摘要
平面弹性与板弯曲的相似理论为构造薄板单元提供了一条有效的新途径· 由于避开了 c1连续性的困难 ,使得薄板单元的构造变得简单· 更为深入地讨论了该相似性理论的应用 ,并构造了一个新的四节点十六自由度薄板单元· 数值结果表明 ,该单元能通过分片试验 ,具有良好的收敛性和精度·
A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending. Because of avoiding the difficulty of c 1 continuity, the construction of thin plate elements becomes easier. The similarity theory and its applications were discussed more deeply, and a new four nodes, sixteen D.O.F.(degree of freedom) thin plate element was presented on the base of the similarity theory. Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision.
出处
《应用数学和力学》
EI
CSCD
北大核心
2002年第3期239-248,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助课题 (19732 0 2 0 )
