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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, kadash@sprmt.hop.stu.neva.ru)
S.P. Pomytkin (Saint Petersburg State Technological University of Plant Polymers, Ivana Chernykh 4, St.†Petersburg, 198095 Russia, sppom@yandex.ru)
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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