribed function. A criterion of determining the values of parameters in projection process is given by a strict theoretical derivation, and then, a new interpolation function is established, which is capable of simultaneously obtaining clear substrate topologies and realizable FG surfaces. Though such structures are actually multimaterial gradient structures, only the design variables of single‐material topology optimization problem are needed. In the current research, the classical compliance minimization problem with a mass constraint is considered and the robust formulation is used to control the length scale of substrates. Several 2D and 3D numerical examples illustrate the validity and applicability of the proposed method.

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“…Another approach for connecting microstructures is to apply a post-processing based on the metamorphosis technique. Wang et al [26] generated a series of selfsimilar and connected microstructures by interpolating between a prototype cell and a solid cell. Such an interpolation technique is a well-established practice for the level set method in the field of image processing.…”

Section: Introductionmentioning

confidence: 99%

Connecting Microstructures for Multiscale Topology Optimization With Connectivity Index Constraints

Zhou

Picelli

et al. 2018

Journal of Mechanical Design

107

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2With the rapid developments of advanced manufacturing and its ability to manufacture microscale features, architected materials are receiving ever increasing attention in many physics fields. Such a design problem can be treated in topology optimization as architected material with repeated unit cells using the homogenization theory with the periodic boundary condition. When multiple architected materials with spatial variations in a structure are considered, a challenge arises in topological solutions which may not be connected between adjacent material architecture. This paper introduces a new measure, Connectivity Index (CI) to quantify the topological connectivity and adds it as a constraint in multiscale topology optimization to achieve connected architected materials. Numerical investigations reveal that the additional constraints lead to microstructural topologies which are well connected and do not substantially compromise their optimalities.3

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Concurrent design with connectable graded microstructures

Cited by 169 publications

References 51 publications

Generation of smoothly-varying infill configurations from a continuous menu of cell patterns and the asymptotic analysis of its mechanical behaviour

Generation of smoothly-varying infill configurations from a continuous menu of cell patterns and the asymptotic analysis of its mechanical behaviour

A projection‐based method for topology optimization of structures with graded surfaces

Connecting Microstructures for Multiscale Topology Optimization With Connectivity Index Constraints

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