Summary
A two-stage global-local approach is presented for predicting the collapse behavior of shells. The first stage is that of spatial discretization wherein the shell is discretized by using finite elements (or finite differences) which cover the entire region of the shell. In the second stage the vector of unknown nodal parameters is expressed as a linear combination of small number of global functions (or basis vectors). A Rayleigh-Ritz (or Bubnov-Galerkin) technique is then used to approximate the nonlinear equations of the discretized shell by a reduced system of nonlinear algebraic equations. For the case of loading applied by means of axial end shortening, a scalar function is introduced which measures the degree of nonlinearity of the structure. Also, a quantitative measure for the error of the reduced system of equations is proposed. The effectiveness of the proposed technique for predicting the collapse behavior of shells is demonstrated by means of a numerical example of the elastic collapse of a cylindrical shell with a rectangular cutout.
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© 1981 Springer-Verlag Berlin Heidelberg
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Noor, A.K., Peters, J.M. (1981). Elastic Collapse Analysis of Shells Via Global-Local Approach. In: Wunderlich, W., Stein, E., Bathe, KJ. (eds) Nonlinear Finite Element Analysis in Structural Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81589-8_10
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DOI: https://doi.org/10.1007/978-3-642-81589-8_10
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