JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Continuum Based Plasticity Models for Cubic Symmetry Lattice Materials Under Multi-Surface Loading
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Continuum Based Plasticity Models for Cubic Symmetry Lattice Materials Under Multi-Surface Loading
Seon, Woo-Hyun; Hu, Jong-Wan;
  PDF(new window)
 Abstract
The typical truss-lattice material successively packed by repeated cubic symmetric unit cells consists of sub-elements (SE) proposed in this study. The representative continuum model for this truss-lattice material such as the effective strain and stress relationship can be formulated by the homogenization procedure based on the notation of averaged mechanical properties. The volume fractions of micro-scale struts have a significant influence on the effective strength as well as the relative density in the lattice plate with replicable unit cell structures. Most of the strength contribution in the lattice material is induced by axial stiffness under uniform stretching or compression responses. Therefore, continuum based constitutive models composed of homogenized member stiffness include these mechanical characteristics with respect to strength, internal stress state, material density based on the volume fraction and even failure modes. It can be also recognized that the stress state of micro-scale struts is directly associated with the continuum constitutive model. The plastic flow at the micro-scale stress can extend the envelope of the analytical stress function on the surface of macro-scale stress derived from homogenized constitutive equations. The main focus of this study is to investigate the basic topology of unit cell structures with the cubic symmetric system and to formulate the plastic models to predict pressure dependent macro-scale stress surface functions.
 Keywords
Homogenization;Lattice materials;Cubic symmetry;Finite Element (FE);
 Language
English
 Cited by
1.
AISC 2005 코드를 활용한 콘크리트 충전 합성기둥의 해석과 평가,박지웅;이두재;장성수;허종완;

복합신소재구조학회 논문집, 2012. vol.3. 3, pp.9-21 crossref(new window)
 References
1.
박원태, 장석윤, 천경식 (2010), 복합적층 및 샌드 위치판 전단변형함수에 관한 상호비교연구, 한국 복합신소재구조학회 논문집, 제1권 3호, pp.1-9.

2.
ABAQUS v. 6.7-1 (2006) Theory and User's Manual, Hibbit, Karlsson & Sorensen, Inc., Pawtucket, RI.

3.
Biagi, R. and Bart-Smith, H. (2007) Imperfection Sensitivity of Pyramidal Core Sandwich Structures, International Journal of Solids and Structures, v. 44, pp. 4690-4706. crossref(new window)

4.
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, v.49, pp. 1747-1769. crossref(new window)

5.
Doyoyo, M., Hu, J.W. (2006) Multi-axial failure of metallic strut-lattice materials composed of short and slender struts. International Journal of Solids and Structures, 43, 6115-6139. crossref(new window)

6.
Fuller, R.B. (1961) Octet Truss. U.S. Patent Serial No. 2, 986, 241.

7.
Gibson, L.J., Ashby, M.F. (1997) Cellular Solids: Structure and Properties, 2nd Edition. Cambridge University Press, Cambridge.

8.
Lake, S.M. (1992), Stiffness and strength tailoring in uniform space-filling truss structures, NASA TP-3210.

9.
Nayfeh, A.H., Hefzy, M.S. (1978), Continuum modeling of three-dimensional truss-like space structures. AIAA Journal 16 (8), 779-787. crossref(new window)