ISSN:
1069-8299
Keywords:
assumed strain methods
;
Hu-Washizu principle
;
stress recovery
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
An alternative justification of the B-bar procedure using the Hu-Washizu variational principle is presented. In contrast to previous work, the derivation starts from the three groups of algebraic equations (strain-displacement equations, stress-strain equations and equations of equilibrium) obtained by discretization of the Hu-Washizu functional. Based on an appropriate assumption, these equations can be manipulated to yield the element stiffness matrix in the form typical of the B-bar procedure. This approach directly leads to a stress-recovery formula different from the one suggested before. The theory is illustrated by application to a family of quadrilateral plane elements.
Additional Material:
1 Tab.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1640110408
