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ARTICLE
On the yield surface of a typical bending-dominant periodic lattice metamaterial
1
Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang, China
Submission date: 2022-07-27
Final revision date: 2022-11-06
Acceptance date: 2022-11-18
Online publication date: 2023-01-18
Publication date: 2023-01-30
Corresponding author
Journal of Theoretical and Applied Mechanics 2023;61(1):175-187
KEYWORDS
TOPICS
ABSTRACT
A theoretical method for analyzing the initial yield of a typical bending-dominant peri-
odic lattice (BDPL) is established. Based on the principle of strain energy equivalence, the
macroscopic effective stiffnesses of lattices are calculated. An empirical formula is employed
to consider the contributions of both the axial force and bending moment. The initial yield
surface of BDPL can be figured out by comparing the effective stress of each strut to the
yield strength of the matrix material. The method is applicable to various BDPLs, which
we believe is a helpful extension to the method for lattices comprising axial-tension bars in
the literature.
REFERENCES (17)
1.
Chen Y., Li T., Scarpa F., Wang L., 2017, Lattice metamaterials with mechanically tunable Poisson’s ratio for vibration control, Physical Review Applied, 7, 024012.
2.
Deshpande V., Ashby M., Fleck N., 2001, Foam topology: bending versus stretching dominated architectures, Acta Materialia, 49, 1035-1040.
3.
Deshpande V.S., Fleck N.A., Ashby M.F., 2001, Effective properties of the octet-truss lattice material, Journal of the Mechanics and Physics of Solids, 49, 1747-1769.
4.
Evans A., 2001, Lightweight materials and structures, MRS Bulletin, 26, 790-797.
5.
Evans A.G., Hutchinson J.W., Fleck N.A., Ashby M.F., Wadley H.N.G., 2001, The topological design of multifunctional cellular metals, Progress in Materials Science, 46, 309-327.
6.
Fan H., Yang W., 2006, An equivalent continuum method of lattice structures, Acta Mechanica Solida Sinica, 19, 103-113.
7.
Frenzel T., Kadic M., Wegener M., 2017, Three-dimensional mechanical metamaterials with a twist, Science, 358, 1072-1074.
9.
Karihaloo B.L., Shao P.F., Xiao Q.Z., 2003, Lattice modelling of the failure of particle composites, Engineering Fracture Mechanics, 70, 2385-2406.
10.
Lilliu G., van Mier J.G., 2003, 3D lattice type fracture model for concrete, Engineering Fracture Mechanics, 70, 927-941.
11.
Liu J., Gu T., Shan S., Sung H.K., Weaver J.C., Bertoldi K., 2016, Harnessing buckling to design architected materials that exhibit effective negative swelling, Advanced Materials, 28, 6619-6624.
12.
Liu J.X., Deng S.C., Zhang J., Liang N.G., 2007, Lattice type of fracture model for concrete, Theoretical and Applied Fracture Mechanics, 48, 269-284.
13.
Liu J.X., Zhao Z.Y., Deng S.C., Liang N. G., 2008, A simple method to simulate shrinkage-induced cracking in cement-based composites by lattice-type modeling, Computational Mechanics, 43, 477-492.
14.
Wang A., McDowell D., 2004, The in-plane mechanical properties of various periodic honey-combs, Journal of Engineering of Material and Technology, 126, 137-156.
15.
Wang A., McDowell D.L., 2005, Yield surfaces of various periodic metal honeycombs at intermediate relative density, International Journal of Plasticity, 21, 285-320.
16.
Wang Y., Chi Z., Liu J., 2020, On buckling behaviors of a typical bending-dominated periodic lattice, Composite Structures, 258, 113204.
17.
Xue Z., Vaziri A., Hutchinson J.W., 2005, Non-uniform hardening constitutive model for compressible orthotropic materials with application to sandwich plate cores, Computer Modeling in Engineering and Sciences, 10, 79.
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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