Abstract
Based on the assumption of the solidity of the body, it can be assumed that the internal forces are continuously distributed inside the body. The set of stresses acting on the areas drawn through the point under study constitutes the stress state at the point under consideration. Here, the elements of the theory of the stress state are considered, which are necessary for strength calculations for an arbitrary stress state at a point in the body. For such calculations in the strength of materials, one or another hypothesis is introduced about the predominant influence of a certain stress function on the strength of the material. These hypotheses are called strength theories.
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Notes
- 1.
The principle of the independence of the action of forces does not apply to the work of external and internal forces and to potential energy.
References
V. Molotnikov, A. Molotnikova, Mexanika deformacij [Deformation Mechanics] (RFNO Publ., Rostov-on-Don, 2015)
Y. Rabotnov, Soprotivlenie materialov [Strength of Materials] (Gosfiztexmzdat Publ., Moscow, 1962)
Timoshenko, Strength of Materials. Part I(Macmillan and Company Publ., 1947)
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Molotnikov, V., Molotnikova, A. (2023). Tense State: Strength Theories. In: Theoretical and Applied Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-031-09312-8_14
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DOI: https://doi.org/10.1007/978-3-031-09312-8_14
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Online ISBN: 978-3-031-09312-8
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