Novel unified finite element schemes for computational solid mechanics based on Bézier elements

Kadapa, Chennakesava

Abstract

This work introduces a novel unified finite element framework for computational solid mechanics based on quadratic Bézier triangular and tetrahedral elements that can be readily generated by exploiting the existing mesh generators for quadratic Lagrange elements. New B̄ and F̄ elements and two new mixed elements, BT2/BT0 and BT2/BT1, are introduced for dealing with the issues associated with volumetric and shear locking as well as for performing computationally efficient explicit elastodynamics simulations of problems modelled with nearly incompressible elastic and elastoplastic material models. By successfully simulating challenging benchmark examples, it is shown that the proposed work offers a simple unified finite element framework that is robust, accurate and computationally very efficient for performing the simulations of a wide variety of challenging problems in solid mechanics.

Citation

Kadapa, C. (2019, April). Novel unified finite element schemes for computational solid mechanics based on Bézier elements. Paper presented at UKACM 2019, London

• Presentation Conference Type: Conference Paper (unpublished)
• Conference Name: UKACM 2019
• Start Date: Apr 10, 2019
• End Date: Apr 12, 2019
• Deposit Date: Aug 29, 2022
• Public URL: http://researchrepository.napier.ac.uk/Output/2893925