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Descripción
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| An important class of soil mechanics problems is the determination of the stresses caused in a soil body by the application of a certain load. The theory of elasticity provides solutions when the soil is supposed to be continuous, isotropic and linearly elastic: the stress field is obtained from the solution of a boundary value problem. In contrast, when the medium is not a continuous body but a dense packing of discrete elastic particles, interparticle forces are the responsible for supporting the loads. The equivalent stress of any particle in the pack-ing can be estimated from the forces keeping it in static equilibrium, but the obtained value depends on the specific realization of the packing and is most often different to that predicted by the solution to the corresponding boundary value problem. Statistical mechanics can be used to anticipate the statistical distributions of stress val-ues and to relate the associated parameters to continuum mechanics solutions. The theory has been validated through massive numerical simulation with the discrete element method. Accordingly, in the case of discrete media, the deterministic model for the stress field in the soil can be replaced by a stochastic one, which gives the probability of finding a certain level of stress at any position. This model is useful when the spatial scale of interest is comparable to the size of the particles (e.g. grain-level analysis, altered zones,). When the number of intervening particles is large, the average stress matches the value predicted by continuum mechanics approaches. | |
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Internacional
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Si |
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Nombre congreso
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XVII ECSMGE-2019 |
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Tipo de participación
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960 |
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Lugar del congreso
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Islandia |
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Revisores
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Si |
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ISBN o ISSN
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978-9935-9436-1-3 |
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DOI
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Fecha inicio congreso
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01/09/2019 |
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Fecha fin congreso
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06/09/2019 |
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Desde la página
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1 |
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Hasta la página
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8 |
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Título de las actas
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Proceedings of the XVII ECSMGE-2019 |