Displaying similar documents to “Exact integration of the Cauchy-Green tensor.”

On Cauchy's stress theorem

Miroslav Šilhavŷ (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this work a new proof of the theorem of Cauchy on the existence of the stress tensor is given which does not use the tetrahedron argument.

A paradox in the theory of linear elasticity

Jindřich Nečas, Miloš Štípl (1976)

Aplikace matematiky

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Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1].