Bending of a beam with finite volume schemes

Abstract

The paper is dedicated to a new very high-order finite volume method based on polynomial reconstruction operators to solve the one-dimensional problem of beams subjected to a combination of tensile and bending forces. The model involves the classical linear elasticity model coupled with a shell model for the bending. The proceeding is ended with the application of very high-order scheme where an intramedullary nail is simulated to determine the stress critical point.