Chinese Journal of Theoretical and Applied Mechani ›› 2007, Vol. 23 ›› Issue (1): 54-62.DOI: 10.6052/0459-1879-2007-1-2005-407

• Research paper • Previous Articles     Next Articles

Elasto-plastic analysis for 2d structures with truss-like materials

Lin Liu Jun Yan Gengdong Cheng   

  • Received:2005-08-22 Revised:1900-01-01 Online:2007-01-18 Published:2007-01-18

Abstract: The elasto-plastic analysis of structures composed of truss-like materials takes much time and considerable resources in modeling and numerical calculation if all struts are taken into consideration. The main purpose of this paper is to speed up the solution of this class of problems. The unit cell is simplified as a truss model according to the large ratio of strut's length to the section size. Numerical homogenization is carried out due to the periodic arrangement of cells in space. The original problem is thereby transformed to two interrelated problems of two different scales: a nonlinear elastic continuum computation in macro-scale and several elasto-plastic analyses of small-scale truss systems in micro-scale. Monotone load, non-monotone load, regular macro-structure and irregular macro-structure with imperfect unit cells are, respectively, considered in two numerical examples. In comparison with the results of the actual structures, the proposed method is found to enjoy the same precision but to take less time. At last the applicable conditions of the proposed method are discussed.

Key words: truss-like material, elasto-plastic computation, multi-scale analysis, numerical homogenization