TY - JOUR
T1 - On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner's variational principle
AU - Xue, W. M.
AU - Karlovitz, L. A.
AU - Atluri, S. N.
N1 - Funding Information:
Acknowledgements-The results presented herein were obtained during the course of investigations supported by NASA-Lewis Research Center under grant NAG3-346 to Georgia Tech. The encouragement of Drs. Chris Chamis and Laszlo Berke is thankfully acknowledged. It is a pleasure to record here our thanks to Ms. J. Webb for her expert assistance in the preparation of the typescript.
PY - 1985
Y1 - 1985
N2 - The extensions of Reissner's two-field (stress and displacement) principle to the cases wherein the displacement field is discontinuous and/or the stress field results in unreciprocated tractions, at a finite number of surfaces ("interelement boundaries") in a domain (as, for instance, when the domain is discretized into finite elements), is considered. The conditions for the existence, uniqueness, and stability of mixed-hybrid finite element solutions based on such discontinuous fields, are summarized. The reduction of these global conditions to local ("element") level, and the attendant conditions on the ranks of element matrices, are discussed. Two examples of stable, invariant, least-order elements-a.four-node square planar element and an eight-node cubic element-are discussed in detail.
AB - The extensions of Reissner's two-field (stress and displacement) principle to the cases wherein the displacement field is discontinuous and/or the stress field results in unreciprocated tractions, at a finite number of surfaces ("interelement boundaries") in a domain (as, for instance, when the domain is discretized into finite elements), is considered. The conditions for the existence, uniqueness, and stability of mixed-hybrid finite element solutions based on such discontinuous fields, are summarized. The reduction of these global conditions to local ("element") level, and the attendant conditions on the ranks of element matrices, are discussed. Two examples of stable, invariant, least-order elements-a.four-node square planar element and an eight-node cubic element-are discussed in detail.
UR - http://www.scopus.com/inward/record.url?scp=0021897228&partnerID=8YFLogxK
U2 - 10.1016/0020-7683(85)90107-6
DO - 10.1016/0020-7683(85)90107-6
M3 - Article
AN - SCOPUS:0021897228
SN - 0020-7683
VL - 21
SP - 97
EP - 116
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 1
ER -