Large Deformation Analysis of Nonlinear Homogeneous and Heterogeneous Media Using an Arbitrary Lagrangian-Eulerian Finite Element Method
Final rept. 15 Mar-15 Mar 1991
OHIO STATE UNIV COLUMBUS DEPT OF ENGINEERING MECHANICS
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In this paper, a new finite element formulation has been developed for media in which the second phase particulates or unidirectional fibers are randomly dispersed in a matrix. Deficiencies of the conventional mesh generators can be overcome by discretizing the domain using the method of Dirichlet tessellation. This method generates convex polygons known as Voronoi polygons which are treated as elements in a finite element analysis. An assumed stress hybrid method has been used to formulate the element stiffness matrix. Effect of the second phase has been incorporated in each element using a self-consistent type method. Several numerical examples have been conducted to validate the effectiveness of the model.
- Numerical Mathematics