TY - JOUR
T1 - Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids. Part 2
T2 - Anisotropic and advanced beam models
AU - Petrov, E.
AU - Géradin, M.
N1 - Funding Information:
The first author acknowledges the financial support of the Belgian Office for Scientific, Technical and Cultural Affairs (SSTC) to accomplish this work. The second author acknowledgesa lso the support of SSTC under contract PA1 P4/24.
PY - 1998/11/2
Y1 - 1998/11/2
N2 - Consistent finite element formulations for beams made of anisotropic materials and taking into account non-classic, inhomogeneous torsion have been developed. The formulations are based on a kinematical hypothesis that includes exact solutions for three-dimensional solids under terminal loading. They describe warping of the cross-sections in and out of their planes as well as their rigid displacements and rotations. Their large deformation and geometrically exact description by finite rotations are considered for the cases of monoclinic, orthotropic and transversely isotropic materials. Exact solutions for the solid made from a monoclinic material have been deduced.
AB - Consistent finite element formulations for beams made of anisotropic materials and taking into account non-classic, inhomogeneous torsion have been developed. The formulations are based on a kinematical hypothesis that includes exact solutions for three-dimensional solids under terminal loading. They describe warping of the cross-sections in and out of their planes as well as their rigid displacements and rotations. Their large deformation and geometrically exact description by finite rotations are considered for the cases of monoclinic, orthotropic and transversely isotropic materials. Exact solutions for the solid made from a monoclinic material have been deduced.
UR - http://www.scopus.com/inward/record.url?scp=0032476397&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(98)00060-7
DO - 10.1016/S0045-7825(98)00060-7
M3 - Article
AN - SCOPUS:0032476397
SN - 0045-7825
VL - 165
SP - 93
EP - 127
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1-4
ER -