STOCHASTIC GALERKIN FINITE ELEMENT METHOD FOR NONLINEAR ELASTICITY AND APPLICATION TO REINFORCED CONCRETE MEMBERS

Appendix G Finite Element Meshes Used for Comparisons to Tests on Reinforced Concrete Members

Galerkin finite element method for one nonlinear integro-differential model

Keywords: Nonlinear integro-differential equations Finite elements Galerkin method a b s t r a c t Galerkin finite element method for the approximation of a nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance is studied. First type initial-boundary value problem is investigated. The convergence of the finite element scheme is proved. The ...

Stochastic nonlinear fracture mechanics finite element analysis of concrete structures

The paper summarizes the main outcomes achieved within the framework of the research project “Nonlinear fracture mechanics of concrete using stochastic finite elements and random fields”. The project focused on randomization of nonlinear finite element analysis of concrete structures. Theoretical as well as practical application aspects are presented emphasizing the conceptual framework and key...

Discontinuous Galerkin and the Crouzeix–raviart Element: Application to Elasticity

We propose a discontinuous Galerkin method for linear elasticity, based on discontinuous piecewise linear approximation of the displacements. We show optimal order a priori error estimates, uniform in the incompressible limit, and thus locking is avoided. The discontinuous Galerkin method is closely related to the non-conforming Crouzeix–Raviart (CR) element, which in fact is obtained when one ...

Coupling Nonlinear Element Free Galerkin and Linear Galerkin Finite Volume Solver for 2D Modeling of Local Plasticity in Structural Material

This paper introduces a computational strategy to collaboratively develop the Galerkin Finite Volume Method (GFVM) as one of the most straightforward and efficient explicit numerical methods to solve structural problems encountering material nonlinearity in a small limited area, while the remainder of the domain represents a linear elastic behavior. In this regard, the Element Free Galerkin met...