Multi-scale EFG model for Simulating Concrete Material

In this paper, a new multi-scale numerical model is presented using meshless element free Galerkin (EFG) method to simulate the multi-scale constitutive relation of concrete. The scale separation is based on the decomposition of the mesh free shape function into alpha and beta scales, similar decomposition is also adopted for the constitutive equations. And the constitutive relations in different scales for concrete are established. The multi-scale EFG model is utilized for discretization of components of concrete block, which are aggregate, cement and transition region. The strengths of these components are adopted according to Weibull distribution. Consequently, the multi-scale EFG model is applied to describe the evolutionary processes of damage, the propagation of cracks and the characteristics of hysteresis of concrete. The plain static analysis of concrete block is performed by using this model and the calculated result is discussed.