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

机译:裂纹路面二维分析的半解析弹性解

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摘要

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.
机译:本文提出了一种半解析弹性解,方便了二维裂缝路面的参数研究。路面结构被减少为三个弹性且均质的等效层,位于土壤上。与Pasternak对混凝土路面的建模相似,土壤是通过一层称为剪切层的模型进行建模的,该层连接到Winkler的弹簧上,以确保在路面结构和弹簧之间传递剪应力。使用为分析复合材料中的分层而开发的特定模型对整个四层系统进行建模。它可以将问题减少一维,并且可以访问垂直裂缝边缘各层之间的规则界面应力,从而可以进行初始脱粘分析。在2D平面应变条件下,以解析方式编写了一个十二阶微分方程组。该系统通过在免费的Scilab软件中计算的有限差分法(Newmark)进行数值求解。演算工具可以分析材料特性变化,路面荷载和裂缝位置对机械场分布的影响。具有断裂力学概念的方法非常适合于实际使用以及随后的3D数值开发。

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