Abstract
A nonlinear deformation model for a shell with rigid transverse fibers is proposed. A complete system of incremental equations, a variational equation equivalent to this system, and a particular equation of virtual work are formulated. Numerical analysis of the nonlinear deformation of a spherical dome is performed using the complete equation.
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References
L. I. Shkutin, “Generalized Cosserat models for analysis of finite deformations of thin bodies,”Prikl. Mekh. Tekh. Fiz.,37, No. 3, 120–132 (1996).
L. I. Shkutin,Mechanics of Deformation of Flexible Bodies [in Russian], Nauka, Novosibirsk (1988).
L. G. Golovina and L. I. Shkutin, “Double approximation of finite deformations of a shell,”Prikl. Mekh. Tekh. Fiz.,37, No. 3, 145–150 (1996).
Additional information
Institute of Computer Modeling, Siberian Division, Russian Academy of Sciences, Krasnoyarsk 660036. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 202–207, September–October, 1999.
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Shkutin, L.I. Incremental deformation model for a shell. J Appl Mech Tech Phys 40, 957–961 (1999). https://doi.org/10.1007/BF02468483
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DOI: https://doi.org/10.1007/BF02468483