Abstract
In some silo experiments, it is observed that Janssen ratio can be remarkably bigger than the value given by the Jaky formula recommended in engineering norm. To understand this, we solved the nonlinear elastic problem for the region of stress saturation of a plane silo, and obtained its general solution analytically. The solution can really give stresses with the observed big Janssen ratio, but deviate from the Janssen behavior at the same time. Because of the plasticity of granular solids, boundary conditions may become incomplete, so the Janssen ratio is allowed to vary in a certain range, and deviates from the Jaky formula. The results support the validity of elastic theory for granular solids, in spite of its history behavior.
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