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Analysis of wave propagation in elastic-plastic rods of a variable cross section using direct mathematical modelling

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Summary

A numerical procedure to study one-dimensional waves in solids is considered in application to longitudinal loading of elastic-plastic rods of a variable cross section. The procedure assumes direct mathematical modelling of mechanical perturbations. Multiple reflections of waves from the rod ends, alternating signs of stress, influence of isotropic and anisotropic hardening, and the Bauschinger effect are taken into account. A detailed description of stress waves in elastic-plastic rods of a variable cross section at the impact of a rigid body is presented.

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References

  1. Shorr, B. F.: Direct mathematical modelling of the process of propagation of mechanical perturbation in dynamic problems of multiply colliding solids (in Russian). In: 4th All-Union Congress on Theoretical and Applied Mechanics, p. 37. Kiev: Naukova Dumka 1976

    Google Scholar 

  2. Shorr, B. F.;MeÍnikova, G. V.: Calculation of mechanical systems using method of direct mathematical modelling (in Russian). Moscow: Mashinostroenie 1988

    Google Scholar 

  3. Shorr, B. F.: Mathematical modelling of wave processes in elastic-viscoplastic solids. Izv. AN SSSR. Mekhanika Tverdogo Tela 4 (1984) 144–151 (Trans. Allerton Press (1984) 141–148)

    Google Scholar 

  4. Sedov, L. I.: A course in continuum mechanics. Groningen: Volters-Noordhoff 1972

    Google Scholar 

  5. Lippmann, H.: Mechanik des plastischen Fließens. Berlin: Springer 1981

    Google Scholar 

  6. Jwan, W. D.: On a class of models for the yielding behavior of continuous and composite systems. Trans. ASME Ser. E: J. Appl. Mech. 34 (1967), 612–617

    Google Scholar 

  7. Lippmann, H.;Winter, W.: Elastisch-plastische Stabwerke mit kinematischer Verfestigung als Modell für vielkristallines Werkstoff verhalten unter Wechselbeanspruchung, Teill: Modellierung und Simulation der Ermüdung. Ing. Arch. 57 (1987) 431–445

    Google Scholar 

  8. Kadashevich, Ju. I.;Novozhilov, V. V.: The theory of plasticity which takes into account residual microstresses (in Russian). J. Appl. Math. Mech. 22 (1958) 104–118

    Google Scholar 

  9. Veklich, N. A.;Malyshev, B. M.: Longitudinal impact of a rigid body against clamped rod (in Russian) Izv. AN SSSR. Mekhanika Tverdogo Tela 6 (1972) 140–146

    Google Scholar 

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Authors and Affiliations

  1. Central Institute of Aviation Motors, CIAM, Aviamotornaya St., 2, 111250, Moscow, Russia

    B. Shorr

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  1. B. Shorr
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Shorr, B. Analysis of wave propagation in elastic-plastic rods of a variable cross section using direct mathematical modelling. Arch. Appl. Mech. 65, 537–547 (1995). https://doi.org/10.1007/BF00789095

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  • DOI: https://doi.org/10.1007/BF00789095

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