TY - JOUR

T1 - On the equivalence of mode decomposition and mixed finite elements based on the hellinger-reissner principle. part I

T2 - Theory

AU - Stolarski, H.

AU - Belytschko, T.

N1 - Funding Information:
*The support of the Air Force Office of Scientific Research under Grant F-49620-82-K-0013 acknowledged.

PY - 1986/11

Y1 - 1986/11

N2 - A theorem is presented which defines the conditions under which an equivalent mixed finite element based on the Hellinger-Reissner principle exists for a given mode decomposition element. Mode decomposition elements are a family of elements in which parasitic stresses are removed by a suitable projection to enhance the rate of convergence of elements which tend to lock; so far they were outside of any standard finite element formulation. Elements that, by virtue of this theorem, are found equivalent to appropriate mixed elements can be then analyzed by techniques which exist within the framework of Hellinger-Reissner formalism.

AB - A theorem is presented which defines the conditions under which an equivalent mixed finite element based on the Hellinger-Reissner principle exists for a given mode decomposition element. Mode decomposition elements are a family of elements in which parasitic stresses are removed by a suitable projection to enhance the rate of convergence of elements which tend to lock; so far they were outside of any standard finite element formulation. Elements that, by virtue of this theorem, are found equivalent to appropriate mixed elements can be then analyzed by techniques which exist within the framework of Hellinger-Reissner formalism.

UR - http://www.scopus.com/inward/record.url?scp=0022812209&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022812209&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(86)90149-0

DO - 10.1016/0045-7825(86)90149-0

M3 - Article

AN - SCOPUS:0022812209

SN - 0045-7825

VL - 58

SP - 249

EP - 263

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3

ER -