Abstract
In this paper, a simple method is proposed to estimate capacity of multilayered road structure including the degradation of the elastic and plastic properties of the constituent materials. In the study boundary value problem modeling interaction of wheels with road surface layer in the frame of large deformation theory for elastic-plastic materials was formulated. Plastic properties of the material were described by the flow rule un-associated with yield condition. The Coulomb-Mohr yield condition was assumed and the potential for plasticity is its smooth approximation. In addition, in constitutive modeling the dependence of the Young’s modulus and cohesion of the material from the number of cycles is taken into account. This paper presents qualitative findings in relation to mechanical behavior of the road structure, i.e., for example, the development of plastic zones with increasing load for un-degraded and degraded materials. In addition, a parametric study of the influence of the degradation ratio of the elasticity and plasticity properties for road structure failure mechanism (limit load value) was made.
Highlights
In the pavement design methodology the typical approach is to apply the small deformation theory of elasticity or visco-elasticity (Akbulut, Aslantas 2005; Kim 2009)
The material parameters for this calculations should be adopted on the basis of experimental tests carried out in laboratory on samples prepared in laboratory or on in situ measurements made using e.g. falling weight deflectometer (FWD)
It should be noted that the application of the limit analysis in the designing of the road structure seems reasonable, especially in relation to the structure composed with the materials degraded with respect to their elastic and plastic properties
Summary
In the pavement design methodology the typical approach is to apply the small deformation theory of elasticity or visco-elasticity (Akbulut, Aslantas 2005; Kim 2009). Currently in many finite element method (FEM) programs constitutive models taking into account the degradation (damage) are available (in most cases degradation is described with scalar parameter (Carol et al 2001; Lemaitre, Chaboche 2002; Sullivan 2008), due to the fact that the road structures are subjected to a large number of cycles, it is impossible to carry out numerical calculations taking into account the entire history of the loading (e.g. because of the numerical computation cost, overlapping numerical error, etc.). This type of analysis in relation to the road structures has been carried out in (Chazallon et al 2009) and can be studied in (Lemaitre, Chaboche 2002)
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