Optimal design of compliant mechanisms using functionally graded materials

Conlan-Smith, Cian; Bhattacharyya, Anurag; James, Kai A.

doi:10.1007/s00158-017-1744-y

Cited by 30 publications

(23 citation statements)

References 30 publications

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“…The authors previously found that FGM mechanisms can produce higher mechanical/geometric advantages compared to homogeneous and two material mechanisms as outlined in [1]. Additionally, this study compared the stress distributions in each design and found that increased mechanical performance also incurred higher stresses in the design.…”

Section: Introductionmentioning

confidence: 76%

“…This study used a density based material interpolation scheme for heterogeneous materials based on finite element shape functions, a method first introduced by Matsui and Terada [27]. Conlan-Smith et al [1] developed a SIMP-based formulation for modelling FGMs in topology optimization problems. Here each element in the domain had two variables -one for topology optimization and another for material optimization.…”

Section: Introductionmentioning

confidence: 99%

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A stress-based topology optimization method for heterogeneous structures

Conlan-Smith

James

2019

Struct Multidisc Optim

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Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

A stress-based topology optimization method for heterogeneous structures

Conlan-Smith

James

2019

Struct Multidisc Optim

Self Cite

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“…It should be noted that this model is a realizable Hashin‐Shtrikman bound–based model in the surface layer region (ie,

\overset{{(‖‖, \nabla \overset{φ}{true})}_{α}}{true} = 1

). Such established distribution function is only dependent of the topology variables of single‐material problem and independent of the needed volume fraction variables for general multimaterial gradient structures design problem …”

Section: Materials Modeling Of Structures With Graded Surfacesmentioning

confidence: 99%

“…Such established distribution function is only dependent of the topology variables of single-material problem and independent of the needed volume fraction variables for general multimaterial gradient structures design problem. 33,35…”

Section: Surface Identificationmentioning

confidence: 99%

“…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%

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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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Current and future trends in topology optimization for additive manufacturing

Liu

Gaynor

Chen

et al. 2018

Struct Multidisc Optim

652

249

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Manufacturing-oriented topology optimization has been extensively studied the past two decades, in particular for the conventional manufacturing methods, e.g., machining and injection molding or casting. Both design and manufacturing engineers have benefited from these efforts because of the close-tooptimal and friendly-to-manufacture design solutions. Recently, additive manufacturing (AM) has received significant attention from both academia and industry. AM is characterized by producing geometrically complex components layer-by-layer, and greatly reduces the geometric complexity restrictions imposed on topology optimization by conventional manufacturing. In other words, AM can make near-full use of the freeform structural evolution of topology optimization. Even so, new rules and restrictions emerge due to the diverse and intricate AM processes, which should be carefully addressed when developing the AM-specific topology optimization algorithms. Therefore, the motivation of this perspective paper is to summarize the state-of-art topology optimization methods for a variety of AM topics. At the same time, this paper also expresses the authors' perspectives on the challenges and opportunities in these topics. The hope is to inspire both researchers and engineers to meet these challenges with innovative solutions.

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Optimal design of compliant mechanisms using functionally graded materials

Cited by 30 publications

References 30 publications

A stress-based topology optimization method for heterogeneous structures

A stress-based topology optimization method for heterogeneous structures

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

Current and future trends in topology optimization for additive manufacturing

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