Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces

Abueidda, Diab W.; Al‐Rub, Rashid K. Abu; Dalaq, Ahmed S.; Lee, Dong Hoon; Khan, Kamran A.; Jasiuk, Iwona

doi:10.1016/j.mechmat.2016.01.004

Cited by 221 publications

(70 citation statements)

References 36 publications

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“…9 as the thermal conductivity for each microarchitecture. The G, D and P shellular materials (when f = 0) are found to have almost equal thermal conductivity at each relative density, which is in agreement with the findings in [38]; however, by increasing the value of f for the P shellular materials, the effective thermal conductivity decreases.…”

Section: Resultssupporting

confidence: 87%

Thermal Conductivity Of Advanced Architected Cellular Materials

Mirabolghasemi¹,

Akbarzadeh²,

Rodrigue³

et al. 2018

Progress in Canadian Mechanical Engineering

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Architected cellular materials, as a novel class of low density materials, gain their unprecedented multifunctional performance mainly from their underlying architecture. In this paper, we focus on thermal conductivity of cellular materials. Standard mechanics homogenization with periodic boundary conditions is used to determine the thermal conductivity of cells with supershape pores. The computational results confirm that a wide range of possible anisotropic behaviour for thermal conductivity is achievable for cellular materials. Effective thermal conductivity of shellular materials based on three triply periodic minimal surfaces are also compared with those of cells with supershape pores. It is found that unlike the shellular materials, which only cover a narrow portion of thermal conductivity vs. relative density chart, cellular materials with anisotropic effective thermal conductivity could be engineered by employing supershape pores in cells.

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Section: Resultssupporting

confidence: 87%

Thermal Conductivity Of Advanced Architected Cellular Materials

Mirabolghasemi¹,

Akbarzadeh²,

Rodrigue³

et al. 2018

Progress in Canadian Mechanical Engineering

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“…Although they have been discovered for a long time, their realization as a three-dimensional structure was not an easy task due to their structural complexity. However, recent advances in fabrication techniques facilitated this task and many recent studies have successfully fabricated and tested these topologies in different engineering disciplines such as water treatment, 9,10,16 lightweight materials, [19][20][21][22][23] and composites. [24][25][26][27] A minimal surface can be converted into a cellular material with a defined volume using two main approaches as explained by Kapfer et al 28 and shown in Figure 2B.…”

Section: Introductionmentioning

confidence: 99%

Additive manufacturing of architected catalytic ceramic substrates based on triply periodic minimal surfaces

et al. 2019

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The exhibited geometry of catalytic substrates can have a significant influence on the chemical activity and efficiency. Controlling their geometry can be challenging using the traditional techniques. In this work, we propose new and novel catalytic substrates with architected and controllable topologies based on the minimal surfaces framework. A novel design approach and an additive manufacturing (AM) technique were proposed to manufacture the catalytic substrates using ceramic materials. After 3D printing, their mechanical and flow properties were investigated experimentally. An elastic‐plastic‐damage coupled model was employed to investigate the underlying deformation mechanism of the investigated substrates. Results showed that the CLP substrate exhibited the highest mechanical properties as well as the least pressure drop among the tested substrates. Also, numerical simulations showed that the strut‐based substrates exhibit stress localization which leads to faster failure, while stress is distributed more homogeneously in the sheet‐based substrates. While the model showed to have a good agreement in the experimental and simulation stress‐strain responses, the damage mechanism was not fully captured by the numerical simulations. This was attributed mainly to the process‐induced defects in the form of microcracks and microvoids that can alter the nature of deformation and damage.

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“…Besides, several researchers have employed TPLS-based cellular structures in a range of applications to enhance functionalities through their topology properties relationship. For example, they have used the gyroid structure as a supporting structure for AM [11], TPLS-based cellular structures as a bone tissue engineering scaffold [19], TPLS-based cellular structures with varying transport of heat and electricity [20], and TPLS-based composite structures with high conductivities [21], and so on.…”

Section: Related Workmentioning

confidence: 99%

Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes

Dai

Tang

et al. 2019

Journal of Mechanical Design

101

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Periodic cellular structures with excellent mechanical properties widely exist in nature. A generative design and optimization method for triply periodic level surface (TPLS)-based functionally graded cellular structures is developed in this work. In the proposed method, by controlling the density distribution, the designed TPLS-based cellular structures can achieve better structural or thermal performances without increasing its weight. The proposed technique can be divided into four steps. First, the modified 3D implicit functions of the triply periodic minimal surfaces are developed to design different types of cellular structures parametrically and generate spatially graded cellular structures. Second, the numerical homogenization method is employed to calculate the elastic tensor and the thermal conductivity tensor of the cellular structures with different densities. Third, the optimal relative density distribution of the object is computed by the scaling laws of the TPLS-based cellular structures added optimization algorithm. Finally, the relative density of the numerical results of structure optimization is mapped into the modified parametric 3D implicit functions, which generates an optimum lightweight cellular structure. The optimized results are validated subjected to different design specifications. The effectiveness and robustness of the obtained structures is analyzed through finite element analysis and experiments. The results show that the functional gradient cellular structure is much stiffer and has better heat conductivity than the uniform cellular structure.

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Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces

Cited by 221 publications

References 36 publications

Thermal Conductivity Of Advanced Architected Cellular Materials

Thermal Conductivity Of Advanced Architected Cellular Materials

Additive manufacturing of architected catalytic ceramic substrates based on triply periodic minimal surfaces

Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes

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