アーチ効果を考慮した二次元砂山底面での圧力分布解析

概要

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Statics of a sand heap under gravity associates to stress indeterminacy. The additional relationship is usually given by constitutive relations. Thus, radial stress field function satisfying plane equilibrium, constitutive relation and stress initial-boundary condition can provide a basic solution. Since stress distribution in sand heap is also depended on stress history during formation, therefore it is difficult to specify the constitutive relation which can characterize this complicated problem. The recent researches has linked arching criterion to describe a local constitutive relation and successfully captured a phenomenon of vertical pressure dip. However, a clear degree of arching effect to a stress distribution beneath the base of the heap has not been clarified. This study investigated the influence of arch shapes formed in sand heap and found particular patterns which are acceptably agreed with the experimental data. Therefore, arch formed during formation could be considered as stress memories of sand heap.
日本学術会議「機械工学委員会・土木工学・建築学委員会合同IUTAM分科会」の論文