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Physical and numerical aspects of dispersion phenomenon in solids under impact loading

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Języki publikacji
EN
Abstrakty
EN
Dispersion as the material property is discussed in the paper. The definition, origination and dispersion analysis are presented. The dispersive and non-dispersive constitutive models are studied. The mechanical problem of inelastic deformation of solids is considered. The evolution of viscoplastic flow describes material hardening and softening with formation of strain localization zone. Wave character and dispersion are recognized as fundamental elements in formulation and solution in dynamic, rate dependent processes with strain localization and shear band propagation. The physical and numerical aspects of dispersion clarify the development of deformation, stress or energy distribution and verify the solution procedure. The paper exposes the importance of dispersion phenomenon that should be carefully investigated in class of solid mechanics problems. The numerical results confirm the role of dispersion effects.
Rocznik
Tom
Strony
127--146
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
Bibliografia
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  • 2. Cherukuri H.P., Dispersion analysis of numerical approximations to pianę wave motions in an isotropic elastic solids, Computational Mechanics, , 2000, pp. 317-328.
  • 3. Duszek-Perzyna, M.K., and Perzyna, P. Analysis of anisotropy and plastic spin effects on localization phenomcna, Archive of Applied Mechanics, , 1998, pp. 352-374.
  • 4. Harari I., Finite element dispersion of cylindrical and spherical acoustic waves, Computer Methods in Applied Mechanics and Engineering, (20-21), 2001, pp. 2533-2542.
  • 5. Garstecki A., Glema A., Łodygowski T., Sensitivity of plastic strain localization zones to boundary and initial conditions and to constitutive parameters, Computational Mechanics, (2), 2003, pp. 164-169.
  • 6. Glema A., Łodygowski T., Perzyna P., Interaction of deformation waves and localization phenomena in inelastic solids. Int. Journ.Comp.Appl.Mech.Eng., 183, 2000, pp.123-140
  • 7. Glema A., Łodygowski T., Perzyna P., The role of dispersion for the description of strain localization in materials under impact loading, in Procecdings of the ECCMM 2001 - European Conference on Computational Meehanics, Cracow, Poland, 26-29 June 2001, CD.
  • 8. Glema A., Analysis of wave naturę in plastic strain localization in solids, Poznań University Press (Rozprawy, 2003 379), Poznań, 2004.
  • 9. Hughes T.J.R., Finite element mcthod, lincar static and dynamie finite element analysis, Prentice-Hall, Englewood Cliffs, 1987.
  • 10. KolskyH. , Stress waves in solids, Dover Publications, New York, 1963.
  • 11. Perzyna, P. The constitutive eąuations for ratę sensitive plastic materials, Quart. Appl. Math., 1963, pp. 321-332.
  • 12. Perzyna, P, Thermodynamic theory of viscoplasticity, Advances in Applied Mechanics, 1971, pp. 313-354.
  • 13. Perzyna, P., Adiabatic shear band localization fracture of solids in dynamie loading processes, Proc. of Int. Conference on Mcchanical and Physical Behaviour of Materials under Dynamie Eoading, Ed. J.Harding, Oxford, September 26-30, 1994; Les Editions de Physiąue Le Ulis, 1994, pp. 441-446.
  • 14. Perzyna, P. Instability phenomena and adiabatic shear band localization in thermoplastic flow processes, Acta Mechanica,, 1994, pp. 173-205.
  • 15. Perzyna, P. Intcractions of elastic-viscoplastic waves and localization phenomcna in solids, In: IUTAM Symposium on Nonlinear Waves in Solids, Eds., J.L. Wegner and F.R. Norwood, August 15-20, 1993, Yictoria, Canada, ASME, 1995, pp. 114-121.
  • 16. Sluys EJ., Wave Propagation, Localization and Dispersion in Softening Solids, Doctoral Thesis, Delft University Press, Delft, 1992.
  • 17. Thau S.A., Linear dispersive waves, In: Nonlinear Waves, Eds., S.Leibovich and A.R.Seebass, Cornell University Press, Ithaca, 1974, pp. 44-81.
  • 18. Wang W.M., Stationary and Propagative Instabilities in Metals - A Computational Point of View, Doctoral Thesis, Delft University Press, Delft, 1997.
  • 19. Whitham G.B., Linear and nonlinear waves, Wiley, New York, 1974.
  • 20. Whitham G.B., Dispersive waves and variational principles, In: Nonlinear waves, Eds. S. Leiboyich, A.R. Seebass, Cornell University Press, Ithaca, 1974, pp. 139-169.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0064-0060
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