Abstract
The development of shell theories has been marked by two competing approaches. There are on the one hand the „degenerated solid formulations“, which offer the advantages of great flexibility and easy numerical implementation. On the other hand there are the „stress resultant based formulations“ which comprise all classical shell and plate theories. Both approaches have been successfully applied in the analysis of thin elastic shells. However, when considering inelastic shells we are faced with certain difficulties. Because of historydependent inelastic deformations the stresses become history-dependent themselves and show complicated and a priori unknown behavior across the thickness of the shell. For example, during buckling of a shell structure we typically have plastic loading and elastic unloading in a single cross section. Because of restrictions of the constitutive models used in the „stress resultant based formulations“, the resulting theories are not able to capture effects involving simultaneous loading and unloading.
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© 2004 Springer-Verlag Berlin Heidelberg
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Hackl, K., Hoppe, U. (2004). Adaptive Wavelet-Algorithms for Inelastic Shells. In: Kienzler, R., Ott, I., Altenbach, H. (eds) Theories of Plates and Shells. Lecture Notes in Applied and Computational Mechanics, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39905-6_7
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DOI: https://doi.org/10.1007/978-3-540-39905-6_7
Publisher Name: Springer, Berlin, Heidelberg
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