TY - JOUR
T1 - Applications of isoparametric three-dimensional hybrid-stress finite elements with least-order stress fields
AU - Punch, E. F.
AU - Atluri, S. N.
PY - 1984
Y1 - 1984
N2 - This paper investigates the factors relating to element stability, coordinate invariance and optimality in 8- and 20-noded three-dimensional brick elements in the context of hybrid-stress formulations with compatible boundary displacements and both a priori and a posteriori equilibrated assumed stresses. Symmetry group theory is used to guarantee the essential non-orthogonality of the stress and strain fields, resulting in a set of least-order selections of stable invariant stress polynomials. The performance of these elements is examined in numerical examples providing a broad range of analytical stress distributions, and the results are favourably compared to those of the displacement formulation and a stress-function based complete stress approach with regard to displacements, stresses, sampling, convergence and distortion sensitivity.
AB - This paper investigates the factors relating to element stability, coordinate invariance and optimality in 8- and 20-noded three-dimensional brick elements in the context of hybrid-stress formulations with compatible boundary displacements and both a priori and a posteriori equilibrated assumed stresses. Symmetry group theory is used to guarantee the essential non-orthogonality of the stress and strain fields, resulting in a set of least-order selections of stable invariant stress polynomials. The performance of these elements is examined in numerical examples providing a broad range of analytical stress distributions, and the results are favourably compared to those of the displacement formulation and a stress-function based complete stress approach with regard to displacements, stresses, sampling, convergence and distortion sensitivity.
UR - http://www.scopus.com/inward/record.url?scp=0021294622&partnerID=8YFLogxK
U2 - 10.1016/0045-7949(84)90050-6
DO - 10.1016/0045-7949(84)90050-6
M3 - Article
AN - SCOPUS:0021294622
SN - 0045-7949
VL - 19
SP - 409
EP - 430
JO - Computers and Structures
JF - Computers and Structures
IS - 3
ER -