摘要
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.
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.
基金
theNationalNaturalScienceFoundationofChina ( 1 973 2 0 2 0 )
