References
- [1] Simo JC, Hughes TJR. “Computational Inelasticity”, New York: Springer, 2000. ISBN-10: 0387975209
- [2] De Souza Neto, EA, Perić D, Owen DRJ. “Computational Methods for Plasticity: Theory and Applications”, 1st ed. Singapore: Wiley; 2008. ISBN-10: 0470694521
- [3] Nemat-Nasser S. “Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic Materials”, Cambridge: Cambridge University Press, 2004. ISBN-10: 0521108063
- [4] Asaro RJ. “Micromechanics of crystals and polycrystals”, In: John W. Hutchinson, Theodore Y. Wu, editors. Advances in Applied Mechanics. Vol 23. New York: Academic Press; pp. 1 – 115, 1983. ISBN-10: 0120020238
- [5] Peirce D, Asaro RJ, Needlemann A. “An analysis of nonuniform and localized deformation in ductile single crystals”, Acta Metall. 30, pp. 1087 – 1119, 1982. DOI: 10.1016/0001-6160(82)90005-0
- [6] Peirce D. “Shear band bifurcation in ductile single crystals” J Mech Phys Solids. 31, pp. 133 – 153, 1983. DOI: 10.1016/0022-5096(83)90047-9
- [7] Spencer AJM. “Continuum Mechanics”, 1st ed. New York: Longman, 2012. ISBN-10: 0486435946
- [8] Bonet J, Wood RD. “Nonlinear Continuum Mechanics for Finite Element Analysis”, 2nd ed. Cambridge: Cambridge University Press, 2008. ISBN-10: 0521838703
- [9] Holzapfel GA. “Nonlinear Solid Mechanics. A continuum approach for engineering”, Chichester: Wiley, 2001. ISBN-10: 0471823198
- [10] Écsi L, Élesztős P. “An alternative material model using a generalized J2 finite-strain flow plasticity theory with isotropic hardening”, Int J Appl Mech Engrg. 23 (2), 351–365, 2018. DOI: 10.2478/ijame-2018-0019
- [11] Écsi L, Élesztős P. “An Alternative Method for Modelling the Degradation of Hyperelastic Materials within the Framework of Finite-strain Elastoplasticity”, In: Engineering Design Applications II, Structures, Materials and Processes, Springer, 2019. In press, ISBN- 978-3-030-20800-4
- [12] Écsi L, Élesztős P, Jerábek R, Jančo R, Hučko B. “An Alternative Framework for Developing Material Models for Finite-Strain Elastoplasticity”, In: Metal Matrix Composites, IntechOpen, 2019. In press, DOI: 10.5772/intechopen.85112
- [13] Barber JR. “Elasticity”, 2nd ed. New York: Kluwer Academic Publishers, 2004. ISBN-1-4020-0966-6
- [14] Slaughter WS. “The Linearized Theory of Elasticity”, New York: Springer, 2002. ISBN- 978-1-4612-6608-2
- [15] Radok JRM. “Some Basic Problems Of The Mathematical Theory of Elasticity. Fundamental equations, plane theory of elasticity, torsion and bending”, Eddied by Muskhelshvli NI. Dordrecht: Springer, 1977. ISBN- 978-90-481-8245-9
- [16] Lubliner J. “Plasticity Theory” 2nd ed. Berkeley: Pearson Education Inc., 2006. ISBN-10: 0486462900
- [17] Blume JA. “Compatibility conditions for a left Cauchy-Green strain field”, Journal of Elasticity 21, pp. 271 – 308, 1989.
- [18] Acharya A. “On compatibility conditions for the left Cauchy-Green deformation field in three dimensions”, Journal of Elasticity 56, pp. 95 – 105, 1999.
- [19] Amrouche C, Ciarlet PG, Grate L, Kesavan S. “On Saint Venant’s compatibility conditions and Poincaré’s lemma”, In: Mathematical Problems in Mechanics. C. R. Acad. Sci. Paris 342, Ser. I, pp. 887 – 891, 2006.
- [20] Schäfer HN, Schmidt JP. “Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers”, Heidelberg: Springer, 2014. ISBN- 978-3-662-43443-7.
- [21] Continuum mechanics/Curl of a gradient of a vector. On official website of Wikiversity, https://en.wikiversity.org/wiki/Continuum_mechanics/Curl_of_a_gradient_of_a_vector, accessed May 16 2019.
- [22] Schey HM. “Div, grad, curl and all that”, An informal text on vector calculus. 3nd ed. NY: Norton & Company, 1997. ISBN-0-393-96997-5.
- [23] Jančo, R. “Solution of the thermo-elastic-plastic problems with consistent integration of constitutive equation”, Strojnícky časopis – Journal of Mechanical Engineering 53 (4), pp. 197 – 214, 2002.
- [24] Halama, R., Markopoulus, A., Jančo, R, Bartecký, M. “Implementation of MAKOC cyclic plasticity model with memory“, Advanced in Engineering Software 113, pp. 34 – 46, 2017. DOI: 10.1016/j.advengsoft.2016.10.009