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Analytical model for adhesively bonded composite panel-flange joints based on the Timoshenko beam theory

机译:基于蒂莫申科梁理论的胶粘复合面板-法兰连接的分析模型

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摘要

An analytical model for adhesively bonded composite panel-flange joints is developed using the kinematic relations of the Timoshenko beam theory and the constitutive equations in linear elasticity. The governing equations are derived for the normal and shear stresses in the adhesive layer of a composite joint containing two symmetric or unsymmetric laminates (as adherends) with equal- or unequal-thickness. For a composite joint with two equal-thickness symmetric adherends, closed-form solutions are obtained for the normal and shear stresses in the adhesive layer. Due to the consideration of the transverse shear effect in the current model, the solution for the normal (peel) stress derived here is different from that provided in an existing model using the Bernoulli-Euler beam theory-based classical laminate theory, even though the solution for the shear stress obtained here is the same as that given in the latter. The new model is quantitatively illustrated and compared with the existing model for two sample cases of composite panel-flange joints. The numerical results reveal that the peel stress for the joint under pure bending is tensile over the entire length of the adhesive and its values near the two ends of the adhesive are significantly larser than those predicted bv the existing Bernoulli-Euler beam theorv-based model.
机译:利用Timoshenko梁理论的运动学关系和线性弹性的本构方程,建立了粘结复合面板-法兰连接的分析模型。对于包含两个厚度相等或不相等的对称或不对称层压板(作为被粘物)的复合材料接头的粘合剂层中的法向应力和剪切应力,得出控制方程。对于具有两个等厚度对称被粘物的复合接缝,对于粘着层中的法向应力和剪切应力,可获得封闭形式的解。由于当前模型中考虑了横向剪切效应,因此此处得出的法向应力(剥离应力)与使用基于Bernoulli-Euler梁理论的经典层压理论的现有模型提供的解不同。这里获得的剪切应力的解与后者给出的解相同。对新模型进行了定量说明,并将其与现有模型进行了两个复合面板-法兰接头示例案例的比较。数值结果表明,在纯弯曲状态下,接头的剥离应力在粘合剂的整个长度上都是拉伸的,并且在粘合剂两端附近的值明显比现有的基于Bernoulli-Euler梁理论的模型预测的要大。 。

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