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Advanced reproducing kernel meshfree modeling of cracked curved shells for mixed-mode stress resultant intensity factors

机译:混合模式应力结果强度因子的裂纹弯曲壳体高级再现核网外建模

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摘要

A meshfree approach for analyzing the fracture mechanics parameters in cracked curved shells is presented. The reproducing kernel (RK) meshfree method and mapping technique are employed to approximate cracked curvilinear surfaces and field variables. In order to model the crack segment, the meshfree discretization techniques are used. The stabilized conforming nodal integration (SCNI) and sub-domain stabilized conforming integration (SSCI) techniques are adopted to accurately integrate the stiffness matrix. The contour integral is chosen to evaluate the fracture mechanics parameters and discretized using the RKs and SSCI. The J-integral value is separated into symmetric and asymmetric components using the decomposition method to extract the mode-I and -II stress resultant intensity factors (SRIFs). The numerical results reveal that the accurate J-integral value and mixed-mode SRIFs of cracked curved shells can be effectively evaluated using the proposed formulation and discretization. The simplified fatigue crack propagation is also presented.
机译:提出了一种用于分析破裂弯曲壳中裂缝力学参数的网上综合方法。使用再生内核(RK)网格纤维方法和映射技术用于近似裂纹的曲线表面和场变量。为了模拟裂缝段,使用网外离散化技术。采用稳定的符合节点集成(SCNI)和亚域稳定的符合整合(SSCI)技术来精确地整合刚度矩阵。选择轮廓积分以评估裂缝力学参数并使用RKS和SSCI离散化。使用分解方法将J-Integry值分成对称和非对称组件以提取模式-i和-ii应力结果强度因子(SRIF)。数值结果表明,可以使用所提出的配方和离散化有效地评估裂化弯曲壳的精确J-积分值和混合模式SRIF。还提出了简化的疲劳裂纹展示。

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