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Arc-length algorithm efficiency in the analysis of thermally loaded multilayered shells

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Języki publikacji
EN
Abstrakty
EN
This paper concerns the efficiency study of the arc-length algorithm in the geometrically non-linear analysis of thermally loaded multilayered shells. The thermal loading is considered as the one-way thermo-mechanical coupling effect. Two implementations of the arc-length method are examined: the path-following technique available in NX-Nastran and the RiksWempner-Ramm algorithm adopted in the authors’ computer code SHLTH. It is shown that the appropriate unloading condition in each step of the analysis plays the crucial role in obtaining a proper solution. The algorithm offered in NX-Nastran tends to fail, whereas the authors’ code enables to find the solution in required temperature range.
Rocznik
Strony
147--156
Opis fizyczny
Bibliogr., 22 poz., rys., wykr.
Twórcy
autor
  • Gdańsk University of Technology Department of Structural Mechanics Narutowicza 11/12, 80-233 Gdańsk, Poland
autor
  • Gdańsk University of Technology Department of Structural Mechanics Narutowicza 11/12, 80-233 Gdańsk, Poland
Bibliografia
  • 1. Waszczyszyn Z., Numerical problems of stability analysis of elastic structures, Computers & Structures, 17, 1, 13–24, 1983.
  • 2. Huang B., Atluri S., A simple method to follow post-buckling paths in finite element analysis, Computeres & Structures, 57, 3, 477–489, 1995.
  • 3. Wagner W., Nonlinear stability analysis of shells with the finite element method, [in:] CISM Courses and Lectures, Rammerstorfer F. [Ed.], 91–130, Springer, Wien, 1992.
  • 4. Walukiewicz H., Chróścielewski J., On stability of discretized nonlinear models of shells, 4th International Conference: Modern building materials, structures and techniques, Vilnius, Lithuania, 1995.
  • 5. Sabik A., Kreja I., Femap&NX-Nastran package (ver. 7.0) effectiveness in the non-linear analysis of shells subjected to thermal loading [in Polish: Efektywność pakietu Femap&NXNastran (ver. 7.0) w nieliniowej analizie powłok obciążonych temperaturą], 12th ScientificTechnical Conference Computational Techniques in Engineering, Słok, Poland, 2011.
  • 6. Kreja I., Geometrically non-linear analysis of layered composite plates and shells, Monograph Series, 83, Wydawnictwo Politechniki Gdańskiej, Gdańsk, 2007.
  • 7. Kreja I., A literature review on computational models for laminated composite and sandwich panels, Central European Journal of Engineering, 1, 59–80, 2011.
  • 8. Jones R., Mechanics of composite materials, 2nd ed., Taylor&Francis, London, 1999.
  • 9. Reddy J., Mechanics of laminated composite plates and shells. Theory and analysis, 2nd ed, CRC Press, Philadelphia, 2004.
  • 10. Carrera E., Ciuffreda A., A unified formulation to assess theories of multilayered plates for various bending problems, Composite Structures, 69, 271–293, 2005.
  • 11. Rohwer K., Friedrichs F., Wehmeyer C., Analyzing laminated structures from fibrereinforced material – an assessment, Technische Mechanik, 25, 59–79, 2005.
  • 12. Sabik A., Kreja I., Linear analysis of laminated multilayered plates with the application of zig-zag function, Archives of Civil and Mechanical Engineering, 8, 61–72, 2008.
  • 13. Sabik A., Kreja I., The analysis of laminated plates with the use of equivalent single layer models [in Polish: Analiza płyt laminowanych z zastosowaniem zastępczych modeli jednowarstwowych], Acta Mechanica et Automatica, 2, 63–68, 2008.
  • 14. Sabik A., The stability study of thermally loaded multilayered shells [in Polish: Analiza stateczności powłok warstwowych obciążonych termicznie], Monograph Series, 126, Wydawnictwo Politechniki Gdańskiej, Gdańsk 2012.
  • 15. Vlachoutsis S., Shear correction factors for plates and shells, International Journal for Numerical Methods in Engineering, 33, 1537–1552, 1992.
  • 16. Sabik A., Kreja I., Large thermo-elastic displacement and stability FEM analysis of multilayered plates and shells, Thin-Walled Structures, 71, 119–133, 2013.
  • 17. Feng Y.T., Perić D., Owen D.R.J., A new criterion for determination of initial loading parameter in arc-length methods, Computers and Structures, 58, 479–485, 1996.
  • 18. Parente E., Holanda A., Afonso da Silva S., Tracing nonlinear equilibrium paths of structures subjected to thermal loading, Computational Mechanics, 38, 505–520, 2006. 156 A. SABIK, I. KREJA
  • 19. Huang N., Tauchert T., Large deflections of laminated cylindrical and doubly-curved panels under thermal loading, Computers and Structures, 41, 303–312, 1991.
  • 20. Oh I., Lee I., Thermal snapping and vibration characteristics of cylindrical composite panels using layerwise theory, Composite Structures, 51, 49–61, 2001.
  • 21. Sabik A., Kreja I., Imperfection sensitivity of multilayered composite shells, [in:] Shell Structures: Theory and Applications, W. Pietraszkiewicz, I. Kreja [Eds.], Vol. 2, 137–140, CRC Press/Balkema, London, 2010.
  • 22. Sabik A., Kreja I., Stability analysis of multilayered composite shells with cut-outs, Archives of Civil and Mechanical Engineering, 11, 195–207, 2011.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-661a7af2-2f2c-4e7b-91e0-8bf34d453b5c
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