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The modeling of granular and porous materials in science and engineering affects a variety of problems that arise from the need to describe successfully the behavior of materials that exist naturally in our surroundings. Indeed, the modeling process is a critical tool in analyzing and describing the micromechanics and behavior of granular and porous material experimentation. §This work covers all major topics in modeling soil behavior, including transport phenomena: namely, mechanics of porous and granular media, flow and transport phenomena in particulate materials, and numerical simulation methods. §Key features: §Scientists from different backgrounds, namely engineers and mathematicians who are interested in soil behavior, as well as experts in particulate material modeling, focus on the most important techniques and models currently in use §Contributions are devoted to both the mathematical and engineering aspects of the subject and bring the reader to the frontiers of research §Numerical models given for finite elastoplastic deformations§Modeling and Mechanics of Granular and Porous Materials is fairly unique in the literature. It may serve as both an excellent reference text or in seminars, appealing to graduate students, researchers and scientists in applied mathematics, continuum mechanics, finite element methods, solid mechanics, and hydraulics engineering. A good foundation in continuum mechanics is a prerequisite.§