Piotr Perzyna – Scientific Conductor within Theory of Thermo-Viscoplasticity
Let it remain not only in memory.
R. Abraham, J.E. Marsden, and T. Ratiu. Manifolds, tensor analysis and applications. Springer, Berlin, 1988.
R.K. Abu Al-Rub and G.Z. Voyiadjis. A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: Part I - theoretical formulation. International Journal of Damage Mechanics, 15(4):293–334, 2006.
J.D. Campbell. The dynamic yielding of mild steel. Acta Metallurgica, 1(6):706–710, 1953.
S. Cochran and D. Banner. Spall studies in uranium. Journal of Applied Physics, 48(7):2729–2737, 1988.
W. Dornowski. Influence of finite deformations on the growth mechanism of microvoids contained in structural metals. Archives of Mechanics, 51(1):71–86, 1999.
W. Dornowski and P. Perzyna. Analysis of the influence of various effects on cycle fatigue damage in dynamic process. Archive of Applied Mechanics, 72:418–438, 2002.
M.K. Duszek-Perzyna and P. Perzyna. Analysis of anisotropy and plastic spin effects on localization phenomena. Archive of Applied Mechanics, 68:352–374, 1998.
A. Garstecki, A. Glema, and T. Łodygowski. Sensitivity of plastic strain localization zones to boundary and initial conditions and to constitutive parameters. Computational Mechanics, 30(2):164–169, 2003.
A. Glema. Analysis of wave nature in plastic strain localization in solids, volume 379 of Rozprawy. Publishing House of Poznan University of Technology, 2004. (in Polish).
A. Glema,W. Ka˛kol, and T. Łodygowski. Numerical modelling of adiabatic shear band formation in a twisting test. Engineering Transactions, 45(3-4):419–431, 1997.
A. Glema and T. Łodygowski. On importance of imperfections in plastic strain localization problems in materials under impact loading. Archives of Mechanics, 54(5-6): 411–423, 2002.
A. Glema, T. Łodygowski, and P. Perzyna. Interaction of deformation waves and localization phenomena in inelastic solids. Computer Methods in Applied Mechanics and Engineering, 183:123–140, 2000.
A. Glema, T. Łodygowski, and P. Perzyna. Localization of plastic deformations as a result of wave interaction. Computer Assisted Mechanics and Engineering Sciences, 10(1): 81–91, 2003.
A. Glema, T. Łodygowski, and W. Sumelka. Towards the modelling of an anisotropic solids. Computational Methods in Science and Technology, 16(1): 73–84, 2010.
A. Glema, T. Łodygowski, W. Sumelka, and P. Perzyna. The numerical analysis of the intrinsic anisotropic microdamage evolution in elasto-viscoplastic solids. International Journal of Damage Mechanics, 18(3): 205–231, 2009.
I.R. Ionescu and M. Sofonea. Functional and numerical methods in viscoplasticity. Oxford University Press, Oxford, New York, Tokyo, 1993.
J.R. Klepaczko. Behavior of rock like materials at high strain rates in compression. International Journal of Plasticity, 6: 415–432, 1990.
E.H. Lee. Elastic-plastic deformation at finite strain. ASME Journal of Applied Mechanics, 36: 1–6, 1969.
J.E. Marsden and T.J.H. Hughes. Mathematical Foundations of Elasticity. Prentice-Hall, New Jersey, 1983.
T. Łodygowski. On avoiding of spurious mesh sensitivity in numerical analysis of plastic strain localization. Computer Assisted Mechanics and Engineering Sciences, 2:231–248, 1995.
T. Łodygowski. Theoretical and numerical aspects of plastic strain localization, volume 312 of D.Sc. Thesis. Publishing House of Poznan University of Technology, 1996.
T. Łodygowski and P. Perzyna. Localized fracture of inelastic polycrystalline solids under dynamic loading process. International Journal Damage Mechanics, 6:364–407, 1997.
T. Łodygowski and P. Perzyna. Numerical modelling of localized fracture of inelastic solids in dynamic loading process. International Journal for Numerical Methods in Engineering, 40:4137–4158, 1997.
T. Łodygowski, P. Perzyna, M. Lengnick, and Stein E. Viscoplastic numerical analysis of dynamic plastic shear localization for a ductile material. Archives of Mechanics, 46(4): 541–557, 1994.
T. Łodygowski and W. Sumelka. Damage induced by viscoplasitc waves interaction. Vibrations in Physical Systems, 25: 23–32, 2012.
T. Łodygowski and W. Sumelka. Anisotropic damage for extreme dynamics. In George Z. Voyiadjis, editor, Handbook of Damage Mechanics. Springer, 2014.
P. Perzyna. The constitutive equations for rate sensitive plastic materials. Quarterly of Applied Mathematics, 20: 321–332, 1963.
P. Perzyna. Thermodynamic theory of viscoplasticity. Advances in Applied Mechanics, 11: 313–354, 1971.
P. Perzyna. Internal state variable description of dynamic fracture of ductile solids. International Journal of Solids and Structures, 22:797–818, 1986.
P. Perzyna. Interactions of elastic-viscoplastic waves and localization phenomena in solids. In: J.L. Wegner and F.R. Norwood, editors, IUTAM Symposium on Nonlinear Waves in Solids, pages 114–121, Victoria, Canada, August 15-20 1995.
P. Perzyna. The thermodynamical theory of elasto-viscoplasticity. Engineering Transactions, 53: 235–316, 2005.
P. Perzyna. The thermodynamical theory of elasto-viscoplasticity accounting for microshear banding and induced anisotropy effects. Mechanics, 27(1):25–42, 2008.
L. Seaman, D.R. Curran, and D.A. Shockey. Computational models for ductile and brittle fracture. Journal of Applied Physics, 47(11):4814–4826, 1976.
W. Sumelka. The Constitutive Model of the Anisotropy Evolution for Metals with Microstructural Defects. Publishing House of Poznan University of Technology, Pozna´n, Poland, 2009.
W. Sumelka. Role of covariance in continuum damage mechanics. ASCE Journal of Engineering Mechanics, 139(11):1610–1620, 2013.
W. Sumelka. Fractional viscoplasticity. Mechanics Research Communications, 56:31–36, 2014.
W. Sumelka and T. Łodygowski. The influence of the initial microdamage anisotropy on macrodamage mode during extremely fast thermomechanical processes. Archive of Applied Mechanics, 81 (12): 1973–1992, 2011.
W. Sumelka and T. Łodygowski. Reduction of the number of material parameters by ann approximation. Computational Mechanics, 52:287–300, 2013.
W. Sumelka and T. Łodygowski. Thermal stresses in metallic materials due to extreme loading conditions. ASME Journal of Engineering Materials and Technology, 135:021009–1–8, 2013.
G.Z. Voyiadjis and R.K. Abu Al-Rub. A finite strain plastic-damage model for high velocity impacts using combined viscosity and gradient localization limiters: Part II - numerical aspects and simulations. International Journal of Damage Mechanics, 15(4):335–373, 2006.
H. Xiao, O.T. Bruhns, and A. Meyers. Hypo-elasticity model based upon the logarithmic stress rate. Journal of Elasticity, 47:51–68, 1997
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Polish Academy of Sciences, Warsaw, Poland