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Saint-Venant’s Principle and Its Proof : History and Review

Submitted by Jian-zhong Zhao on

In this article the history of development of Saint-Venant’s Principle is reviewed, referring to the most important events concerning the principle as the historical clue, and the important works and results are evaluated; the view-points that Toupin Theorem can not be considered as a mathematical expression of Saint-Venant’s Principle and that the general Saint-Venant’s Principle does not stand, but modified Saint-Venant’s principles can be proved true are published and explained; the mathematical approaches for eslablishing modified Saint-Venant’s principles are summarized; the significance of proving  the principle is expounded; in order to bring  those essential issues and discussions concerning the principle to attention and to promote booming and development of Saint-Venant’s Principle.