Analysis of complex variable processes of elastic-plastic deformation by means of the hierarchical consistency of material models

Boris Melnikov, Artem Semenov

Abstract


A multimodel analysis of the elastic-plastic behavior of materials and structural components under complex non-proportional variable loading is considered. The multimodel elastic-plastic analysis is based on the developed library of elastic-plastic models and a system of criteria allowing the selection of adequate models. A unified form of material model description is given intended for the efficient finite element implementation. Efficiency of the multimodel analysis is illustrated considering several examples.

Keywords:
plasticity, complex loading, multimodel analysis, finite element computations

Full Text:

 PDF

References


Benallal, A., Cailletaud, G., Chaboche, J. L., Marquis, D., Nouailhas, D. and Rousset, M. 1989. Description and modelling of non-proportional effects in cyclic plasticity, in M.W. Brown and K.J. Miller (Eds.). Biaxial and Multiaxial Fatigue. EGF 3. Mechanical Engineering Publications, London, 107-129.

Benin, A.V., Semenov, A.S., Semenov S.G., Melnikov, B.E. 2013. Simulation of pulling reinforcing bar from concrete. Part 1. Models with account of discontinuity. Magazine of Civil Engineering. 5(40): (in press).

Getsov, L.B., Melnikov, B.E., Semenov, A.S. 2002. Criteria of choice of thermo-visco-plastic models in stress-strain state analysis of structures, in Proc. of the 1st conf. of users of programs from CAD-FEM GmbH, Moscow, 340-352.

Getsov, L.B., Rybnikov, A.I., Semenov, A.S. 2009. Thermal fatigue strength of heat-resistant alloys. Thermal Engineering. 56 (5), pp. 412-420. http://dx.doi.org/10.1134/S0040601509050103

FE program PANTOCRATOR. 2013. Available from: . [1 July 2013].

Izotov, I.N., Kuznetsov, N.P., Melnikov, B.E., Mityukov, A.G., Musienko, A.Y., Semenov, A.S. 2001. Modification of the multisurface theory of plasticity with one surface. Comparison with experimental data, Proceedings of SPIE - The International Society for Optical Engineering, 4348: p. 390-397.

Jirasek, M., Bazant, Z.P. Inelastic analysis of structures. 2001.

Kadashevich, Yu.I., Pomytkin, S.P. 2013. Endochronic theory of plasticity generalizing Sanders-Klyushnikov theory, Magazine of Civil Engineering 1(36): 82-86. http://dx.doi.org/10.5862/MCE.36.10

Kalinin A.L. 2013. Application of modified yield criteria for calculation of safe pressures on the subgrade soil]. Magazine of Civil Engineering. No.4(39): pp. 35–45 (in Russian) http://dx.doi.org/10.5862/MCE.39.4

Khan, A.S., Huang, S. 1995. Continuum theory of plasticity. Wiley & Sons Australia, Ltd. 1995. 440 p.

Kolarov, D., Baltov, A., Boncheva, N. 1979. Mechanika plasticheskikh sred. Mir. 1979. 302p. (in Russian).

Lemaitre, J. (ed.) 2001, Handbook of Materials Behavior Models. Ed. Academic Press, 2001, 900 p.

Melnikov, B.E., Semenov, A.S. 1995. Strategy of multimodel analysis of elastic-plastic stress-strain state, in Proc. Int. Conf. on Comp. in Civil and Build. Eng. Berlin, 1073-1079.

Melnikov, B.E., Semenov, A.S. Multimodel analysis as strategy of reliable description of elastic-plastic deformation processes, in D.R.J. Owen, et al. (Eds.). Proc. IV Int. Conf. on Computational Plasticity. Fundamentals and Applications (COMPLAS IV). Pineridge Press. 1995. 181-189.

Melnikov, B.E., Semenov, A.S. 1996. Creation and application of hierarchical sequence of material models for numerical analysis of elasto-plastic structures. ZAMM. Zeitschrift fur Angewandte Mathematik und Mechanik, 76 (SUPPL. 2), pp. 615-616.

Novozhilov, V.V. 1964. O slozhnom nagruzhenii i pezspektivakh fenomenologicheskogo podkhoda k issledovaniyu mikronaprazhenii, Prikl. Mat. i Mech. 28(3): 393-400. (in Russian).

Ottosen, N.S. 1979. Nonlinear kinematic hardening under Non-Proportional Loading. Risø National Laboratory, DK-4000 Roskilde, Denmark.

Prager, W. 1949. Recent developments in the mathematical theory of plasticity, Journal of Applied Physics, 20(3): 235-241. http://dx.doi.org/10.1063/1.1698348

Semenov, A.S., Melnikov, B.E. 1998. Multimodel analysis of the elasto-plastic and elasto-visco-plastic deformation processes in materials and structures, in Proc. Int. Conf. Low Cycle Fatigue and Elasto-Plastic Behavior of Materials, Garmisch-Partenkirchen, 659-664.

Semenov, A.S. 1996. Improvement of the research methods of thermo-elasto-plastic deformation processes on the base of multimodel analysis and the exact integration of constitutive equations. Ph.D. thesis. St.-Petersburg. 194 p.

Semenov, A.S. 2003. PANTOCRATOR – finite-element program specialized on the solution of non-linear problems of solid body mechanics, in Proc. of 5th Int. Conf. Sci. and Eng. Problems of Reliability and Service Life of Structures and methods of their decision, St.-Petersburg, 466-480.

Semenov, A.S., Melnikov, B.E., Gorokhov, M.Y. 2005. About the causes of cyclical instability at computations of large elasto-plastic strains. Proceedings of SPIE - The International Society for Optical Engineering, 5831, art. no. 25, pp. 167-173.

Semenov, A.S., Melnikov, B.E., Gorokhov, M.Yu., Ulbricht, V. 2007. Prevention of cyclic instability at the modeling of elasto-plastic deformation at large strains under proportional and non-proportional loading. Proceedings of SPIE - The International Society for Optical Engineering, 6597, art. no. 659710.

Szabo, L. 1984. Comparison of some plasticity theories by means of the finite element method. Periodica Polytechnica, Mechanical Engineering, 28(2-3): 153-161.

Tanaka, E., Murakami, S., Ooka, M. 1985. Effects of strain path shapes on non-proportional cyclic plasticity, J. Mech. Phys. Solids. 33: 559-575. http://dx.doi.org/10.1016/0022-5096(85)90003-1

Vasin, R.A. 1990. Constitutive equations of plasticity theory, Adv. Sci. and Eng. Solid body mechanics. 21: 3-75.

Zyczkowski, M. 1981. Combined Loadings in the Theory of Plasticity. PWN-Polish Scientific Publishers, Warszawa. 714 p.




DOI: 10.7250/iscconstrs.2014.17

Refbacks

  • There are currently no refbacks.