The strain energy release rates in adhesively bonded balanced and unbalanced specimens and lap joints
The strain energy release rates in adhesively bonded balanced and unbalanced specimens and lap joints
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DOI：
10.1016/j.ijsolstr.2008.07.030
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发表时间：
2008-12
影响因子：
3.6
通讯作者：
K. Shahin;F. Taheri
中科院分区：
文献类型：
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作者：
K. Shahin;F. Taheri
建立了双悬臂梁和单搭接等不同结构的粘接节点应变能释放率的解析模型。该模型基于粘接层应力和Irwin裂纹闭合积分的渐近分析。考虑剪切力对粘接应力的影响及其对应变能释放率的影响，给出了I、II和I/II混合模式下平衡和非平衡节点的封闭解。通过双悬臂梁和端缺口挠曲试件的经典梁理论表达式验证了模型的准确性。实际上，经典梁理论的表达式是所提模型解的下界，并且随着粘接层厚度的减小，两种方法收敛。通过对单搭接节点的分析，揭示了边缘剪力对总应变能释放率的影响，更重要的是对I型与II型之比的影响。所提出的分析模型的结果与有限元结果和文献中发现的分析模型一致。
An analytical model is developed to determine the strain energy release rate in adhesive joints of various configurations such as the double-cantilever beam and single-lap joints. The model is based on asymptotic analysis of adhesive layer stresses and Irwin’s crack closure integral. Closed-form solutions are presented for balanced and unbalanced joints under mode I, II and mixed-mode I/II that take into account the influence of the shear force on the adhesive stresses, and its influence on the strain energy release rate. The accuracy of the model is tested against the classical beam theory expressions for double-cantilever beam and end-notch flexure specimens. In fact, classical beam theory’s expressions are found to be the lower bound of the proposed model solutions, and the two methods converge as the adhesive layer thickness decreases. Analysis of single-lap joints reveals the influence of edge shear forces on the total strain energy release rate, and more importantly on the ratio between modes I and II. Results from the proposed analytical model are in good agreement with finite element results and with analytical models found in the literature.