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本文采用含裂纹无限大板特殊基本解和合力边界条件，用体积力法对含裂纹金属薄板的胶贴补强问题进行应力分析。使用一满足胶贴层位移连续条件的剪切单元，把问题转化为对裂纹板和贴片的分析。由于使用的特殊基本解精确满足裂纹面自由力边界条件，避免了对裂纹尖端附近的奇异场进行离散处理，因而可以比较精确地求出裂纹尖端附近的应力分布，同时由于单位集中力引起的裂纹尖端应力强度因子可以解析得到，因而可以较准确地反映出用应力强度因子的降低来表征的贴补效果。作为贴补计算的例子，文中计算了受拉力和剪力作用时，含中心裂纹的金属裂纹板在贴补前后裂纹尖端应力强度因子的降低，给出了贴片的厚度、弹性模量和尺寸及肢贴层厚度等对贴补效果的影响。
In this paper, using the special basic solution of cracked infinite plates and the force boundary condition, the stress analysis is carried out on the problem of adhesive reinforcement of cracked metal sheets by the method of volumetric force. Using a shear cell that meets the continuous conditions of the displacement of the adhesive layer, the problem is translated into an analysis of cracked plates and patches. Due to the fact that the special basic solution used satisfies the free boundary condition of the crack surface and avoids the discrete processing of the singular field in the vicinity of the crack tip, the stress distribution near the crack tip can be obtained more accurately. Meanwhile, the crack due to the concentrated unit force The tip stress intensity factor can be analytically obtained, which can more accurately reflect the effect of reducing the stress intensity factor to characterize the patch. As an example of patch calculation, the reduction of stress intensity factor at the crack tip before and after the metal cracked plate with central crack under tensile and shear forces is calculated. The thickness, elastic modulus and size of the patch The effects of the thickness of the patch on the patch effect.