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Post Buckling Behavior of Shells Using Total Lagrangian Method

Year 2017, Volume: 7 Issue: 3, 125 - 135, 30.09.2017

Abstract

In this study, the post-buckling behavior of shells is investigated using 9-noded isoparametric shell
elements. Total Lagrangian approach is used in the formulation and shell material is assumed to be linearly elastic.
Non-linear equilibrium equations are solved by arc-length method. Various examples were analyzed to obtain postbuckling behavior of shells



References

  • Bathe KJ, 1996. Finite Element Procedures. Prentice-Hall: Englewood Cliffs, New Jersey.
  • Crisfield MA, 1991. Non-linear Finite Element Analysis of Solids and Structures. Volume I, John Wiley and Sons, New York.
  • Felippa CA, Haugen B, 2005. A unified formulation of small strain co-rotational finite elements: I. Theory, Computer Methods in Applied Mechanics and Engineering, 194: 2285-2335.
  • Feng YT, Peric D, Owen DRJ, 1996. A New Criterion for Determination of Initial Loading Parameter in Arc-Length Methods. Computers and Structures, 58: 479-485.
  • McNeal RH, 1998. Perspective on Finite Elements for Shell Analysis. Finite Elements in Analysis and Design, 30:175–186.
  • Nuhoğlu A, 2005. Noktasal İterativ Yaklaşım ile Kablolu ve Kafes Sistemlerin Geometrik Nonlineer Analizi. Teknik Dergi, 16(76): 3425-3443.
  • Parente E, Vaz LE, 2003. On Evaluation of Shape Sensitivities of Non-Linear Critical Loads. International Journal for Numerical Methods in Engineering, 56(6): 809-846.
  • Polat C, 2006. Geometrik Bakımdan Lineer Olmayan Kabuk Yapıların Statik Ve Dinamik Davranışı. Doktora Tezi, Elazığ.
  • Polat C, Calayır Y, 2010. Nonlinear Static and Dynamic Analysis of Shells of Revolution. Mechanics Research Communications, 37(2): 205-209.
  • Polat C, Ulucan ZÇ, 2007. Geometrically Non-linear Analysis of Axisymmetric Plates and Shells. F. Ü. International Journal of Science & Technology, 2 (1): 33-40.
  • Polat C, Calayır Y, 2007. Dikdörtgen Plakların Geometrik Bakımdan Lineer Olmayan Statik Analizi. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (3): 357-362.
  • Polat C, Calayır Y, 2007. Lineer Olmayan Yapı Sistemlerinin Analizi İçin Yay-Boyu Metodu. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (4): 525-530.
  • Reddy JN, 1997. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. 2nd edition, CRC Press, New York.
  • Souza NEA, Feng YT, 1999. On the Determination of the Path Direction for Arc-Length Methods in the Presence of Bifurcations and `Snap-Backs'. Computer Methods in Applied Mechanics and Engineering, 179: 81-89.
  • Zienkiewicz OC, Taylor RL, 2000. The finite element method: solid mechanics. Vol. 2, Butterworth-heinemann.

Toplam Lagrange Yöntemi ile Kabukların Burkulma Ötesi Analizi

Year 2017, Volume: 7 Issue: 3, 125 - 135, 30.09.2017

Abstract

Bu çalışmada, 9-düğümlü izoparametrik kabuk eleman kullanılarak kabukların burkulma ötesi davranışı
incelenmektedir. Formülasyonda toplam Lagrange yaklaşımı esas alınmakta ve malzeme lineer elastik kabul
edilmektedir. Lineer olmayan denge denklemleri yay-boyu metodu (arc-length method) ile çözülmektedir. Değişik
nümerik örnekler çözülerek kabukların burkulma ötesi davranışı elde edilmiştir


References

  • Bathe KJ, 1996. Finite Element Procedures. Prentice-Hall: Englewood Cliffs, New Jersey.
  • Crisfield MA, 1991. Non-linear Finite Element Analysis of Solids and Structures. Volume I, John Wiley and Sons, New York.
  • Felippa CA, Haugen B, 2005. A unified formulation of small strain co-rotational finite elements: I. Theory, Computer Methods in Applied Mechanics and Engineering, 194: 2285-2335.
  • Feng YT, Peric D, Owen DRJ, 1996. A New Criterion for Determination of Initial Loading Parameter in Arc-Length Methods. Computers and Structures, 58: 479-485.
  • McNeal RH, 1998. Perspective on Finite Elements for Shell Analysis. Finite Elements in Analysis and Design, 30:175–186.
  • Nuhoğlu A, 2005. Noktasal İterativ Yaklaşım ile Kablolu ve Kafes Sistemlerin Geometrik Nonlineer Analizi. Teknik Dergi, 16(76): 3425-3443.
  • Parente E, Vaz LE, 2003. On Evaluation of Shape Sensitivities of Non-Linear Critical Loads. International Journal for Numerical Methods in Engineering, 56(6): 809-846.
  • Polat C, 2006. Geometrik Bakımdan Lineer Olmayan Kabuk Yapıların Statik Ve Dinamik Davranışı. Doktora Tezi, Elazığ.
  • Polat C, Calayır Y, 2010. Nonlinear Static and Dynamic Analysis of Shells of Revolution. Mechanics Research Communications, 37(2): 205-209.
  • Polat C, Ulucan ZÇ, 2007. Geometrically Non-linear Analysis of Axisymmetric Plates and Shells. F. Ü. International Journal of Science & Technology, 2 (1): 33-40.
  • Polat C, Calayır Y, 2007. Dikdörtgen Plakların Geometrik Bakımdan Lineer Olmayan Statik Analizi. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (3): 357-362.
  • Polat C, Calayır Y, 2007. Lineer Olmayan Yapı Sistemlerinin Analizi İçin Yay-Boyu Metodu. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (4): 525-530.
  • Reddy JN, 1997. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. 2nd edition, CRC Press, New York.
  • Souza NEA, Feng YT, 1999. On the Determination of the Path Direction for Arc-Length Methods in the Presence of Bifurcations and `Snap-Backs'. Computer Methods in Applied Mechanics and Engineering, 179: 81-89.
  • Zienkiewicz OC, Taylor RL, 2000. The finite element method: solid mechanics. Vol. 2, Butterworth-heinemann.
There are 15 citations in total.

Details

Primary Language Turkish
Journal Section İnşaat Mühendisliği / Civil Engineering
Authors

Cengiz Polat This is me

Yusuf Calayır This is me

Publication Date September 30, 2017
Submission Date March 24, 2017
Acceptance Date May 19, 2017
Published in Issue Year 2017 Volume: 7 Issue: 3

Cite

APA Polat, C., & Calayır, Y. (2017). Toplam Lagrange Yöntemi ile Kabukların Burkulma Ötesi Analizi. Journal of the Institute of Science and Technology, 7(3), 125-135.
AMA Polat C, Calayır Y. Toplam Lagrange Yöntemi ile Kabukların Burkulma Ötesi Analizi. J. Inst. Sci. and Tech. September 2017;7(3):125-135.
Chicago Polat, Cengiz, and Yusuf Calayır. “Toplam Lagrange Yöntemi Ile Kabukların Burkulma Ötesi Analizi”. Journal of the Institute of Science and Technology 7, no. 3 (September 2017): 125-35.
EndNote Polat C, Calayır Y (September 1, 2017) Toplam Lagrange Yöntemi ile Kabukların Burkulma Ötesi Analizi. Journal of the Institute of Science and Technology 7 3 125–135.
IEEE C. Polat and Y. Calayır, “Toplam Lagrange Yöntemi ile Kabukların Burkulma Ötesi Analizi”, J. Inst. Sci. and Tech., vol. 7, no. 3, pp. 125–135, 2017.
ISNAD Polat, Cengiz - Calayır, Yusuf. “Toplam Lagrange Yöntemi Ile Kabukların Burkulma Ötesi Analizi”. Journal of the Institute of Science and Technology 7/3 (September 2017), 125-135.
JAMA Polat C, Calayır Y. Toplam Lagrange Yöntemi ile Kabukların Burkulma Ötesi Analizi. J. Inst. Sci. and Tech. 2017;7:125–135.
MLA Polat, Cengiz and Yusuf Calayır. “Toplam Lagrange Yöntemi Ile Kabukların Burkulma Ötesi Analizi”. Journal of the Institute of Science and Technology, vol. 7, no. 3, 2017, pp. 125-3.
Vancouver Polat C, Calayır Y. Toplam Lagrange Yöntemi ile Kabukların Burkulma Ötesi Analizi. J. Inst. Sci. and Tech. 2017;7(3):125-3.