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On the proof of the saint-venant principle for bodies of arbitrary shape

  • Published:1974-01 Issue:5 Volume:38 Page:799-813
  • ISSN:0021-8928
  • Container-title:Journal of Applied Mathematics and Mechanics
  • language:en
  • Short-container-title:Journal of Applied Mathematics and Mechanics

Author:

Berdichevskii V.L.

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Modeling and Simulation

Reference19 articles.

1. Saint-Venant's principle;Toupin;Arch. Ration. Mech. and Analysis,1965

2. Isoperimetric Inequalities in Mathematical Physics;Polya,1962

3. A pointwise estimate for the stress in a cylinder and its application to Saint-Venant's principle;Roseman;Arch. Ration. Mech. and Analysis,1966

4. On Saint-Venant's principle in the two-dimensional linear theory of elasticity;Knowles;Arch. Ration. Mech. and Analysis,1966

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1. High-fidelity calculation of modal damping caused by friction at blade roots for single blades and tuned bladed disc assemblies;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2020-06-23

2. On the topological derivative due to kink of a crack with non-penetration. Anti-plane model;Journal de Mathématiques Pures et Appliquées;2010-12

3. Toupin-Type Decay and Saint-Venant’s Principle;Applied Mechanics Reviews;2010

4. Optimal Korn’s inequalities for divergence-free vector fields with application to incompressible linear elastodynamics;Japan Journal of Industrial and Applied Mathematics;1999-02

5. On Saint-Venant’s principle in dynamic linear viscoelasticity;Quarterly of Applied Mathematics;1997
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