Continuum models for materials with lattice-like microstructure
Date of Original Version
Within the framework of the finite element method, a general technique is presented to compute the continuum constitutive matrix of an equivalent lattice-like microstructural material. The equivalency between the continuum and microstructural stiffness matrices produces an over-determined system which is solved using the Moore-Penrose generalized inverse procedure. Although the resulting solution is not exact, it is unique in the least-squares sense. The present study is limited to two-dimensional problems; however, the technique can easily be extended to three dimensions. Several specific examples are given to demonstrate the effectiveness and accuracy of the method. © 1992.
Computers and Structures
Adley, M. D., and M. H. Sadd. "Continuum models for materials with lattice-like microstructure." Computers and Structures 43, 1 (1992): 13-18. doi:10.1016/0045-7949(92)90075-B.