Abstract

The paper discusses the modeling of the behavior of unbound granular materials. A representative approach that highlights some salient features of the behavior is proposed. This approach is essentially based on experimental results and the study is extended to the construction of the elastic potential from test results. to complete the analysis, two no-linear elastic models involving 3 parameters are proposed. In the construction of these models, two important aspects—the accuracy and the numerical stability—are analyzed.

Highlights

  • The usual approach for the modeling of the unbound materials behavior is to search for a constitutive relationship that describes as closely as possible the laboratory test results and to present them within a consistent thermodynamic framework

  • From Eq (9), the volumetric and shear strains at the measurement points, can be obtained from the elastic potential: È"cvÉ

  • This study has shown the ability of a model that deriving from an elastic potential to represents the recoverable strain behavior of unbound granular materials

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Summary

Introduction

The usual approach for the modeling of the unbound materials behavior is to search for a constitutive relationship that describes as closely as possible the laboratory test results and to present them within a consistent thermodynamic framework. These laws are often based on observations and measurements performed during the experiments. This kind of approach does not answer some fundamental questions such as: does the observed kinematic field derive from a potential function? Behavior of unbound granular materials—part I: isotropic case beyond the experimental data range? This work is only focused on the reversible aspect of the material behavior, so that no cyclic or plastic aspects are considered

Background
Modeling of unbound granular materials
Analysis of the reversible behavior
Existence of the potential
Local potential interpolation
Application to the test results
Variables separation
Isotropy condition
Expression of the elastic potential
Formulation of E and
Model with constant Poisson ratio
Comparison between the proposed models and the test results
Conclusions
Full Text
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