Study on crack propagation path of asphalt pavement under vehicle-road coupled vibration.

• Deal with the nonlinear term using product to sum formula for the first time. • Simulate the variation of elastic layer depth by sine wave. • Discretize the stresses in the J-integral loop to compute SIF. • Study the effect of vehicle-road coupled vibration on crack propagation. To reflect the characteristics of soil more accurately, an improved two-parameter foundation-plate model is built. A vehicle-road coupled model is modeled as a 2-DOF vehicle moving along a plate with finite length and width on a cubic nonlinear foundation. The variation of depth of elastic layer is modeled using sine wave. The Galerkin truncation method is used to discretize the partial differential equations into ordinary differential control equations. Using product to sum formula and introducing the Dirac delta function, the double integral term resulted from nonlinearity is removed. The effects of parameters from vehicle and foundation-plate on vehicle-road coupled model responses are studied. In addition, in order to analyze the influence of vehicle-road coupled vibration on crack propagation, initial cracks with certain length and width are set on the pavement. Using the J-integral Criterion of crack propagation, the stress intensity factors (SIF) of mode I and mode II cracks for mixed cracks are obtained through the stress on the discrete integral loop, and then the propagation path of surface crack of road is obtained. The propagation of the vehicle-road coupled model considering pavement crack, the vehicle-road coupled model without considering pavement crack and the traditional foundation-plate model are computed and compared. It can be found that the influence of vehicle-road coupled vibration for pavement crack can not be ignored. In short, the results presented in this paper realize the fast and accurate calculation of foundation-plate model described by ultra-high dimensional nonlinear ordinary differential equations, and then can realistically simulate the crack propagation path, which is helpful to better understand the cracking behavior of asphalt pavement. [ABSTRACT FROM AUTHOR]