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The time-dependent generalized membrane shell model and its numerical computation
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DOI：10.1016/j.cma.2018.10.001.png)
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Abstract
En 中文
In this paper, we discuss the time-dependent generalized membrane shell model, which has not been addressed numerically in literature. We show that the solution of this model exists and is unique. We first provide a numerical method for the time-dependent generalized membrane shell. Concretely, we semi-discretize the space variable and fully discretize the problem using time discretization by the Newmark scheme. The corresponding numerical analyses of existence, uniqueness, stability and convergence with a priori error estimates are given. Finally, we present numerical experiments with a portion of the conical shell and a portion of the hyperbolic shell to verify theoretical convergence results and demonstrate the effectiveness of the numerical scheme. (C) 2018 Elsevier B.V. All rights reserved.
Keywords:
Time-dependent
Generalized membrane shell
Finite element method
Newmark scheme
Hyperbolic shell
Conical shell
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