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1 Summary of Elasticity Theory: Basic Concepts
The same concept can be formulated as the following principle proposed by
Saint-Venant:
statically equivalent forces distributed in various ways in a relatively small area of the body
cause stresses insignificantly different when distancing from the loaded area for the distance
of the order of the maximum size of this area.
References
1. A. Grigor’yan, Ocherki istorii mekhaniki v Rossii [Essays on the history of mechanics in Russia]
(Izd-vo AN SSSR Publ, Moscow, 1961)
2. A. Grigor’yan, Mekhanika v Rossii [Mechanics in Russia] (Nauka Publ., Moscow, 1978)
3. A. Grigor’yan, B. Fradlin, Istoriya mekhaniki tverdogo tela [History of solid state mechanics]
(Nauka, Moscow, 1982)
4. L. Landau, E. Lifshits, Teoreticheskaya fizika : ucheb. posobie. V 10-ti tomakh. T. 7. Teoriya
uprugosti. 5-e izd. [Theoretical physics: textbook. stipend. In 10 volumes. Vol. 7. Theory of
elasticity. 5th edn.] (Fizmatlit Publ., Moscow, 2003)
5. M. Leonov, Osnovy mekhaniki uprugogo tela [Fundamentals of elastic body mechanics] (Izd-vo
AS Kirg. SSR, Frunze, 1963)
6. A. Lyav, Matematicheskaya teoriya uprugosti [Mathematical theory of elasticity] (ONTI NKTP
SSSR Publ., Moscow, Leningrad, 1935)
7. V. Molotnikov, Kurs soprotivleniya materialov [The course of strength of materials] (SPb.,
Moscow/Lan’ Publ., Krasnodar, 2006)
8. S. Timoshenko, Istoriya nauki o soprotivlenii materialov s kratkimi svedeniyami iz istorii
teorii uprugosti i teorii sooruzhenii. 2-e izd. [History of resistance science materials with brief
information from the history of the theory of elasticity and the theory of structures. The 2nd
prod.] (GITTL Publ., Moscow, 1957)
1 Summary of Elasticity Theory: Basic Concepts
The same concept can be formulated as the following principle proposed by
Saint-Venant:
statically equivalent forces distributed in various ways in a relatively small area of the body
cause stresses insignificantly different when distancing from the loaded area for the distance
of the order of the maximum size of this area.
References
1. A. Grigor’yan, Ocherki istorii mekhaniki v Rossii [Essays on the history of mechanics in Russia]
(Izd-vo AN SSSR Publ, Moscow, 1961)
2. A. Grigor’yan, Mekhanika v Rossii [Mechanics in Russia] (Nauka Publ., Moscow, 1978)
3. A. Grigor’yan, B. Fradlin, Istoriya mekhaniki tverdogo tela [History of solid state mechanics]
(Nauka, Moscow, 1982)
4. L. Landau, E. Lifshits, Teoreticheskaya fizika : ucheb. posobie. V 10-ti tomakh. T. 7. Teoriya
uprugosti. 5-e izd. [Theoretical physics: textbook. stipend. In 10 volumes. Vol. 7. Theory of
elasticity. 5th edn.] (Fizmatlit Publ., Moscow, 2003)
5. M. Leonov, Osnovy mekhaniki uprugogo tela [Fundamentals of elastic body mechanics] (Izd-vo
AS Kirg. SSR, Frunze, 1963)
6. A. Lyav, Matematicheskaya teoriya uprugosti [Mathematical theory of elasticity] (ONTI NKTP
SSSR Publ., Moscow, Leningrad, 1935)
7. V. Molotnikov, Kurs soprotivleniya materialov [The course of strength of materials] (SPb.,
Moscow/Lan’ Publ., Krasnodar, 2006)
8. S. Timoshenko, Istoriya nauki o soprotivlenii materialov s kratkimi svedeniyami iz istorii
teorii uprugosti i teorii sooruzhenii. 2-e izd. [History of resistance science materials with brief
information from the history of the theory of elasticity and the theory of structures. The 2nd
prod.] (GITTL Publ., Moscow, 1957)