CONSISTENT LINEARIZATION FOR THE EXACT STRESS UPDATE OF PRANDTL-REUSS NON-HARDENING ELASTOPLASTIC MODELS
This paper presents a consistent algorithm, which combines the advantages of the exact time integration of Prandtl–Reuss elastoplastic models and the quadratic asymptotic convergence of Newton–Raphson iteration strategies. The consistent modulus is evaluated by a full linearization of the exact stre...
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| Vydané v: | International journal for numerical methods in engineering Ročník 39; číslo 7; s. 1219 - 1235 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York
John Wiley & Sons, Ltd
15.04.1996
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| ISSN: | 0029-5981, 1097-0207 |
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| Abstract | This paper presents a consistent algorithm, which combines the advantages of the exact time integration of Prandtl–Reuss elastoplastic models and the quadratic asymptotic convergence of Newton–Raphson iteration strategies. The consistent modulus is evaluated by a full linearization of the exact stress update procedure. Numerical tests for a thin wall tube subjected to combined loads of tension and torsion are performed to illustrate the accuracy and efficiency of the consistently linearized exact stress update algorithm described in the paper. For comparison purpose numerical results of the radial return method are also given. |
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| AbstractList | This paper presents a consistent algorithm, which combines the advantages of the exact time integration of Prandtl-Reuss elastoplastic models and the quadratic asymptotic convergence of Newton-Raphson iteration strategies. The consistent modulus is evaluated by a full linearization of the exact stress update procedure. Numerical tests for a thin wall tube subjected to combined loads of tension and torsion are performed to illustrate the accuracy and efficiency of the consistently linearized exact stress update algorithm described in the paper. For comparison purpose numerical results of the radial return method are also given. |
| Author | PERIĆ, D. WEI, Z. OWEN, D. R. J. |
| Author_xml | – sequence: 1 givenname: Z. surname: WEI fullname: WEI, Z. organization: Department of Civil Engineering, University College of Swansea, Swansea SA2 8PP, Wales, U.K – sequence: 2 givenname: D. surname: PERIĆ fullname: PERIĆ, D. organization: Department of Civil Engineering, University College of Swansea, Swansea SA2 8PP, Wales, U.K – sequence: 3 givenname: D. R. J. surname: OWEN fullname: OWEN, D. R. J. organization: Department of Civil Engineering, University College of Swansea, Swansea SA2 8PP, Wales, U.K |
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| Cites_doi | 10.1016/0045-7949(87)90031-9 10.1016/0045-7825(85)90070-2 10.1016/0045-7825(92)90156-E 10.1115/1.3454568 10.1108/eb023559 10.1115/1.3167613 10.1002/nme.1620220310 10.1002/nme.1620370507 10.1016/0045-7825(92)90123-2 10.1002/nme.1620330505 10.1002/nme.1620300308 10.1002/nme.1620210902 10.1115/1.2929010 10.1002/nme.1620361503 10.1016/0045-7949(87)90026-5 |
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| References_xml | – reference: P. Gratacos, P. Montmitonnet and J. L. Chenot, 'An integration scheme for Prandtl-Reuss elastoplastic constitutive equations', Int. J. numer. methods eng., 33, 943-961 (1992). – reference: M. Ristinmaa and J. Tryding, 'Exact integration of constitutive equations in elastoplasticity', Int. J. numer. methods eng., 36, 2525-2544 (1993). – reference: P. J. Yoder and R. G. Whirley, 'On the numerical implementation of elastoplastic models', J. Appl. Mech., 51, 283-288 (1984). – reference: D. Perić, D. R. J. Owen and M. E. Honnor, 'A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues', Comput. Methods Appl. Mech. Eng., 94, 35-61 (1992). – reference: H. K. Hong, H. S. Lan and J. K. Liou, 'Study of integration strategy for thermal-elastic-plastic models', J. Press. Vessel Technol. ASME, 114, 39-45 (1992). – reference: J. C. Simo, 'Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory', Comput. Methods Appl. Mech. Eng., 99, 61-112 (1992). – reference: L. Szabo and A. Kovacs, 'Numerical implementation of Prager's kinematic hardening model in exactly integrated form for elasto-plastic analysis', Comput. Struct., 26, 815-822 (1987). – reference: J. C. Simo and R. L. Taylor, 'Consistent tangent operators for rate-independent elastoplasticity', Comput. Methods Appl. Mech. Eng., 48, 101-118 (1985). – reference: R. H. Dodds, 'Numerical techniques for plasticity computations in finite element analysis', Comput. Struct., 26, 767-779 (1987). – reference: D. R. J. Owen and E. Hinton, Finite Elements in Plasticity, McGraw-Hill, New York, 1980. – reference: J. C. Simo and R. L. Taylor, 'A return mapping algorithm for plane stress elastoplasticity', Int. J. numer. methods eng., 22, 649-670 (1986). – reference: M. Ortiz and E. P. Popov, 'Accuracy and stability of integration algorithms for elastoplastic constitutive relations', Int. J. numer. methods eng., 21, 1561-1576 (1985). – reference: A. Matzenmiller and R. L. Taylor, 'A return mapping algorithm for isotropic elasto-plasticity', Int. J. numer. methods eng., 37, 813-826 (1994). – reference: J. M. M. C. Marques, 'Stress computation in elastoplasticity', Eng. Comput., 1, 42-51 (1984). – reference: W. Wu, 'A unified numerical integration formula for the perfect plastic von Mises model', Int. J. numer. methods eng., 30, 491-504 (1990). – reference: R. D. Krieg and D. B. Krieg, 'Accuracies of numerical solution methods for the elastic-perfectly plastic model', J. Press. Vessel Technol. ASME, 99, 510-515 (1977). – year: 1985 – volume: 26 start-page: 815 year: 1987 end-page: 822 article-title: Numerical implementation of Prager's kinematic hardening model in exactly integrated form for elasto‐plastic analysis publication-title: Comput. 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| Snippet | This paper presents a consistent algorithm, which combines the advantages of the exact time integration of Prandtl–Reuss elastoplastic models and the quadratic... This paper presents a consistent algorithm, which combines the advantages of the exact time integration of Prandtl-Reuss elastoplastic models and the quadratic... |
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| StartPage | 1219 |
| SubjectTerms | consistent linearization finite elements numerical integration algorithms plasticity |
| Title | CONSISTENT LINEARIZATION FOR THE EXACT STRESS UPDATE OF PRANDTL-REUSS NON-HARDENING ELASTOPLASTIC MODELS |
| URI | https://api.istex.fr/ark:/67375/WNG-F19CRD2G-H/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1002%2F%28SICI%291097-0207%2819960415%2939%3A7%3C1219%3A%3AAID-NME901%3E3.0.CO%3B2-7 https://www.proquest.com/docview/26084736 |
| Volume | 39 |
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