International Journal of Non-Linear Mechanics
The behavior of patched beam-plates during uniform cooling is considered. A non-linear formulation is adopted and the problems of interest are solved analytically yielding exact results within the context of the mathematical model employed. Three non-dimensional parameters corresponding to (i) a loading parameter, (ii) a critical temperature and (iii) a critical membrane force, are seen to characterize the response of the composite structure. Stability is considered and critical behavior includes bifurcation and asymptotic buckling, non-trivial “groundstates”, and demarcation and transition in deflection direction. Extensive numerical simulations based on analytical solutions are performed. Results are presented for various loading and support conditions and structural parameters, and reveal a rich and complex behavior and the factors that control such behavior.
Karlsson, A. M., and Bottega, W. J., 2000, "On the Behavior of a Class of Patched Plates during Cooling," International Journal of Non-Linear Mechanics, 35(3) pp. 543-566.
NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Non-Linear Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Non-Linear Mechanics, 35, 3, May 2000; 10.1016/S0020-7462(99)00040-2