A Half-analytical Elastic Solution for 2D Analysis of Cracked Pavements

TL;DR

This paper introduces a half-analytical elastic model for 2D cracked pavements, enabling efficient parametric studies of stress distribution and debonding potential in layered pavement structures under various conditions.

Contribution

It develops a simplified 2D elastic solution for cracked pavements using a layered model and differential equations, facilitating practical analysis of interface stresses and crack effects.

Findings

Model effectively analyzes impact of material changes on stress distribution.

Numerical solution implemented in Scilab for practical use.

Approach suitable for extension to 3D fracture analysis.

Abstract

This paper presents a half-analytical elastic solution convenient for parametric studies of 2D cracked pavements. The pavement structure is reduced to three elastic and homogeneous equivalent layers resting on a soil. In a similar way than the Pasternak's modelling for concrete pavements, the soil is modelled by one layer, named 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 is modelled using a specific model developed for the analysis of delamination in composite materials. It reduces the problem by one dimension and gives access to regular interface stresses between layers at the edge of vertical cracks allowing the initial debonding analysis. In 2D plane strain conditions, a system of twelve-second order differential equations is written analytically. This system is solved numerically by the finite difference method (Newmark) computed in the free Scilab software. The calculus tool allows analysis of the impact of material characteristics changing, loads and locations of cracks in pavements on the distribution of mechanical fields. The approach with fracture mechanic concepts is well suited for practical use and for some subsequent numerical developments in 3D.