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A variational problem about maximal stable arches in a hopper is formulated.This problem idealizes an industrial problem related to guaranteeing reliable flow of material out of a storage silo. To obtain existence, the generalized function spaces are introduced and studied.Specifically, functions in the spaces can''be discontinuous in the ihteriOr of the''domain as well as along the boundaries. For the von Mises type of material in two dimension, the limit load is, estimated and its asymptotic behavior is investigated.  相似文献   

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