On the Use of the Continuum Mechanics Method for Describing Interactions in Discrete Systems with Rotational Degrees of Freedom |
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| Authors: | Elena A. Ivanova |
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| Affiliation: | 1.Dept. of Theoretical Mechanics,Peter the Great St. Petersburg Polytechnic University,St. Petersburg,Russia;2.Institute for Problems in Mechanical Engineering of Russian Academy of Sciences,St. Petersburg,Russia |
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| Abstract: | Elastic interactions in a system of two body-points possessing both translational and rotational degrees of freedom are studied for the most general case of motion in 3D space. The continuum mechanics method is used as a theoretical foundation for describing the interactions. A definition of strain measures for the discrete system is given by analogy with that in continuum mechanics. Constitutive equations for force and moment vectors are derived based on the energy balance equation. Several new interaction potentials are suggested. |
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