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在等效线性弹性断裂力学R曲线框架下使用内聚定律和优化算法对玻璃纤维增强复合材料的I型层间损伤进行模拟

Simulation of Mode I Interlaminar Damage of a GFRP Composite Using Cohesive Laws in the Framework of the Equivalent LEFM R-Curve and an Optimised Algorithm.

作者信息

Torres Luis, Saavedra Karin, Pincheira Gonzalo, Pina Juan Carlos

机构信息

Magíster en Ciencias de la Ingeniería c/m Ingeniería Mecánica, Facultad de Ingeniería, Campus Curicó, Universidad de Talca, Curicó 3340000, Chile.

Departamento de Tecnologías Industriales, Campus Curicó, Universidad de Talca, Curicó 3340000, Chile.

出版信息

Polymers (Basel). 2021 May 4;13(9):1482. doi: 10.3390/polym13091482.

DOI:10.3390/polym13091482
PMID:34064442
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8124846/
Abstract

This paper is focused on mode I delimitation of a unidirectional glass fibre reinforced polymer (GFRP) composite. The aim is to propose an accurate and simple characterisation of three cohesive zone models (CZM)-bilinear, trilinear, and potential-from the measurement of the load-displacement curve during a double cantilever beam experimental test. For that, a framework based on the equivalent linear elastic fracture mechanics (LEFM) R-curve is here proposed, which has never before been developed for a bilinear and a potential CZM. Besides, in order to validate this strategy, an optimisation algorithm for solving an inverse problem is also implemented. It is shown that the parameters' identification using the equivalent LEFM R-curve enables the same accuracy but reduces 72% the numerical efforts respect to a "blind fitting" (i.e., the optimisation algorithm). Therefore, even if optimisation techniques become popular at present due to their easy numerical implementation, strategies founded on physical models are still better solutions especially when evaluating the objective function is expensive as in mechanical problems.

摘要

本文聚焦于单向玻璃纤维增强聚合物(GFRP)复合材料的Ⅰ型断裂界定。目的是通过双悬臂梁实验测试中载荷 - 位移曲线的测量,对三种内聚区模型(CZM)——双线性、三线性和势模型——提出准确且简单的表征方法。为此,本文提出了一个基于等效线弹性断裂力学(LEFM)R曲线的框架,该框架此前从未针对双线性和势CZM开发过。此外,为了验证该策略,还实现了一种用于解决反问题的优化算法。结果表明,使用等效LEFM R曲线进行参数识别能够达到相同的精度,但相较于“盲目拟合”(即优化算法),可减少72%的数值计算量。因此,尽管目前优化技术因其易于数值实现而受到欢迎,但基于物理模型的策略仍是更好的解决方案,尤其是在评估目标函数成本高昂的机械问题中。

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本文引用的文献

1
The role of delamination in failure of fibre-reinforced composites.分层在纤维增强复合材料失效中的作用。
Philos Trans A Math Phys Eng Sci. 2012 Apr 28;370(1965):1850-70. doi: 10.1098/rsta.2011.0441.