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Casey J. and Naghdi P.M., Strain Hardening Response of Elastic Plastic Materials, in Mechanics of Engineering Materials (edited by C.S. Desai and R.H. Gallagher), Wiley New York, 1984, Chap. 4, pp. 61–89
Casey J. and Naghdi P.M., Further Constitutive Results in Finite Plasticity, Quart. J. Mech. Appl. Math. 37, No. 2, 231–259 (1984)
Casey J. and Naghdi P.M., Constitutive Results for Finitely Deforming Elastic-Plastic Materials, in Constitutive Equations: Macro and Computational Aspects (edited by K.J. Willam), ASME, 1984, pp. 53–71
Carroll M.M., A Rate-Independent Constitutive Theory for Finite Inelastic Deformations, J. Appl. Mech. 54, 15–21 (1987)
Drucker D.C., A More Fundamental Approach to Stress–Strain Relations, in Proc. First National Congr. Appl. Mech. ASME, Chicago, June 1951, pp. 487–491
Drucker D.C., On the Postulate of Stability of Material in the Mechanics of Continua, J. Méchanique 3, No. 2, 235–249 (1964)
Iliushin A.A., On the Postulate of Plasticity, PMM 25, No. 3, 503–507 (1961)
Naghdi P.M. and Trapp J.A., Restrictions on Constitutive Equations of Finitely Deformed Elastic–Plastic Materials, Quart. J. Mech. Appl. Math. 28, Part 1, 25–46 (1975)
Naghdi P.M. and Trapp J.A., On the Nature of Normality of Plastic Strain Rate and Convexity of Yield Surfaces in Plasticity, J. Appl. Mech. 62, 61–66 (1975)
Casey J., A Simple Proof of a Result in Finite Plasticity, Quart. Appl. Math. 42, 61–71 (1984)
Casey J. and Tseng M., A Constitutive Restriction Related to Convexity of Yield Surfaces in Plasticity, J. Appl. Math. Phys. 35, 478–496 (1984)
Lin H.C. and Naghdi P.M., Necessary and Sufficient Conditions for the Validity of a Work Inequality in Finite Plasticity, Quart. J. Mech. Appl. Math. 42, Part 1, 13–21 (1989)
Courant R. and John F., Introduction to Calculus and Analysis, Wiley, New York, 1974
Casey J. and Naghdi P.M., On the Relationship between the Eulerian and Lagrangian Descriptions of Finite Rigid Plasticity, Arch. Rational Mech. Math. 102, 351–375 (1988)
Casey J., On Finitely Deforming Rigid-Plastic Materials, Internat. J. Plasticity 2, 247–277 (1986)
Eringen A.C., Nonlinear Theory of Continuous Media, McGraw-Hill, New York, 1962
Atluri S.N., On Constitutive Relations at Finite Strain: Hypo-Elasticity and Elasto-Plasticity with Isotropic or Kinematic Hardening, Comput. Methods Appl. Mech. Engrg. 43, 137–171 (1984)
Johnson G.C. and Bammann D.J. A Discussion of Stress Rates in Finite Deformation Problem, Internat. J. Solids and Structures 20, No. 8, 725–737 (1984)
Truesdell C. and Toupin R.A., The Classical Field Theories, in Encyclopedia of Physics, Vol. III/l (edited by Flügge S.), Springer-Verlag, Berlin, 1960
Truesdell C. and Noll W., The Non-Linear Field Theories of Mechanics, in Encyclopedia of Physics, Vol. III/3 (edited by Flügge S.), Springer-Verlag, Berlin, 1965
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Herrmann, W. (1993). Inelastic Constitutive Relations. In: Asay, J.R., Shahinpoor, M. (eds) High-Pressure Shock Compression of Solids. High-Pressure Shock Compression of Condensed Matter. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0911-9_5
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