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含坑点腐蚀的壳体有限元方法 被引量:13

Finite Element method of pitting corrosive shell
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摘要 建立了坑点腐蚀壳板的分层模型(腐蚀层+完好层),求出了腐蚀层的等效材料常数(等效弹性模量和等效泊松比)。开展了坑点腐蚀的应力集中分析,坑点腐蚀壳板的应力集中可分为薄膜应力集中和弯曲应力集中。以超参数壳元为基础推导了坑点腐蚀壳体单元,导出了坑点腐蚀壳体单元的刚度矩阵和等效结点载荷向量的有限元表达格式,单元刚度矩阵通过沿壳体厚度方向的分段积分求得,在积分时腐蚀层的材料常数取力学等效的材料常数,在计算单元等效结点载荷向量时考虑了由腐蚀引起的偏心载荷,在求解单元应力时考虑了坑点腐蚀应力集中的影响,并对应力进行了相应修正。 A two layer model (corrosive layer + intact layer) of corrosive shell was set up. The equivalent material constants (equivalent Young's modulus and equivalent Poisson's ratio) of corrosive layer were proposed. The research of stress concentration of pitting corrosion was carried out. The stress concentration of corrosive shell was classified into membrane stress concentration and bending stress concentration.A FE shell element named pitting corrosion shell element (PCSE) was deduced based on super parameter shell element, the FE formulas of stiffness matrix and equivalent node load vector of PCSE were proposed. The element stiffness matrix was calculated by integral and the integral path was divided into 2 parts along the shell thickness. The equivalent material constant was used in the corrosive layer, the eccentric load caused by pitting corrosion was taken into account when calculating the element equivalent node load vector.The stress concentration was taken into account when calculating element stress and corresponding revision of stress was carried out.
作者 徐强 万正权
出处 《船舶力学》 EI 北大核心 2010年第1期84-93,共10页 Journal of Ship Mechanics
关键词 坑点腐蚀 坑点腐蚀壳体单元 等效弹性模量 等效泊松比 应力集中 pitting corrosion pitting corrosion shell element equivalent Young's modulus equivalent Poisson's ratio stress concentration
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参考文献12

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