Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 3, Pages 44–47 (Mi vmumm68)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Properties of relaxation curves for the case of initial stage of deformation with constant velocity in the linear heredity theory

A. V. Khokhlov

Lomonosov Moscow State University, Institute of Mechanics
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Abstract: Basic qualitative properties of the theoretic relaxation curves at ramp strain histories generated by the linear integral constitutive equation with an arbitrary relaxation function are analytically studied. Stress and stress rates jumps, monotonicity and convexity intervals of ramp relaxation curves, their asymptotic behavior at infinity, mutual two-sided bounds for relaxation curves and modulus, dependence on initial stage parameters and relaxation modulus properties and condition of convergence to the relaxation curve at instantaneous loading with the rise-time tending to zero are analyzed.
Key words: viscoelastoplasticity, relaxation curves, rise time influence, bounds for relaxation curves, memory fading, identification.
Funding agency Grant number
Russian Foundation for Basic Research 17-08-01146
Received: 27.01.2016
English version:
Moscow University Mechanics Bulletin, 2017, Volume 72, Issue 3, Pages 55–58
DOI: https://doi.org/10.3103/S0027133017030013
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. V. Khokhlov, “Properties of relaxation curves for the case of initial stage of deformation with constant velocity in the linear heredity theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 3, 44–47; Moscow University Mechanics Bulletin, 72:3 (2017), 55–58
Citation in format AMSBIB
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