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An accurate Ritz approach for analysis of cracked stiffened plates

机译：精确的Ritz方法分析开裂的加劲板

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摘要

The present paper promotes the capabilities of the Ritz method in accurately predicting the stress intensity factor of cracked plates with either continuously or discretely attached stiffeners. The original plate domain is initially treated as an assembly of a small number of disjoint subdomains, chosen according to the crack and stiffener locations, in order to properly construct Ritz bases accounting for discontinuities. A complete set of hierarchic polynomials is adopted to locally approximate the displacement field within each subdomain, and then the displacement continuity is exactly imposed between subdomains whenever required. The accuracy of the present solutions are confirmed through comparison with published data, when available, and with converged results obtained from developed finite element models. The proposed procedure is further employed to investigate the effect that a propagating crack has on the stress intensity factor as the crack approaches and crosses a stiffener. (C) 2019 Elsevier Inc. All rights reserved.
机译：本文提高了Ritz方法在连续或不连续地连接加劲肋的情况下准确预测破裂板应力强度因子的能力。最初将板区视为根据裂缝和加劲肋位置选择的少量不相交子域的组合，以便正确构造考虑不连续性的Ritz基。采用完整的分层多项式集来局部近似每个子域内的位移场，然后在需要时在子域之间精确施加位移连续性。通过与已发布的数据（如果有）进行比较，并与从已开发的有限元模型获得的收敛结果进行比较，可以确定本解决方案的准确性。拟议的程序被进一步用来研究当裂纹接近并穿过加劲肋时，扩展裂纹对应力强度因子的影响。 （C）2019 Elsevier Inc.保留所有权利。

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