Simulations of thermal softening in large strain thermoplasticity

• Autorzy: Wcisło B.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with numerical simulations of the thermoplastic behaviour of isotropic materials undergoing large deformations. The attention is focused on the constitutive modelling of thermal softening understood here as a reduction of the plastic strength with increasing temperature. Different concepts of thermal softening embedded in the plasticity function are considered, in particular, the reduction of the total yield strength, its initial value or the hardening part. Moreover, apart from linear dependencies between temperature and the yield strength, the formulation involving function arc tangent is proposed. The analysed models are numerically tested in the finite element environment AceFEM using subroutines generated with the AceGen code generator. In particular, shear banding in an elongated rectangular plate with imperfection in plain strain conditions is investigated.

Słowa kluczowe

EN

large strains; thermoplasticity; thermal softening

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2016
• Tom: Vol. 64, iss. 4
• Strony: 563--572
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr.

Twórcy

autor

Wcisło B.

• Institute for Computational Civil Engineering Faculty of Civil Engineering Cracow University of Technology Warszawska 24, 31-155 Kraków, Poland

Bibliografia

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• 2. de Souza Neto E.A., Peric D., Owen D.R.J., Computational methods for plasticity. Theory and applications, John Wiley & Sons Ltd, Chichester, UK, 2008.
• 3. Holzapfel G.A., Nonlinear solid mechanics: A continuum approach for engineering, John Wiley & Sons Ltd, Chichester, 2000.
• 4. LeMonds J., Needleman A., Finite element analyses of shear localization in rate and temperature dependent solids, Mechanics of Materials, 5(4): 339–361, 1986, doi: 10.1016/0167- 6636(86)90039-6.
• 5. Simo J.C., Miehe C., Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation, Computer Methods in Applied Mechanics and Engineering, 98(1): 41–104, 1992, doi: 10.1016/0045-7825(92)90170-O.
• 6. Simo J.C., Numerical analysis and simulation of plasticity, [in:] Ciarlet P.G., Lions J.L. [Eds.], Handbook of numerical analysis. Numerical methods for solids, Part 3, Volume VI, pp. 183–499, Elsevier Science, Boca Raton, 1998.
• 7. Wcisło B., Pamin J., Local and non-local thermomechanical modeling of elastic-plastic materials undergoing large strains, International Journal for Numerical Methods in Engineering, 65, 2016 (in print), doi: 10.1002/nme.5280.
• 8. Wriggers P.A., Miehe C., Kleiber M., Simo J.C., On the coupled thermomechnical treatment of necking problems via finite element methods, International Journal for Numerical Methods in Engineering, 33(4): 869–883, 1992, doi: 10.1002/nme.1620330413.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).