Effective Mechanical Properties of Auxetic Materials: Numerical Predictions Using Variational Asymptotic Method Based Homogenization

被引:8
作者
Srivastava, Chetna [1 ]
Mahesh, Vinyas [2 ]
Pitchai, Pandi [3 ]
Guruprasad, P. J. [4 ]
Petrinic, Nik [5 ]
Scarpa, Fabrizio [6 ]
Harursampath, Dineshkumar [1 ]
Ponnusami, Sathiskumar A. [2 ]
机构
[1] Indian Inst Sci, Dept Aerosp Engn, NMCAD Lab, Bengaluru 560012, Karnataka, India
[2] City Univ London, Dept Engn, Northampton Sq, London EC1V 0HB, England
[3] ASTAR, Inst High Performance Comp IHPC, 1 Fusionopolis Way, Singapore 138632, Singapore
[4] Indian Inst Technol, Dept Aerosp Engn, Mumbai 400076, Maharashtra, India
[5] Univ Oxford, Dept Engn Sci, Solid Mech & Mat Engn, Parks Rd, Oxford OX1 3PJ, Oxon, England
[6] Univ Bristol, Bristol Composites Inst, Bristol BS8 1TR, England
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2023年 / 90卷 / 11期
关键词
constitutive modeling of materials; elasticity; mechanical properties of materials; HONEYCOMBS; RATIOS; MODEL;
D O I
10.1115/1.4062845
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this work, the variational asymptotic method (VAM) based homogenization framework is used for the first time to determine the equivalent elastic stiffness tensor of auxetic materials. The proposed method allows the structural elements of the auxetic unit cell to naturally incorporate rotational degrees-of-freedom, without any ad-hoc assumptions. The overall macroscale homogenized response of the unit cells is considered to be fully anisotropic; specific possible responses, representative of orthotropy or transverse isotropy naturally emerge from the VAM-based homogenization, due to the arrangements of the structural elements making up the unit cell. For all the auxetic unit cell geometries considered in this study, the predictions obtained from the in-house python-based implementation of the VAM-based homogenization framework are validated using commercial finite element software (abaqus) and open literature. The results demonstrate the versatility and the computational efficiency of the VAM-based homogenization framework to describe auxetic metamaterials.
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页数:16
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