Applications of plasticity theory to selected problems in soil mechanics

Two topics in plane strain perfect plasticity are studied using the method of characteristics. The first is the steady-state indentation of an infinite medium by either a rigid wedge having a triangular cross section or a smooth plate inclined to the direction of motion. Solutions are exact and results include deformation patterns and forces of resistance; the latter are also applicable for the case of incipient failure. Experiments on sharp wedges in clay, where forces and deformations are recorded, showed a good agreement with the mechanism of cutting assumed by the theory; on the other hand the indentation process for blunt wedges transforms into that of compression with a rigid part of clay moving with the wedge. Finite element solutions, for a bilinear material model, were obtained to establish a correspondence between the response of the plane strain wedge and its axi-symmetric counterpart, the cone. Results of the study afford a better understanding of the process of indentation of soils by penetrometers and piles as well as the mechanism of failure of deep foundations (piles and anchor plates).

The second topic concerns the plane strain steady-state free rolling of a rigid roller on clays. The problem is solved approximately for small loads by getting the exact solution of two problems that encompass the one of interest; the first is a steady-state with a geometry that approximates the one of the roller and the second is an instantaneous solution of the rolling process but is not a steady-state. Deformations and rolling resistance are derived. When compared with existing empirical formulae the latter was found to agree closely.

Understanding Micro- and Macro-Mechanics of Soil Liquefaction: A Necessary Step for Field-Scale Assessment

Liquefaction is a devastating instability associated with saturated, loose, and cohesionless soils. It poses a significant risk to distributed infrastructure systems that are vital for the security, economy, safety, health, and welfare of societies. In order to make our cities resilient to the effects of liquefaction, it is important to be able to identify areas that are most susceptible. Some of the prevalent methodologies employed to identify susceptible areas include conventional slope stability analysis and the use of so-called liquefaction charts. However, these methodologies have some limitations, which motivate our research objectives. In this dissertation, we investigate the mechanics of origin of liquefaction in a laboratory test using grain-scale simulations, which helps (i) understand why certain soils liquefy under certain conditions, and (ii) identify a necessary precursor for onset of flow liquefaction. Furthermore, we investigate the mechanics of liquefaction charts using a continuum plasticity model; this can help in modeling the surface hazards of liquefaction following an earthquake. Finally, we also investigate the microscopic definition of soil shear wave velocity, a soil property that is used as an index to quantify liquefaction resistance of soil. We show that anisotropy in fabric, or grain arrangement can be correlated with anisotropy in shear wave velocity. This has the potential to quantify the effects of sample disturbance when a soil specimen is extracted from the field. In conclusion, by developing a more fundamental understanding of soil liquefaction, this dissertation takes necessary steps for a more physical assessment of liquefaction susceptibility at the field-scale.

A comunidade de pequenos mamíferos em áreas de savana metalófila e floresta ombrófila densa na Floresta Nacional de Carajás, PA: Estrutura, estratificação e impacto da mineração

Os pequenos mamíferos apresentam maior diversidade para a região Neotropical e são bons indicadores de alterações de habitats. Nós amostramos dois tipos de fitofisionomias. Os objetivos deste estudo foram avaliar a estrutura, a estratificação vertical e o impacto da mineração na comunidade de pequenos mamíferos nas áreas de Canga e Floresta. Foram amostradas seis linhas paralelas a partir da borda, em cada área. Foram instaladas 60 armadilhas intercaladas nos três estratos: solo, sub-bosque e dossel, durante seis noites consecutivas. E armadilhas de queda e interceptação, com 15 baldes em cada trilha, apenas nas áreas de Floresta. Foram amostradas uma área de cada fitofisionomia mais próxima e mais afastada do impacto, durante dois períodos chuvosos e dois secos, de 2009 a 2011. Nós encontramos diferenças muito evidentes quanto à composição e estrutura nos dois tipos de fitofisionomias amostradas: a riqueza foi maior na Floresta e a abundância total foi maior na Canga. Das 24 espécies amostradas, 15 foram registradas exclusivamente no solo, oito no solo e sub-bosque e uma (Glironia venusta) exclusivamente no dossel. Apenas Micoureus demerarae foi registrado nos três estratos e Caluromys philander apenas no sub-bosque e dossel. O efeito do impacto é muito evidente nas Florestas e menos nas Cangas. Nas Florestas, quanto mais distante do impacto, maior a riqueza e abundância de espécies. É importante a continuidade e o aprofundamento de estudos com comunidades de pequenos mamíferos na Floresta Nacional de Carajás, ampliando o conhecimento científico para propor medidas que minimizem o impacto causado pela atividade mineradora na região.