Open AccessGeneralized integral pulses of flows and forces and potentials of visco-elastic bodies of Boltzmann-Kelvin type
Author(s) -
E. Z. Korol
Publication year - 2014
Publication title -
izvestiâ mgtu "mami"
Language(s) - English
Resource type - Journals
eISSN - 2949-1428
pISSN - 2074-0530
DOI - 10.17816/2074-0530-67356
Subject(s) - reciprocity (cultural anthropology) , helmholtz free energy , boltzmann constant , classical mechanics , physics , type (biology) , mathematics , mathematical analysis , thermodynamics , geology , psychology , social psychology , paleontology
The paper considers full group of one-dimensional or multidimensional potentials of stress and strain of rheological materials, which are described by linear and quasilinear integral ratios of Boltzmann-Kelvin type, containing one pair of temporary relaxation and creep functions, interconnected together with linear integral equations of Maxwell reciprocity. The built group of potentials as a function of integral pulse flows and forces satisfies Legendre-Eiler transformations and forms a chain of Gibbs-Helmholtz in generalized Bourne diagram. Variants of potential relations are shown.