Email this article General Reduced Forms of Constitutive Relations in the Classical Continuum Mechanics
- Authors: Brovko G.L.1
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Affiliations:
- Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory
- Issue: Vol 73, No 2 (2018)
- Pages: 47-50
- Section: Brief Communications
- URL: https://journals.rcsi.science/0027-1330/article/view/164526
- DOI: https://doi.org/10.3103/S002713301802005X
- ID: 164526
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Abstract
A theory of constitutive relations describing the resistance of bodies to deformation is developed. This theory takes into account the presence of internal body forces and internal kinematic constraints. A number of axioms and a general reduced form of constitutive relations for classical media are proposed. For simple bodies it is proved that the Il'yushin and Noll constitutive relations are equivalent.
About the authors
G. L. Brovko
Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory
Author for correspondence.
Email: glb@mech.math.msu.su
Russian Federation, Moscow, 119899
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