Numerical analysis for bonded materials subject to various mechanical loadings that weakened by a curvilinear crack

This study presents new numerical findings that analysis Bonded Materials (BMs) subject to various mechanical loadings that weakened by a curvilinear crack.  This crack is located in the upper part of BMs and exposed to the shear, normal, tearing, and mixed loads.  This issue arises from a previous study that focused solely on shear stress as a single type of mechanical loading.  By utilizing the Modified Complex Potentials (MCPs) function, along with smoothness constraints for the resultant force and displacement function and the crack opening displacement (COD) component as unknowns, the problem is formulated into hypersingular integral equations (HSIEs).  The material strength associated with the curvilinear crack is then evaluated numerically by solving the HSIEs using the curve length coordinate method and Gauss quadrature procedures to determine the nondimensional stress intensity factors (NSIFs).  Graphical representations vividly illustrate the significant impacts of mechanical loadings, elastic constant ratios, and geometrical parameters on the NSIFs at the crack tips.  The results show that elastic constant ratios, crack geometries, and mechanical loadings collectively influence a material's strength.  Notably, mixed loads and certain elastic ratios increase stress concentration near the crack tip, while sharper crack curvatures further amplify stress, underscoring the importance of these factors in evaluating crack vulnerability and material strength under complex loading conditions.