Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 121, Issue -, Pages 23-46Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2018.07.016
Keywords
Chiral lattice; Micropolar elasticity; Homogenization method; Tension-twist coupling; Size effect
Funding
- National Natural Science Foundation of China [11602004, 11602081]
- Foundation for Innovative Research Groups of the National Natural Science Foundation of China [11521202]
- Project of Beijing Municipal Science & Technology Commission [Z161100001416007]
- Graduate Technological Innovation Project of Beijing Institute of Technology [2018CX20011]
Ask authors/readers for more resources
This work extends the micropolar theory for the constitutive behaviors of three-dimensional (3D) cubic chiral lattice. A novel 3D chiral lattice is proposed by introducing noncentrosymmetry into microstructure design of artificial materials. The independent micropolar elastic constants of the proposed 3D chiral lattice are deduced and divided into the isotropic and anisotropic types with orthogonal irreducible decomposition of tensor. A homogenization method for the proposed 3D chiral lattice is developed to solve mathematical relations between the elastic constants and structure parameters of the chiral lattice which are admitted by finite element (FE) analysis. Two representative numerical examples are analyzed with the FE model and the continuum model where the size effect and tension-twist coupling behavior of the proposed 3D cubic chiral lattice are accurately predicted. This work establishes a fundamental link between the macroscopic mechanical properties and microstructure of the chiral material, and provides a new channel for 3D chiral microstructure design. (C) 2018 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available