The article is devoted to numerical study of convergence of calculation results obtained on the basis of two nonlinear models of the theory of shells with thickness decrease. As models are considered nonlinear theory of thin shells, based on the hypotheses of the Kirchhoff-Chernykh and hypotheses type Tymoshenko, modified K.F. Chernykh for the case of hyperelastic rubber-like material. As an example, we consider the problem of axisymmetric conical compression and spherical shell by axial force. The convergence of results with decreasing thickness is disturbed in areas stability loss(buckling). Also happens when in the deformation process is violated the basic assumption of the theory of shells - the thickness is much smaller than radius of curvature (h < < R).
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10 March 2015
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)
22–28 September 2014
Rhodes, Greece
Research Article|
March 10 2015
Numerical study of convergence of nonlinear models of the theory of shells with thickness decrease Available to Purchase
Sergey A. Kabrits;
Sergey A. Kabrits
Saint Petersburg State University
, Department of Computational Methods in Continuum Mechanics, Universitetskii prospekt 35, 198504 St.Petersburg, Russia
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Eugeny P. Kolpak
Eugeny P. Kolpak
Saint Petersburg State University
, Department of Computational Methods in Continuum Mechanics, Universitetskii prospekt 35, 198504 St.Petersburg, Russia
Search for other works by this author on:
Sergey A. Kabrits
Saint Petersburg State University
, Department of Computational Methods in Continuum Mechanics, Universitetskii prospekt 35, 198504 St.Petersburg, Russia
Eugeny P. Kolpak
Saint Petersburg State University
, Department of Computational Methods in Continuum Mechanics, Universitetskii prospekt 35, 198504 St.Petersburg, Russia
AIP Conf. Proc. 1648, 300005 (2015)
Citation
Sergey A. Kabrits, Eugeny P. Kolpak; Numerical study of convergence of nonlinear models of the theory of shells with thickness decrease. AIP Conf. Proc. 10 March 2015; 1648 (1): 300005. https://doi.org/10.1063/1.4912547
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