Engineering Transactions, 40, 3, pp. 363-374, 1992

Effects of Thermomechanical Couplimg Op the Stress State During Incremental Loading

T. Niezgoda
Military Technical Academy, Warszawa
Poland

In the paper ah FEM algorithm for solving coupled thermoplasticity problems is presented. Theoretical considerations arc followed by a numerical example in which the influence of the temperature field coupled with the plastic deformation field on the stress state is studied.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

D.H.ALLEN and W.E.HAISLER, A theory for analysis of thermoplastic materials, Camp. Struct., 13, 129-135, 1981.

K.J.BATHIE, Finite element procedu.res in engineering analysis, Prentice-Hall, Inc. Englewood Cliffs, New Jersey 1982.

U.BLIX, Zur Berechnung der Einschnürung von Zugstäben unter Berücksichtigung thermischer Einflüsse mit Hilfe der Finite-Element-Methode, Mitteilungen aus dem Institut für Mechanik, 40, Dezember 1983.

C.A.BREBBIA, Finite element systems, A Handbook - Camp. Mech. Centre, Southampton 1982.

L.DEMBIŃSKI and T.NIEZGODA, Program to determine nonstationary temperature fields in power appliances with material nonlinearity [in Polish], Biul. WAT, 12, Warszawa 1988.

S.DOBROCIŃSKI, Selected problems in the uncoupled thermoelasticily [in Polish], Biul. WAT, Warszawa 1979.

S.DOBROCIŃSKI and H.WACEWICZ, Numerical calculations of thermal stresses due to internal/ friction in plane 8tress [in Polish], VIII Konf, M.K.M., Jadwisin 1987.

M.DRYJA, J. and M.JANKOWSCY, Survey of numerical methods and algorithms. Part 2 [in Polish], WNT, Warszawa 1982.

Z.GABRYSZEWSKI and W.SRÓDKA, Application of temperature-coupled strain to assess the energy dissipation and the yield stresses [in Polish], Mech. Teor. i Stos., 19, 1981.

H.GHONEIM, Coupled thermoviscoplasticity equations will, temperature dependent material properties, J. Thermal Stress, 2, 1991.

M.S.J.HASIIMI and M.M.HAQUE, High strain rate properties of an aluminium alloy and high purity copper at room temperature, Report, Dept. of City Polytechnic, Sheffield, England, 1987.

J. and M.JANKOWSCY, Survey of numerical methods and algorithms, Part 1 [in Polish], WNT, Warszawa 1981.

В.Г.КРНАУГОВ, Связанные задачн термо-вязко-улругостн, Наукова Думка, Киев 1982.

M.KLEIBER, Computation coupled non-associative thermoplasticity, Comp. Meth. Appl. Mech. Eng. 00, 943-967, 1991.

M.KLEIBER, Finite element method in nonlinear continuum mechanics [in Polish], PWN, Warszawa 1985.

M.KLEIBER and T.NIEZGODA, Numerical analysis of thermo-elastic-plastic problems, Rozpr. lnżyn., 36, 4, pp.645-660, 1988.

J.KLEPACZKO, Thermomechanical couplings in metals [in Polish], Prace IPPT, 11, 1978.

Z.MRÓZ and B.RANIECKI, On the uniqueness problem in coupled thermoplasticity, Int. J. Engng. Sci., 14, pp.211-221, 1976.

T.NOJIMA, Plastic instability of uniaxial tensile test in rate sensitive materials, Paper presented at 3rd Conf. Mech. Prop. High Rates of Strain, Oxford 1984.

W.NOWACKI, Developments in elasticity [in Polish], PWN, Warszawa 1986.

P.WRIGGERS, C.MIEHE, M.KLEIBER and J.C.SIMO, On the coupled thermomechanical treatment of necking problems via finite element methods, Int. J. Numer. Methods Engng., 33, 869-883, 1992.

O.C.ZIENKIEWICZ, The finite element method, McGraw-Hill Book Company (UK) Limited, London 1977.