The paper deals with theoretical description and numerical simulations of internal sources of heating/cooling in large strain thermo-elasticity and thermo-elasto-plasticity. The attention is paid to metallic materials which undergo cooling in the elastic range and heating during plastic yielding. Theoretical description can be derived from thermodynamic considerations based on the first and second laws of thermodynamics and assumed forms of the Helmholtz free energy. Numerical simulations within the Finite Element Method are performed for a uniaxial tension test and elongation of a dogbone-shape sample. For the latter specimen, a comparison with experimental results is performed, and good agreement is obtained.
REFERENCES(23)
1.
Bonet J., Wood R.D., 3008, Nonlinear Continuum Mechanics for Finite Element Analysis, 2nd ed., Cambridge University Press, Cambridge.
Duszek M., Perzyna P., 1991, The localization of plastic deformation in thermoplastic solids, International Journal of Solids and Structures, 27, 11, 1419-1443.
Mucha M., Rose L., Wcisło B., Menzel A., Pamin J., 2023, Experiments and numerical simulations of Lueders bands and Portevin-Le Chatelier effect in aluminium alloy AW5083, Archives of Mechanics, 75, 3, 301-336.
Musiał S., Maj M., Urbański L., Nowak M., 2022, Field analysis of energy conversion during plastic deformation of 310S stainless steel, International Journal of Solids and Structures, 238, 1, 111411.
Oliferuk W., Maj M., Zembrzycki K., 2013, Determination of the energy storage rate distribution in the area of strain localization using infrared and visible imaging, Experimental Mechanics, 55, 4, 753-760.
Oppermann P., Denzer R., Menzel A., 2022, A thermo-viscoplasticity model for metals over wide temperature ranges – application to case hardening steel, Computational Mechanics, 69, 541-563.
Taylor G.I., Quinney H., 1934, The latent energy remaining in a metal after cold working, Proceedings of the Royal Society of London. Series A, 143, 307-326.
Truesdell C., Toupin R.A., 1960, The classical field theories, [In:] S. Flügge, Edit., Encyclopedia of Physics. Vol. III Principles of Classical Mechanics and Field Theory, 226-788, Springer-Verlag, Berlin Heidelberg.
Wcisło B., Pamin J., 2017, Local and non-local thermomechanical modeling of elastic-plastic materials undergoing large strains, International Journal for Numerical Methods in Engineering, 109, 1, 102-124.
Wcisło B., Pamin J., Rose L., Menzel A., 2023, On spatial vs. referential isotropic Fourier’s law in finite deformation thermomechanics, Engineering Transactions, 71, 1, 111–140.
Wriggers P.A., Miehe C., Kleiber M., Simo J.C., 1992, On the coupled thermomechnical treatment of necking problems via finite element methods, International Journal for Numerical Methods in Engineering, 33, 869-883.
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