an:04041397
Zbl 0638.73030
Karamanlidis, Dimitrios
A simple and efficient curved beam element for the linear and nonlinear analysis of laminated composite structures
EN
Comput. Struct. 29, No. 4, 623-632 (1988).
0045-7949
1988
j
74S05 74E30 74B20 74S30 74K10
inter-element continuous trail functions for approximation of displacement field; mixed element; hybrid model; frame structures; curved, two-noded beam finite element; pre- and post-buckling; laminated anisotropic structures; large elastic deformations; displacements; rotations; geometrically nonlinear problem; updated Lagrangian; variational theorem due to Hellinger and Reissner
Summary: The paper reports on the development and application of a curved, two- noded beam finite element capable of analyzing the pre- and post-buckling behavior of laminated anisotropic structures undergoing large elastic deformations (displacements and rotations). The total number of the elemental degrees-of-freedom equals six. The formulation of the geometrically nonlinear problem is performed along the lines of the `updated Lagrangian' (UL) description of motion. The development of the pertinent element matrices is based on a modified version of the variational theorem due to Hellinger and Reissner which - unlike the `classical' assumed displacement formulation - allows for stress resultants and displacements to be approximated independently from one another. In order to assess the performance of the element, a number of sample problems were investigated. Some of the numerical results obtained are presented and discussed in the final part of the paper.