An improved stress recovery technique for low-order 3D finite elements

Sharma, Rahul; Zhang, J.; Langelaar, Matthijs; van Keulen, A.; Aragon, A.M.

doi:10.1002/nme.5734

An improved stress recovery technique for low-order 3D finite elements

Title

An improved stress recovery technique for low-order 3D finite elements

Author

Sharma, Rahul
Zhang, J. (TU Delft Computational Design and Mechanics)
Langelaar, Matthijs (TU Delft Computational Design and Mechanics)
van Keulen, A. (TU Delft Computational Design and Mechanics)
Aragon, A.M. (TU Delft Computational Design and Mechanics)

Date

2018

Abstract

In this paper, we propose a stress recovery procedure for low-order finite elements in 3D. For each finite element, the recovered stress field is obtained by satisfying equilibrium in an average sense and by projecting the directly calculated stress field onto a conveniently chosen space. Compared with existing recovery techniques, the current procedure gives more accurate stress fields, is simpler to implement, and can be applied to different types of elements without further modification. We demonstrate, through a set of examples in linear elasticity, that the recovered stresses converge at a higher rate than that of directly calculated stresses and that, in some cases, the rate of convergence is the same as that of the displacement field.

Subject

Finite element analysis
Low-order 3D finite elements
Post-processed stress
Stress convergence
Stress recovery

To reference this document use:

http://resolver.tudelft.nl/uuid:7e03b12d-9885-49ba-a240-9a98e5b44e66

DOI

https://doi.org/10.1002/nme.5734

ISSN

0029-5981

Source

International Journal for Numerical Methods in Engineering, 114 (1), 88-103

Part of collection

Institutional Repository