Evolutionary design of nonuniform cellular structures with optimized Poisson's ratio distribution

Han, Yafeng; Lu, Wen-Feng

doi:10.1016/j.matdes.2017.12.047

Cited by 61 publications

(32 citation statements)

References 40 publications

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“…More studies focus solely on the optimization of shape-morphing structures without active materials. Common techniques involve the optimization of geometric parameters of lattices [27], the mapping of locally deformed, precomputed patterns to achieve global deformations [28] or multi-stage approaches where topology optimization and mapping strategies are combined [29]. However, these shape transformations are purely elastic and cannot be fixed permanently.…”

Section: Shape-morphing Structuresmentioning

confidence: 99%

Computational design of 3D-printed active lattice structures for reversible shape morphing

Lumpe

Shea

2021

Journal of Materials Research

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Active structures can adapt to varying environmental conditions and functional requirements by changing their shapes and properties, which makes them suitable for applications in changing environments as found in aerospace and automotive. Of special interest are light and stiff structures with shape morphing capabilities, which is naturally contradictory. Existing concepts in literature can be limited to a single, non-reversible actuation and are difficult to design due to the inherent complexity of large-scale lattices with many elements and complex target deformations. Here, we show how 3D-printed active materials can be combined with an efficient computational framework to design large-scale lattice structures that can change their shape between an initial state and a target state. The reversible deformation is controlled by a single actuation input and heating of the structure. Numerical and experimental results show the generality of the proposed method and the applicability to different problems such as morphing airfoils. Graphic Abstract

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Section: Shape-morphing Structuresmentioning

confidence: 99%

Computational design of 3D-printed active lattice structures for reversible shape morphing

Lumpe

Shea

2021

Journal of Materials Research

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“…During the solution of optimization problem formulated in such a way it is important to avoid getting stuck in local optimum. It could be achieved by using global optimization methods like the evolutionary algorithm [20,21,22], artificial immune algorithm [23,24] or particle swarm optimization [25,26]. Other advantages of the global optimization methods over the traditional methods are: no need of computing the objective function gradient and low impact of initial values of the project variables on the optimization results.…”

Section: Identification Proceduresmentioning

confidence: 99%

Inverse Identification of Elastic Properties of Constituents of Discontinuously Reinforced Composites

Ogierman

2018

Materials

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This paper is devoted to determination of elastic properties of composite constituents by using an inverse identification procedure. The aim of the developed identification procedure is to compute the elastic constants of individual material phases on the basis of known properties of composite materials. The inverse problem of identification has been solved by combining an evolutionary algorithm with a micromechanical model. The paper also focuses on selection of a suitable micromechanical model for optimization which should ensure a compromise between accuracy and complexity. Two different cases have been studied: composite reinforced with short cylindrical fibers and composite reinforced with cubic particles. Moreover, Monte Carlo simulations have been carried out to expose a difference in outcome of identification which may occur when uncertain input data is considered. Obtained results show that identification is successful only when properties of composite materials with at least two different volume fractions of the reinforcement are known.

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“…However, recent research has shown the importance of lattice structures with positive Poisson’s ratios in several areas including the design of lightweight structures [ 10 , 11 ], development of biomedically-relevant metamaterials (or meta-biomaterials [ 12 , 13 ]), and rational design of actuators for soft robotic applications [ 14 ]. In many of these application areas, lattice structures with positive Poisson’s ratios are not only important in their own right but also in combination with auxetic metamaterials [ 15 , 16 , 17 ]. Therefore, the aim of this paper was to review the topology-property relationships of non-auxetic mechanical metamaterials in general and five designs of such materials in particular.…”

Section: Introductionmentioning

confidence: 99%

Non-Auxetic Mechanical Metamaterials

2019

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The concept of “mechanical metamaterials” has become increasingly popular, since their macro-scale characteristics can be designed to exhibit unusual combinations of mechanical properties on the micro-scale. The advances in additive manufacturing (AM, three-dimensional printing) techniques have boosted the fabrication of these mechanical metamaterials by facilitating a precise control over their micro-architecture. Although mechanical metamaterials with negative Poisson’s ratios (i.e., auxetic metamaterials) have received much attention before and have been reviewed multiple times, no comparable review exists for architected materials with positive Poisson’s ratios. Therefore, this review will focus on the topology-property relationships of non-auxetic mechanical metamaterials in general and five topological designs in particular. These include the designs based on the diamond, cube, truncated cube, rhombic dodecahedron, and the truncated cuboctahedron unit cells. We reviewed the mechanical properties and fatigue behavior of these architected materials, while considering the effects of other factors such as those of the AM process. In addition, we systematically analyzed the experimental, computational, and analytical data and solutions available in the literature for the titanium alloy Ti-6Al-4V. Compression dominated lattices, such as the (truncated) cube, showed the highest mechanical properties. All of the proposed unit cells showed a normalized fatigue strength below that of solid titanium (i.e., 40% of the yield stress), in the range of 12–36% of their yield stress. The unit cells discussed in this review could potentially be applied in bone-mimicking porous structures.

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Evolutionary design of nonuniform cellular structures with optimized Poisson's ratio distribution

Cited by 61 publications

References 40 publications

Computational design of 3D-printed active lattice structures for reversible shape morphing

Computational design of 3D-printed active lattice structures for reversible shape morphing

Inverse Identification of Elastic Properties of Constituents of Discontinuously Reinforced Composites

Non-Auxetic Mechanical Metamaterials

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