Two-Dimensional Non-Linear Galerkin Finite Volume Solution for Concrete Structures

A two-dimensional unstructured Galerkin Finite Volume Method (GFVM) is introduced and applied for analyzing non-linear behavior of concrete structures. The developed matrix free explicit solver treats concrete as an orthotropic nonlinear material and considers the softening and hardening behavior of concrete under compression by using two equivalent uni-axial stress–strain relations. The concepts of concrete strength in a principal stress space and secant stiffness matrix are utilized to describe the bi-axial behavior of material and by using the fracture energy method the post-peak evolution of stress-strain relation is modeled. Test cases using available results are presented to demonstrate the performance of the model.

کلیدواژه ها:

Galerkin Finite Volume Method ، Nonlinear Material ، Concrete Compression