Abstract
The bifurcation problem of thin walled structures in contact with rigid surfaces is formulated by adopting the multiple scales asymptotic technique. The general theory developed in this paper is very useful for the bifurcation analysis of waviness instabilities in the sheet metal forming. The formulation is presented in a full Lagrangian formulation. Through this general formulation, the bifurcation functional is derived within an error of O(E4) (E: shell’s thickness parameter). This functional can be used in numerical solutions to sheet metal forming instability problem.
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Kwon, Y., Triantafyllidis, N. General asymptotic formulation for the bifurcation problem of thin walled structures in contact with rigid surfaces. KSME International Journal 14, 48–56 (2000). https://doi.org/10.1007/BF03184770
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DOI: https://doi.org/10.1007/BF03184770