Predicting free edge delamination induced by thermal loading using finite fracture mechanics

IF 2.2 3区 工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Mohammad Burhan, Zahur Ullah, Zafer Kazancı, Giuseppe Catalanotti
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引用次数: 0

Abstract

The material mismatch between the dissimilarly oriented plies within laminated structures induces localised singular interlaminar stresses at free edges, under various loading conditions such as mechanical, moisture, or thermal. These interlaminar stresses lead to premature interlaminar cracking. This study introduces the application of Finite Fracture Mechanics (FFM) for predicting free edge delamination in angle-ply laminates under uniform thermal loading. The current framework assumes nucleation of semi-elliptically shaped crack at the dissimilar interface, resulting in a 3D FFM criterion. For a given material intrinsic properties, e.g. interlaminar fracture toughness and strength, calculation of quantities such as interlaminar stresses and incremental energy release rates are required. These quantities, necessary for the evaluation of the FFM criterion, are determined semi-analytically through expressions derived from dimensional analysis and finite element models. Dimensional analysis facilitates the finding of these quantities only once using non-dimensionalised functions. The resulting non-dimensionalised functions for stresses and energy release rates are not a function of thermal load and ply thickness. This eliminates the requirement to re-solve the underlying boundary value problem for varying loads and ply thicknesses. The accuracy of finite element models is confirmed against results from models available in literature and dimensional analysis is validated against numerical solutions. The 3D FFM system is solved by assuming a homothetic crack extension and is implemented as a standard constrained nonlinear optimisation problem. In addition to the 3D FFM, another model based on the Theory of Critical Distances (TCD) is employed for validation purposes. The predictions from both the 3D FFM and TCD are compared to those from models available in the literature.

用有限断裂力学预测热载荷引起的自由边缘分层
在不同的载荷条件下,如机械、湿气或热载荷,层合结构中不同取向层之间的材料不匹配会在自由边缘引起局部奇异层间应力。这些层间应力导致层间过早开裂。本文介绍了有限断裂力学在均匀热载荷作用下角层合板自由边缘剥落预测中的应用。目前的框架假设在不同界面处半椭圆形裂纹成核,从而得到三维FFM准则。对于给定材料的固有特性,例如层间断裂韧性和强度,需要计算层间应力和增量能量释放率等量。这些量是评价FFM准则所必需的,通过从量纲分析和有限元模型中导出的表达式来半解析地确定。量纲分析有助于使用非量纲函数找到这些量。由此产生的应力和能量释放率的无量纲函数不是热负荷和层厚的函数。这消除了重新解决不同载荷和厚度的潜在边值问题的需要。有限元模型的准确性与文献中可用模型的结果相比较,并与数值解相比较验证了量纲分析的准确性。三维FFM系统通过假设裂纹齐次扩展来求解,并作为一个标准的约束非线性优化问题来实现。除了3D FFM外,还采用了基于临界距离理论(TCD)的另一个模型进行验证。将3D FFM和TCD的预测与文献中可用的模型进行比较。
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来源期刊
International Journal of Fracture
International Journal of Fracture 物理-材料科学:综合
CiteScore
4.80
自引率
8.00%
发文量
74
审稿时长
13.5 months
期刊介绍: The International Journal of Fracture is an outlet for original analytical, numerical and experimental contributions which provide improved understanding of the mechanisms of micro and macro fracture in all materials, and their engineering implications. The Journal is pleased to receive papers from engineers and scientists working in various aspects of fracture. Contributions emphasizing empirical correlations, unanalyzed experimental results or routine numerical computations, while representing important necessary aspects of certain fatigue, strength, and fracture analyses, will normally be discouraged; occasional review papers in these as well as other areas are welcomed. Innovative and in-depth engineering applications of fracture theory are also encouraged. In addition, the Journal welcomes, for rapid publication, Brief Notes in Fracture and Micromechanics which serve the Journal''s Objective. Brief Notes include: Brief presentation of a new idea, concept or method; new experimental observations or methods of significance; short notes of quality that do not amount to full length papers; discussion of previously published work in the Journal, and Brief Notes Errata.
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