Two-Dimensional Software for Analysing Mechanical Fields in Elastic Cracked Pavements

摘要

This paper presents an engineering tool for the rapid analysis of the mechanical fields in cracked pavements. The pavement structure is reduced to three elastic and homogeneous equivalent layers resting on a soil. The soil is modelled by one layer, named the shear layer, connected to Winkler's springs in order to ensure the transfer of shear stresses between the pavement structure and the springs. The whole four-layer system (three pavement layers connected to the shear layer) is modelled using a simplified model (M4-5n) developed for the analysis of delamination in composite materials. For the case of two-dimensional plane strain, a system of twelve equations is written analytically. These second order differential equations are solved by a finite difference method (Newmark). In the case of a pavement containing a vertical cracking through one layer, the half-analytical solutions are obtained in less than one second of CPU. This tool, called M4-5nW, thus allows parametric studies such as the distribution of mechanical fields (especially interface stresses) as a function of the load position more or less distant from the vertical crack. This new modelling shows its effectiveness compared to the use of a conventional finite element code.