| Title |
A Study in the Nonlinear Analysis of Members with Opening by Using the Displacement Transfer Matrix |
| Authors |
Kim Ju-Won ; Yoon Sung-Kee |
| Keywords |
Displacement Transfer Matrix ; Opening ; Elasto-plastic Problem ; Local Buckling ; Buckling |
| Abstract |
This study permits the finite element method by using the transfer matrix combined the beam element and shell element. And the non-linear finite element analysis has been presented to investigate the ultimate load and deformation of nonprismatic members with openings. The stiffness matrix for a beam element having 14 degrees of freedom of a general asymmetric thin-walled open-section is formulated. The governing equation for thin-walled elements is developed using complete expression for the strain, including the second order strain terms. The efficiency of a 4-nodes quadrilateral shell element is shown for calculations involving non-linearities such as large rotations and large strains. The membrane part of the element has 12 degrees of freedom including rotational or 'drilling' degrees of freedom at the nodes. The bending part of element also has 12 degrees of freedom. This element uses the discrete Krichhoff technique. Through the discrete layered method, the elasto-plastic incremental constitutive relation is defined with von Mises yield criterion and associated flow rule in which the plastic potential is assumed to be the yield function. The transfer matrix combined beam element and shell element, is derived by using equilibrium equations. An approximate non-linear analysis has achieved by load incremental solution and tangential stiffness. |