An implementation of the stiffness derivative method as a discrete analytical sensitivity analysis and its application to mixed mode in LEFM

E. Giner; F.J. Fuenmayor; A.J. Besa

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An implementation of the stiffness derivative method as a discrete analytical sensitivity analysis and its application to mixed mode in LEFM

机译：刚度导数法作为离散分析灵敏度分析的实现及其在LEFM混合模式中的应用

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In this work, an improvement in the stiffness derivative method based on a shape design sensitivity analysis is proposed, so that the error inherent in the finite difference procedure is avoided. For a global estimation of G from a given finite element solution, this approach is shown to be equivalent to the well-known J-integral when the latter is numerically implemented through its equivalent domain integral. However, it is verified that its direct application to 2D mixed mode problems of linear elastic fracture mechanics through the field decomposition technique yields estimates for G_I and G_(II) which are in general more accurate for the proposed method. The importance of the velocity field is also remarked and some suggestions for its choice are given.

机译：在这项工作中，提出了一种基于形状设计灵敏度分析的刚度导数方法的改进，从而避免了有限差分法中固有的误差。对于从给定的有限元解进行G的全局估计，当通过已知的J积分通过其等效域积分在数值上实现J积分时，该方法显示为等效于该J积分。但是，已经证明，通过现场分解技术将其直接应用于线性弹性断裂力学的2D混合模式问题，可以得出G_I和G_（II）的估计值，该估计值对于所提出的方法通常更准确。还指出了速度场的重要性，并提出了一些有关速度场选择的建议。

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《Engineering Fracture Mechanics》 |2002年第18期|共21页
作者
E. Giner; F.J. Fuenmayor; A.J. Besa;
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正文语种 eng
中图分类工程力学;
关键词
Finite element analysis; Stiffness derivative method; Equivalent domain integral method; Sensitivity analysis; Mixed mode fracture;

机译：有限元分析;刚度导数法;等效域积分法;灵敏度分析;混合模式断裂;

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An implementation of the stiffness derivative method as a discrete analytical sensitivity analysis and its application to mixed mode in LEFM

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