Citation link:
Authors:
Tenchev, Rosen Tenchev; Тенчев, Росен Тенчев
Title:
Analytical expressions for the stress distribution in a 4-node isoparametric finite element
Other Titles:
Аналитични изрази за разпределението на напреженията в 4-възлов изопараметричен краен елемент
Date of Issue:
1995
Is Part of:
Proceedings of the Technical University – Sofia, 48(5), 1995, pp. 131-138
Publisher:
Технически университет - София
Identifiers:
0374-342X [issn]
Type:
Article
Language:
eng
Subject:
изопараметричен краен елемент; отностителни деформации; графични пост-процесори
Abstract:
For the general displacement isoparametric finite elements the displacement field is approximated by a polynom. Since the strains are first derivatives of the displacements and FE post-processors usually use the nodal stress values and polynomial shape function to approximate the stress field it is a common mistake made by FE users to as same that the stress and strain distribution is a polynomial, too. Explicit formulas for these distributions are given, showing that, due to the isoparametric mapping, they are rational functions involving a non-constant Jacobian in the denominator.
Sponsors:
Съдържа формули и схеми. – Библиогр., с. 138.
