TY - JOUR
T1 - Periodic boundary condition and its numerical implementation algorithm for the evaluation of effective mechanical properties of the composites with complicated micro-structures
AU - Tian, Wenlong
AU - Qi, Lehua
AU - Chao, Xujiang
AU - Liang, Junhao
AU - Fu, Mingwang
N1 - Funding Information:
The authors would like to thank the financial support from the National Natural Science Foundation of China (Nos. 51472203 and 51772245 ), National Key Research and Development Program of China (No. 2017YFB0308303 ), and the project from The Hong Kong Polytechnic University (No. 1-YW3H ).
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2019/4/1
Y1 - 2019/4/1
N2 - To evaluate the effective mechanical properties of the composites with complicated micro-structures, the RVE based FE homogenization method with the periodic boundary condition is introduced and implemented in this paper, and the emphasis is on the periodic boundary condition and its numerical implementation algorithm. The pre-processing (such as the generation of geometry model and application of periodic boundary condition), FE analysis and post-processing (such as the average of stress and strain and stress contouring of the surface nodes) concerning the evaluation of the effective mechanical properties of the composites with complicated micro-structures are conducted in the FE package ABAQUS through the Python Interface. Numerical results show that the proposed numerical implementation algorithm of the periodic boundary condition guarantees the stress and strain continuities and uniaxial deformation constraint of the RVEs for the composites with complicated micro-structures. Compared with the Halpin-Tsai model and two-step M-T/Voigt mean-field homogenization method, the RVE based FE homogenization method with the periodic boundary condition is verified to accurately predict the effective elastic properties and elasto-plastic responses of the composites with the complicated micro-structures.
AB - To evaluate the effective mechanical properties of the composites with complicated micro-structures, the RVE based FE homogenization method with the periodic boundary condition is introduced and implemented in this paper, and the emphasis is on the periodic boundary condition and its numerical implementation algorithm. The pre-processing (such as the generation of geometry model and application of periodic boundary condition), FE analysis and post-processing (such as the average of stress and strain and stress contouring of the surface nodes) concerning the evaluation of the effective mechanical properties of the composites with complicated micro-structures are conducted in the FE package ABAQUS through the Python Interface. Numerical results show that the proposed numerical implementation algorithm of the periodic boundary condition guarantees the stress and strain continuities and uniaxial deformation constraint of the RVEs for the composites with complicated micro-structures. Compared with the Halpin-Tsai model and two-step M-T/Voigt mean-field homogenization method, the RVE based FE homogenization method with the periodic boundary condition is verified to accurately predict the effective elastic properties and elasto-plastic responses of the composites with the complicated micro-structures.
KW - Discontinuous reinforcement
KW - Finite element analysis (FEA)
KW - Mechanical properties
KW - Metal-matrix composites (MMCs)
KW - Periodic boundary condition
UR - http://www.scopus.com/inward/record.url?scp=85055885904&partnerID=8YFLogxK
U2 - 10.1016/j.compositesb.2018.10.053
DO - 10.1016/j.compositesb.2018.10.053
M3 - Journal article
AN - SCOPUS:85055885904
SN - 1359-8368
VL - 162
SP - 1
EP - 10
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
ER -