A traction–separation law for bonds at cracks bridged zones at immiscible polymers interface is developed. It is assumed that bonds at the crack bridged zone between different polymers are formed by bundles of the polymer molecules–promoter of adhesion. It is taken into account that molecules of the polymer-promoter can form one-stitch and many-stitch bonds between polymers. Nonlinear deformation curves of bonds at the crack bridged zone were obtained on this basis. The model of different materials joint with bridged interface crack is used to simulate immiscible polymers adhesive bonding. The system of singular integral-differential equations is applied for evaluation of bonds traction for the polymers interface bridged crack. The analysis of the bond traction–separation law parameters influence on the numerical iterative solution convergence of the integral-differential equations system has been performed. Evaluations of the polymer joint fracture toughness were performed using the non-local two-parameter criterion for quasi-static growth of bridged cracks.

中文翻译：

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不混溶聚合物界面桥接裂纹的牵引-分离定律

开发了不混溶聚合物界面裂纹桥接区域键的牵引分离定律。假设不同聚合物之间的裂纹桥接区域的键是由聚合物分子束（粘合促进剂）形成的。考虑到聚合物促进剂的分子可以在聚合物之间形成单针和多针键。在此基础上得到了裂纹桥接区粘结的非线性变形曲线。具有桥接界面裂纹的不同材料接头模型用于模拟不相溶聚合物的粘接。奇异积分微分方程组用于评估聚合物界面桥接裂纹的键牵引力。分析了键牵引-分离律参数对积分-微分方程组数值迭代求解收敛性的影响。使用桥接裂纹准静态增长的非局部二参数准则对聚合物接头断裂韧性进行了评估。