Solution of the Dynamic Problem of the Linear Theory of Elasticity

Solution of the Dynamic Problem of the Linear Theory of Elasticity

The article deals with a method for solving a dynamic problem of the theory of elasticity. According to this method, the stresses and momentums forming a single four-dimensional (4D) tensor are considered to be unknown. The formulation of the basic relations of the theory of elasticity in 4D space i...

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Veröffentlicht in:Mechanics of solids 2018-11, Vol.53 (6), p.609-614
1. Verfasser: Fedorov, L. V.
Format: Artikel
Sprache:eng
Schlagworte:
Classical Mechanics
Elasticity
Physics
Physics and Astronomy
Tensors
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Zusammenfassung:The article deals with a method for solving a dynamic problem of the theory of elasticity. According to this method, the stresses and momentums forming a single four-dimensional (4D) tensor are considered to be unknown. The formulation of the basic relations of the theory of elasticity in 4D space is given. As an example, the problem of the ball oscillations under the action of bulk forces is analyzed.
ISSN:0025-6544
1934-7936
DOI:10.3103/S002565441806002X