Summary
The theory of viscoplasticity based on total strain and overstress is used in order to simulate the sensitivity to the rate of loading of two commonly used stainless steels, namely AISI 316L and 316H. The consitutive model has been implemented within a transient finite element computer code using a stress update algorithm based on the elastic predictor-return mapping concept. Both monotonic and cyclic loading conditions are considered in one or more space dimensions.
Experimental results showing strain-rate dependence at room temperature are reported for both types of steel and used for calibrating the viscoplastic numerical model. An explicit dependence of the nonlinear viscosity function on the strain rate has been obtained and the calibrated model is found to yield results which are in excellent agreement with the experimental data.
Finally the calibrated viscoplastic model is applied to predict the response of two representative structures subjected to impulsive loading. The results indicate a significant effect of the rate of loading on the internal stress distribution.
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References
Albertini, C., Cenerini, R., Curioni, S., Montagnani, M.: Dynamic mechanical properties of austenitic stainless steels-fitting of experimental data on constitutive equations. VII SMIRT, August 1983, Chicago, paper L 2/4 53–62.
Malvern, L. E.: The propagation of longitudinal waves of plastic deformation in a bar of material exhibiting a strain rate effect. Trans. ASME 73, Ser. E, J. Appl. Mech.18, 203–208 (1951).
Perzyna, P.: The constitutive equations for rate sensitive plastic materials. Q. Appl. Math.20, 321–332 (1963).
Bodner, S. R., Partom, Y.: Constitutive equations for elastic-viscoplastic strain hardening materials. J. Appl. Mech.42, 2, 385–389 (1975).
Cernocky, E. P., Krempl, E.: A theory of viscoplasticity based on infinitesimal total strain. Acta Mechanica36, 263–289 (1980).
Simo, J. C., Ortiz, M.: A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic consitutive equations. Comput. Meths. Appl. Mech. Engrg.49, 221–245 (1985).
Hughes, T. J. R.: Numerical implementation of constitutive models: rate-independent deviatoric plasticity. In: Theoretical foundation for large-scale computations of nonlinear material behaviour (Nemat-Nasser, S. et al., eds.), pp. 29–63. Martinus Nijhoff Publishers 1984.
Donea, J., Youtsos, A. G., Casadei, F.: A stress update algorithm for the theory of viscoplasticity based on total strain and overstress. Proceedings of the International conference on Computational Plasticity, Models, Software and Applications, Barcelona, Spain, April 6–10, 1987, pp. 413–424. Pineridge Press 1987.
Liu, M. C. M., Krempl, E.: A uniaxial viscoplastic model based on total strain and overstress. J. Mech. Phys. Solids27, 377–391 (1979).
Casadei, F., Delzano, C., Magonette, G., Halleux, J. P., Verzeletti, G.: Dynamic testing of large AISI-316L steel specimens behaviour using LDTF. Nucl. Eng. Design102, 463–474 (1987).
Han, S.: Le comportement d'hystérésis des solides et sa description par un schéma à mémoire discrète. Thèse présentée à l'Institut National Polytechnique de Grenoble, 1985.
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Youtsos, A.G., Donea, J. & Verzeletti, G. Viscoplastic behaviour of stainless steels AISI 316L and 316H. Acta Mechanica 76, 161–187 (1989). https://doi.org/10.1007/BF01253578
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DOI: https://doi.org/10.1007/BF01253578