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An alternative representation of stress in plastically deformed bodies and its interpretation

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Abstract

The stresses occurring in elastic-plastic problems with spherical or cylindrical symmetry can be represented by uniform expressions containing integrals over the radius with the equivalent plastic strain as a factor of the integrand. These terms, which may be interpreted as compatibilizing stresses, are closely related to the residual stresses.

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References

  1. Megahed, M.M.: Elastic-plastic behaviour of a thickwalled tube with general nonlinear hardening properties. Int. J. Mech. Sci 32 (1990) pp. 551/563.

    Article  Google Scholar 

  2. Megahed, M.M.: Elastic-plastic behaviour of spherical shells with non-linear hardening properties. Int. J. Solids Structures 27 (1991) pp. 1499/1514.

    Article  Google Scholar 

  3. Gamer, U.: On the quasi-analytical solution of elastic problems with nonlinear hardening. Advances in Continuum Mechanics (Edited byO. Brüller, V. Mannl andJ. Najar) pp. 168/77. Berlin: Springer 1991.

    Google Scholar 

  4. Gamer, U.: Zur elastisch-plastischen Kugelschale. ZAMM 72 (1992).

  5. Gamer, U. andM.V. Bengeri: Die elastisch-plastische Deformation der hohlkugel und des Hohlzylinders bei isotroper Verfestigung.

  6. Gamer, U. The shrink fit with nonlinearly hardening elastic-plastic hub. J. Appl. Mech. 54 (1987) pp. 474/476.

    Article  MATH  Google Scholar 

  7. Gamer, U.: The expansion of the elastic-plastic spherical shell with nonlinear hardening. Int. J. Mech. Sci. 30 (1988) pp. 415/426.

    Article  MATH  Google Scholar 

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Gamer, U. An alternative representation of stress in plastically deformed bodies and its interpretation. Forsch Ing-Wes 58, 141–145 (1992). https://doi.org/10.1007/BF02574526

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