Recasting theory of elasticity with micro-finite elements

In the classical theory of elasticity, a body is initially modeled as a homogeneous and dense assemblage of constituent material particles. The kernel concept of elastic deformation is the displacement of the particle that associates the current configuration with the reference one. In this paper, we exploit an alternative constituent micro-finite element, and use the stretch of the element as the essential quality to recast the theory of elasticity. It should be realized that such a treatment means that the elastic body can be modeled as a finite covering of elements and consequently characterized by a manifold. The recasting of the elasticity theory becomes more feasible for dealing with defects and topological evolution.