Abstract:
The evolutionary constitutive elastic-inelastic relation with its compatible objective derivative is derived in general form using the kinematics of superposition of small elastic and inelastic strains on finite elastic-inelastic strains. The equation is rendered concrete using the elastic law for a slightly compressible material.
This publication is cited in the following 16 articles:
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “LARGE DEFORMATIONS AND HEATING OF ELASTOVISCOPLASTIC MATERIAL IN A CYLINDRICAL VISCOMETER”, Mech. Solids, 57:3 (2022), 532
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “Calculations of Large Nonisothermal Deformations of Elastoviscoplastic Materials”, Mech. Solids, 57:8 (2022), 2066
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L. V. Kovtanyuk, G. L. Panchenko, “Mathematical Modelling of the Production Process of Irreversible Strains Under the Heating and Cooling of a Flat Heavy Layer on an Inclined Surface”, Lobachevskii J Math, 42:8 (2021), 1998
L. V. Kovtanyuk, G. L. Panchenko, “On the Changing Mechanisms of the Production of Large Irreversible Deformations in the Conditions of Rectilinear Motion in a Cylindrical Layer”, Mech. Solids, 55:2 (2020), 162
A. A. Burenin, A. V. Tkacheva, G. A. Shcherbatyuk, “Calculation of the Unsteady Thermal Stresses in Elastoplastic Solids”, J Appl Mech Tech Phy, 59:7 (2018), 1197
A.A. Burenin, A.V. Tkacheva, G.A. Scherbatyuk, “On the calculation of unsteady thermal stresses in elastoplastic solids”, Comp. Contin. Mech., 10:3 (2017), 245
Anatoli Rogovoy, Olga Stolbova, “Modeling the magnetic field control of phase transition in ferromagnetic shape memory alloys”, International Journal of Plasticity, 85 (2016), 130
A.A. Bazhin, A.A. Burenin, E.V. Murashkin, “Simulation of the process of the accumulation of large irreversible deformations under plastic flow and creep conditions”, Journal of Applied Mathematics and Mechanics, 80:2 (2016), 182
R.G. Kulikov, T.G. Kulikova, Nikolai A. Trufanov, “Numerical Method for Solving the Problem of Thermomechanics of Polymeric Environment in Conditions of Phase Transition”, SSP, 243 (2015), 139
Anatoly A. Rogovoy, “Formalized approach to construction of the state equations for complex media under finite deformations”, Continuum Mech. Thermodyn., 24:2 (2012), 81
A. A. Rogovoi, O. S. Stolbova, “Evolutionary model of finite-strain thermoelasticity”, J. Appl. Mech. Tech. Phys., 49:3 (2008), 500–509
A. A. Rogovoi, “Kinematics of finite-strain elastic-inelastic deformation”, J. Appl. Mech. Tech. Phys., 49:1 (2008), 136–141
A. A. Rogovoi, “Thermodynamics of finite strain elastic-inelastic deformation”, J. Appl. Mech. Tech. Phys., 48:4 (2007), 591–598
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