A discontinuous Galerkin formulation for nonlinear analysis of multilayered shells refined theories

A C Discontinuous Galerkin Formulation for Thin Shells

This paper presents a C discontinuous Galerkin formulation for the simulation of thin shells. The method is based on Koiter’s shell model and allows finite element solutions to be obtained by using standard C Lagrange basis functions in terms of the displacement only. It invokes a curvature-like term by applying a lifting operation which transforms jumps in the normal rotation across element bo...

Unified formulation of geometrically nonlinear refined beam theories

By using the Carrera Unified Formulation (CUF) and a total Lagrangian approach, the unified theory of beams including geometrical nonlinearities is introduced in this paper. According to CUF, kinematics of one-dimensional structures are formulated by employing an index notation and a generalized expansion of the primary variables by arbitrary cross-section functions. Namely, in this work, lowto...

Discontinuous Galerkin methods for nonlinear elasticity

Formulation of discontinuous Galerkin methods for relativistic astrophysics

The DG algorithm is a powerful method for solving pdes, especially for evolution equations in conservation form. Since the algorithm involves integration over volume elements, it is not immediately obvious that it will generalize easily to arbitrary time-dependent curved spacetimes. We show how to formulate the algorithm in such spacetimes for applications in relativistic astrophysics. We also ...

OPTIMIZATION FORMULATION FOR NONLINEAR STRUCTURAL ANALYSIS

In this paper, the effect of angle between predictor and corrector surfaces on the structural analysis is investigated. Two objective functions are formulated based on this angle and also the load factor. Optimizing these functions, and using the structural equilibrium path’s geometry, lead to two new constraints for the nonlinear solver. Besides, one more formula is achieved, which was p...