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A Variational Approach for Stress Analysis of Single-Lap Composite Joints under Mechanical and Thermal Loads

机译:机械热负荷下单圈复合关节应力分析的变分方法

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In this study, two-dimensional (plane-stress and plane-strain) theoretical models are presented for the stress analysis of adhesively bonded single-lap composite joints subjected to thermal, mechanical loads and a combination thereof. The joints consist of similar/dissimilar orthotropic or isotropic adherends and an isotropic adhesive interlayer. The governing differential equations of the problem are obtained using a variational method which minimizes the complementary strain energy in the bonded assembly. In this formulation, through-thickness variation of shear and peel stresses in the interlayer is considered. All the traction free boundary conditions are exactly satisfied. Peel and shear stresses obtained from plane-strain analytical models considering mono-modulus adhesive interlayer are in good agreement with the finite element predictions. A systematic parametric study is conducted to identify an ideal set of geometrical and material properties for the optimal design of joints.
机译:在该研究中,提出了二维(平面应力和平面 - 应变)理论模型,用于对经受热,机械载荷和其组合进行热,机械载荷和其组合的粘合的单圈复合接头的应力分析。关节由类似/不同的正交或各向同性粘附和各向同性粘合剂中间层组成。使用变分方法获得问题的控制微分方程,该方法可以最小化粘合组件中的互补应变能。在该制剂中,考虑了中间层中剪切和剥离应力的贯穿厚度变化。所有牵引力边界条件都完全满足。考虑单模量粘合剂中间层的平面 - 应变分析模型获得的剥离和剪切应力与有限元预测有良好的一致性。进行系统参数研究,以识别用于接头的最佳设计的理想几何和材料特性。

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