Author: Eduardo Rojas

### Towards a Unified Soil Mechanics Theory: The Use of Effective Stresses in Unsaturated Soil, Revised Edition

eBook: US \$59 Special Offer (PDF + Printed Copy): US \$148
Printed Copy: US \$119
Library License: US \$236
ISBN: 978-1-68108-700-9 (Print)
ISBN: 978-1-68108-699-6 (Online)
Year of Publication: 2018
DOI: 10.2174/97816810869961180101

#### Introduction

With the application of the effective stress concept, the strength and volumetric behavior of saturated materials was clearly understood. For the case of unsaturated materials, a universally accepted effective stresses equation is still under debate. However, the use of the effective stress concept to develop constitutive models for unsaturated soils is becoming increasingly popular not only because the hydro-mechanical coupling observed in these materials is implicit in the formulation but also because simpler and more precise models can be established. Towards A Unified Soil Mechanics Theory demonstrates that the same strength and volume change equations used in saturated soil mechanics can be used for the case of unsaturated soils. In other words, the constitutive models developed for saturated soils can be used for unsaturated materials once the effective stress equation has been defined.

In this book, an analytical equation for the effective stress for unsaturated soils is established. This equation requires the knowledge of the superficial area of solids affected by the capillary phenomenon. In other words, we need to know how water distributes in the pores of the soil. This distribution can be modeled using a solid-porous model built on a regular network. However, the size of the network required to correctly simulate the structure of a small soil sample cannot be managed with a common PC. For that reason, a probabilistic porous-solid model is developed. This model uses the pore size distribution in the form of a probabilistic function which in addition to the Laplace equation and the principle of continuity can be expressed as the probability of a pore of certain size to be filled or dry at suction during a wetting or drying path, respectively. In this way, the soil-water retention curves can be simulated and the effective stress at any suction during wetting or drying processes can be determined. Based on this approach, it is shown that unsaturated soils behave under the same principles for strength and volumetric behavior as saturated soils.

This revised edition brings additional information about an elastoplastic framework for expansive soils, hydro-mechanical coupling and a fully coupled model. The additional chapters also cover the experimental parameters used to derive the models. An updated set of references and a list of abbreviations is also included in this edition.

Towards A Unified Soil Mechanics Theory paves the way for a universal theory of soil mechanics. The volume will be a valuable reference to civil engineers, earth scientists and hydrologists interested in soil mechanics at both academic and professional levels.

# Foreword

The choice of stress variables controlling the behavior of unsaturated soils has been a challenge for geotechnical engineers for more than half a century and in particular in the last two decades. Many researchers in the world are still working on this aspect and Professor Eduardo Rojas is one of them. There are two main approaches: the first one considers two stress variables, generally the net stress (σ ua) and matric suction (ua uw); the other considers a single stress variable, generally called the effective stress. However, this latter approach generally shows deficiencies in reproducing the phenomenon of collapse under wetting.

In several technical papers and in this eBook, Professor Eduardo Rojas has developed a porous-solid model that considers micropores, macropores and their connections, and the fact that they can be saturated, unsaturated or dry. This model is very powerful and allows the determination of the Soil-Water Retention Curve on both the drying and the wetting paths. This model is also the key for the determination of an equivalent effective stress that allows the analysis of the different aspects of the mechanical behavior of unsaturated soils: compression, strength, tensile strength and volumetric behavior. Application of the model to experimental results published in the literature gives remarkable results.

Was it necessary to put this information into one eBook? The answer is yes, as it shows in one document the continuity from the physical model and the definition of an equivalent effective stress to the practical applications. Did the eBook provide a final response to the questions concerning representative stress variables for unsaturated soils? Probably not, but it gives a very consistent approach of the problem within the context of the existing literature and knowledge. It is a reference for all those interested in the behavior of unsaturated soils.

Serge Leroueil
Laval University