References
- Timoshenko, SP, and Goodier, JN, 1970. Theory of Elasticity, . New York: McGraw Hill; 1970.
- O'Leary, D, 2004. Elastoplastic torsion: Twist and stress, Comput. Sci. Eng. 6 (2004), pp. 74–76.
- Bertola, V, and Cafaro, E, 2005. Geometric approach to laminar convection, J. Thermophys. Heat Transfer 19 (4) (2005), pp. 581–583.
- Hasanov, A, and Tatar, S, 2009. Solution of linear and nonlinear problems related to torsional rigidity of a beam, Comput. Mater. Sci. 45 (2009), pp. 494–498.
- Koshelev, AI, 1954. Existence of a generalized solution of the elastoplastic problem of torsion, Dokl. Akad. Nauk SSSR 99 (1954), pp. 357–360.
- Payne, LE, 1977. Some applications of the maximum principle in the problem of torsional creep, SIAM J. Appl. Math. 35 (1977), pp. 446–455.
- Hasanov, A, 2000. Convexity argument for monotone potential operators and its application, Nonlinear Anal: Theory, Method Appl. 41 (78) (2000), pp. 907–919.
- Hasanov, A, and Erdem, A, 2008. Determination of unknown coefficient in a nonlinear elliptic problem related to the elastoplastic torsion of a bar, IMA J. Appl. Math. 73 (2008), pp. 579–591.
- Mamedov, A, 1995. An inverse problem related to the determination of elastoplastic properties of a cylindrical bar, Int. J. Non-Linear Mech. 30 (1995), pp. 23–32.
- Mamedov, A, 1998. Determination of elastoplastic properties of bimetallic and hollow bar, Int. J. Non-Linear Mech. 33 (1998), pp. 385–392.
- Kachanov, LM, 1967. The Theory of Creep, National Lending Library for Sciences and Technology. Yorkshire: Boston Spa; 1967.
- Hasanov, A, 1995. An inverse problem for an elastoplastic medium, SIAM J. Appl. Math. 55 (5) (1995), pp. 1736–1752.
- Ladyzhenskaya, OA, and Uraltseva, NN, 1968. Linear and Quasilinear Elliptic Equations. New York: Academic Press; 1968.
- Wei, Y, and Hutchinson, JW, 2003. Hardness trends in micron scale indentation, J. Mech. Phys. Solids 51 (2003), pp. 2037–2056.
- Cao, YP, and Lu, J, 2004. A new method to extract the plastic properties of metal materials from an instrumented spherical indentation loading curve, Acta Mater. 52 (2004), pp. 4023–4032.
- Budiansky, B, 1959. A reassessment of deformation theories of plasticity, J. Appl. Mech. 26 (1959), pp. 259–264.
- Fleck, NA, and Hutchinson, JW, 2001. A reformulation of strain gradient plasticity, J. Mech. Phys. Solids 49 (2001), pp. 2245–2271.
- Hasanov, A, 2007. An inversion method for identification elastoplastic properties from limited spherical indentation measurements, Inverse Probl. Sci. Eng. 15 (6) (2007), pp. 601–627.
- Hasanov, A, and Tatar, S, 2010. An inversion method for identification of elastoplastic properties of a beam from torsional experiment, Int. J. Non-Linear Mech. 45 (2010), pp. 562–571.
- Hasanov, A, and Tatar, S, 2010. Semi-analytic inversion method for determination of elastoplastic properties of power hardening materials from limited torsional experiment, Inverse Probl. Sci. Eng. 18 (2010), pp. 265–278.
- Perona, P, and Malik, J, 1987. Scale Space and Edge Detection Using Anisotropic Diffusion. Miami Beach: Proceedings of the IEEE Computer Socirty Workshop on Computer Vision; 1987, IEEE Computer Society Press, Washington, 1987, pp. 16–22.
- Perona, P, and Malik, J, 1990. Scale space and edge detection using anisotropic diffusion, IEEE Trans. Pattern Anal. Mach. Intell. 12 (1990), pp. 629–639.
- Hasanov, A, and Liu, Z, 2008. An inverse coefficient problem for a nonlinear parabolic variational inequality, App. Math. Lett. 21 (2008), pp. 563–570.
- Ou, YH, Hasanov, A, and Liu, Z, 2008. Inverse coefficient problems for nonlinear parabolic differential equations, Acta Math. Sin. Engl. Ser. 24 (2008), pp. 1617–1624.
- Hasanov, A, DuChateau, P, and Pektas, B, 2006. An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation, J. Inverse Ill-Posed Probl. 14 (2006), pp. 435–463.
- Ladyzhenskaya, OA, 1985. Boundary Value Problems in Mathematical Physics. New York: Springer-Verlag; 1985.
- Tikhonov, A, and Arsenin, V, 1977. Solution of Ill-Posed Problems. New York: Wiley; 1977.
- Ivanov, VK, Vasin, VV, and Tanana, VP, 1978. Theory of Linear Ill-Posed Problems and its Applications. Moscow: Nauka; 1978.
- Hasanov, A, 1997. Inverse coefficient problems for monotone potential operators, Inverse Probl. 13 (1997), pp. 1265–1278.
- Natanson, IP, , Theory of Functions of a Real Variable, Vol. 1, Translated from Russian by L.F. Boron, Frederick Ungar, New York, 1961.