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Saint-Venant's Principle: Experimental and Analytical

Mathematical provability , then classication, of Saint-Venant's Principle are discussed. Beginning with the simplest case of Saint-Venant's Principle, four problems of elasticity are discussed mathematically. It is concluded that there exist two categories of elastic problems concerning Saint-Venant's Principle: Experimental Problems, whose Saint-Venant's Principle is established in virtue of supporting experiment, and Analytical Problems, whose Saint-Venant's decay is proved or disproved mathematically, based on fundamental equations of linear elasticity. The boundary-value problems whose stress boundary condition consists of Dirac measure, a " singular distribution ", can not be dealt with by the mathematics of elasticity for " proof " or " disproof " of their Saint-Venant's decay, in terms of mathematical coverage.

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