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IssuesArchive of Issues2010-6pp.865-875

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Yu.I. Kadashevich and S.P. Pomytkin, "Description of Second-Order Effects within the Framework of Endochronic Inelasticity for Large Deformations," Mech. Solids. 45 (6), 865-875 (2010)
Year 2010 Volume 45 Number 6 Pages 865-875
DOI 10.3103/S0025654410060105
Title Description of Second-Order Effects within the Framework of Endochronic Inelasticity for Large Deformations
Author(s) Yu.I. Kadashevich (Saint Petersburg State Technological University of Plant Polymers, Ivana Chernykh 4, St.†Petersburg, 198095 Russia,
S.P. Pomytkin (Saint Petersburg State Technological University of Plant Polymers, Ivana Chernykh 4, St.†Petersburg, 198095 Russia,
Abstract The history of origination and development of the endochronic approach is briefly described. The Novozhilov-Kadashevich version of the flow theory is used to write the constitutive relations of endochronic type and to present a method for their generalization to the domain of large deformations and rotations. Several examples of qualitative description of inelastic second-order effects are demonstrated. It is also noted that, within the framework of geometrically linear theories of phenomenological-type inelasticity, such effects cannot be explained theoretically from unified positions.
Keywords inelasticity, endochronic theory, constitutive relations, large deformations, second-order effects
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Received 27 July 2010
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