TY - JOUR
T1 - An analysis of, and remedies for, kinematic modes in hybrid-stress finite elements
T2 - selection of stable, invariant stress fields
AU - Rubinstein, R.
AU - Punch, E. F.
AU - Atluri, S. N.
N1 - Funding Information:
Support for this work, receivedf rom MOSR under Grant 81-00576a, s well as the personal encouragemento f Dr. A. Amos are gratefully acknowledged.A special note of thanks is extendedt o Ms. M. Eiteman for her careful typing of this manuscript.
PY - 1983/5
Y1 - 1983/5
N2 - In this paper a study of the existence of spurious kinematic modes in hybrid-stress finite elements, based on assumed equilibrated stresses and compatible boundary displacements, and the resulting rank-deficiency of the element stiffness matrix, is presented. A method of selection of least-order, stable, invariant, stress fields is developed so as to ensure the prevention of kinematic modes. A 20-node cubic element, a 8-node cubic element and a 4-node square, based on assumed equilibrated stresses within the element and compatible displacements at the boundary of the element, are discussed for purposes of illustration. Comments are made on the generality of the present method, which is based on group theoretical arguments.
AB - In this paper a study of the existence of spurious kinematic modes in hybrid-stress finite elements, based on assumed equilibrated stresses and compatible boundary displacements, and the resulting rank-deficiency of the element stiffness matrix, is presented. A method of selection of least-order, stable, invariant, stress fields is developed so as to ensure the prevention of kinematic modes. A 20-node cubic element, a 8-node cubic element and a 4-node square, based on assumed equilibrated stresses within the element and compatible displacements at the boundary of the element, are discussed for purposes of illustration. Comments are made on the generality of the present method, which is based on group theoretical arguments.
UR - http://www.scopus.com/inward/record.url?scp=0020752405&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(83)90030-0
DO - 10.1016/0045-7825(83)90030-0
M3 - Article
AN - SCOPUS:0020752405
SN - 0045-7825
VL - 38
SP - 63
EP - 92
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1
ER -