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Shape optimization of shells and locking
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DOI：10.1016/j.compstruc.2004.04.017.png)
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In the present paper, the significance of a reliable finite element formulation in the optimization process is discussed. First, analytical sensitivities for a shell element based on the DSG concept are derived. Due to its simplicity, efficiency and the possibility to compute sensitivities analytically, the DSG method turns out to be perfectly well-suited for shape optimization. The effects of locking on shape optimization of shells are studied by numerical experiments using a standard displacement shell formulation and the DSG method. It is shown that locking phenomena may affect the optimum not only quantitatively, but also qualitatively. (C) 2004 Elsevier Ltd. All rights reserved.
Keyword:
shape optimization
Reissner-Mindlin shells
finite elements
DSG method
locking
sensitivity analysis
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