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本文先推导反平面复合材料切口尖端位移多应力场,然后用分区混合有限元法计算切口应力强度因子。 相似文献
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一个不闭锁和抗畸变的四边形厚板元 总被引:2,自引:0,他引:2
构造一个彻底消除剪切闭锁现象并且对网格畸变不敏感的四边形厚薄板通用单元RPAQ。在方法上有三个特点:第一,在厚板挠度和转角的试函数中,采用了合理匹配方案,从而在源头上彻底消除了剪切闭锁现象;第二,采用四边形面积坐标,以代替通常的等参坐标,从而使网格畸变时仍然保持高精度;第三,采用广义协调元做法,使协调条件的采用灵活多样,并保证单元的收敛性。进行了一系列数值例题测试,表明单元RPAQ能自动消除闭锁现象,在由薄板到厚板的不同情况下,在各种网格畸变的情况下,都能体现出良好的精度和数值稳定性。 相似文献
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三维切口尖端应力应变场 总被引:4,自引:0,他引:4
本文利用双重幂级数展开法分析三维切口尖端应力应变奇异性,通过切口边界条件导出切口特征方程,进而求得不同切口内角下特征值序列解答,最后推得切口尖端应力应变场。 相似文献
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龙驭球 《应用数学和力学(英文版)》1987,(7)
The functional transformations of variational principles in elasticity are classified asthree patterns:Ⅰ relaxation pattern,Ⅱ augmented pattern and Ⅲ equivalent pattern.On the basis of pattern Ⅲ,the generalized variational principles with several arbitraryparameters are formulated and their functionals are defined They are:the generalizedprinciple of single variable u with several parameters,the generalized principle of twovariables u,σ with several parameters,the generalized principle of two variables u,εwith several parameters,and the generalized principle of three veriables u,ε.σ withseveral parameters.From these principles,a series of new forms of equivalent functionalscan be obtained.When the values of these parameters are properly chosen.a series of finiteelement models can be formulated.In this paper,the question of losing effectiveness for Lagrange multiplier method isalso discussed.In order to“recover”effectiveness for multiplier method,a modifiedmethod,namely,the variable substitutio 相似文献
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根据广义协调原理,首先利用Ferguson曲面构造出薄板弯曲单元,将中厚度板视为双向深梁,由Timoshenko理论拟合单元边界,利用Ferguson曲面的张量积性质,将薄板单元推广到中厚度板。数值结果表明此单元精度高,适应性强,且不出现剪切闭锁现象。 相似文献
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In this paper, the eigenequation of notch in Reissner plate is derived by the eigenfunction method. Eigenvalues of different notches with different angles are calculated by Muller iteration method.The expression of stress and strain at the tip of notch in Reissner plate is obtained. 相似文献
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