摘要
推导出基于修正Hellinger Reissner二类变量广义变分原理的杂交 混合奇异元模型 ,建立了基于Reissner型板理论之上的杂交 混合奇异弯曲板单元列式 ,并进行了大量的数值计算。计算结果表明 ,本文提出的方法是一种可用于计算含裂纹平板弯曲应力强度因子的高效、可靠。
Based on the modified Hellinger-Reissner variational principle, a hybrid/mixed singular element model is derived. And a new formulation method of a hybrid/mixed singular bending plate element, which is based on Reissner's plate theory, is proposed. And 4-nodes arbitrary quadrilateral hybrid/mixed singular bending plate element formulas including the effects of transverse shear deformation is derived. Then by the use of this method, a large quantity of numerical computations are carried out, at the same time, the results are compared with the results obtained by theoretical solutions and the results obtained by other singular finite element methods. The results shows: the hybrid/mixed singular plate element method proposed in this paper has many significant advantages as high efficiency, credibility and simplicity to calculate the bending stress intensity factors of a cracked plate.
出处
《机械强度》
EI
CAS
CSCD
北大核心
2001年第3期329-331,共3页
Journal of Mechanical Strength
