二次モードを追加した一般化平面要素による幾何学的非線形解析

抄録

A formulation of novel in-plane generalized finite element which can be utilized in geometrical non-linear analysis is presented and some analyses using the proposed element are conducted. The proposed element can reproduce quadratic deformation mode with only corner nodes and it has no linear dependency which is one of the well known problems of generalized finite element. The formulation is based on the rate form of the virtual work principle and obtained by a simple extension of standard FEM. The convergence of analysis solution and robustness for element distortion are investigated and the results are compared with those of standard displacement based first and second order elements. The proposed element provides a good solution convergence which is as well or better than those of the conventional second order elements. Additionally, it is shown that high-precision solution is given when the mesh is strongly distorted.