Abstract

In this paper the author puts forward several rigorous quantitative counterexamples about Saint-Venant's Principle in three cases: (1) lower semiplane, (2) (circled) disc and (3) lower semispace. These counterexamples show that Saint-Venant's Principle cannot be always true if existing concentrated loads. Then the author points out that couples of second order or higher order (even some first order function moments other than couples) should not be neglected in elasticity. The author introduces simply Robinson's work about Saint-Venant's Principle and points out that Toupin's intuitive counterexamples about Saint-Venant's Principle in 1964 are not completely rigorous.

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