A stress recovery procedure for 3-D linear finite elements

Title

A stress recovery procedure for 3-D linear finite elements

 Author

Sharma, R.

Contributor

Aragon, A.M. (mentor)
Langelaar, M. (mentor)

Faculty

Mechanical, Maritime and Materials Engineering

 Department

Precision and Microsystems Engineering

 Date

2016-11-17

 Abstract

In this thesis, a stress recovery procedure for 3-D linear finite elements is presented. The formulation is based on a modified version of the Hu-Washizu variational principle, in which the recovered stresses are calculated by minimizing the error with respect to the directly-computed stresses, and ensuring that the recovered stresses satisfy equilibrium in an average sense over the patch of elements. Through a set of examples, it is demonstrated that, in linear elasticity the recovered stresses converge at a higher rate than the directly-calculated stresses and that in some cases the rate of convergence is the same as that of the displacement field. This procedure builds on work of Payen and Bathe. The current technique can be readily implemented into existing finite element codes. The method is implemented and verified in hybrida, a python and C++ based finite element package being developed in the Structural Optimization and Mechanics (SOM) group of the PME department in the 3me faculty of TU Delft

 To reference this document use:

http://resolver.tudelft.nl/uuid:97557770-5fc6-4930-b0d5-7476e2d0e050

 Embargo date

2017-11-17

 Part of collection

Student theses

 Document type

master thesis

 Rights

(c) 2016 Sharma, R.
Files
PDF Master_Thesis_Rahul.pdf 9.56 MB
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