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Nonlinear adhesive behavior effects in a cracked orthotropic sheet stiffened by a semi-infinite orthotropic sheet

机译:非线性正交各向异性板在加筋裂纹正交各向异性板中的作用

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摘要

The stress-intensity factors are determined for a cracked orthotropic sheet adhesively bonded to an orthotropic stringer where the adhesive layer is modeled with a nonlinear stress-strain curve. By the use of Green's functions and the complex variable theory of orthotropic elasticity, a set of integral equations is obtained. The integral equations are replaced by an equivalent set of algebraic equations, which are solved to obtain the shear stress distribution in the adhesive layer, with which the crack-tip stress-intensity factors are found. When the adhesive was modeled with a nonlinear stress-strain curve, the peak shear stresses in the adhesive were considerably reduced in comparison to the solution for the linear elastic adhesive. This resulted in increases in the stress-intensity factors for the nonlinear adhesive solution compared to the linear adhesive solution. The nonlinear adhesive has no significant effect on the stress-intensity factor unless the near crack tip is beneath the stringer. It is assumed that the adhesive bond remains intact and it is predicted that onset of adhesive failure occurs at decreasing levels of applied stress as the crack propagates beneath the stringer.
机译:对于粘合到正交异性桁条上的破裂正交异性片材,确定应力强度因子,其中用非线性应力-应变曲线对粘合层进行建模。利用格林函数和正交各向异性弹性的复变量理论,获得了一组积分方程。用等价的一组代数方程式代替积分方程式,求解这些方程式以获得粘合剂层中的剪切应力分布,从而找到裂纹尖端应力-强度因子。当使用非线性应力-应变曲线对粘合剂进行建模时,与线性弹性粘合剂的溶液相比,粘合剂中的峰值剪切应力大大降低。与线性粘合剂溶液相比,这导致了非线性粘合剂溶液的应力-强度因子的增加。除非附近的裂纹尖端在桁条下方,否则非线性粘合剂对应力强度因子没有显着影响。假定粘合剂保持完好无损,并且可以预测,随着裂纹在纵梁下方的扩展,施加的应力降低时,会发生粘合剂破坏。

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  • 作者

    Bigelow, C. A.;

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  • 年度 1985
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