TY - JOUR
T1 - Arbitrary lagrangian-eulerian petrov-galerkin finite elements for nonlinear continua
AU - Wing Kam Liu, Kam Liu
AU - Herman, Chang
AU - Jiun-Shyan, Chen
AU - Ted, Belytschko
N1 - Funding Information:
*The support of this research by the Air Force Office, the Army Research Foundation is gratefully acknowledged.
PY - 1988/6
Y1 - 1988/6
N2 - The fundamental arbitrary Lagrangian-Eulerian (ALE) mechanics and its finite element formulation are given. The tangential stiffness matrix, which is shown to be composed of the linarized material response matrix, the geometrical stiffness matrix, and the ALE transport matrix are derived from a consistent linearization procedure. Various numerical methods for the ALE finite element equations are then presented, and several examples are analyzed to examine some features of the method.
AB - The fundamental arbitrary Lagrangian-Eulerian (ALE) mechanics and its finite element formulation are given. The tangential stiffness matrix, which is shown to be composed of the linarized material response matrix, the geometrical stiffness matrix, and the ALE transport matrix are derived from a consistent linearization procedure. Various numerical methods for the ALE finite element equations are then presented, and several examples are analyzed to examine some features of the method.
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U2 - 10.1016/0045-7825(88)90011-4
DO - 10.1016/0045-7825(88)90011-4
M3 - Article
AN - SCOPUS:0024031986
VL - 68
SP - 259
EP - 310
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 3
ER -