The behavior of uniformly heated plates is considered for the situation where a patch is adhered over a region of the structure. A variational formulation results in a self-consistent set of equations and conditions, which governs the response of the system. The nonlinear problems are solved analytically, yielding exact results within the context of the mathematical model employed. A stability criterion is established for the class of problems considered, based on the second variation of the potential energy of the composite structure, and issues of stability are assessed in this context. Three non-dimensional parameters that characterize the response of the structure are identified. These are a `loading parameter', a `critical temperature' and a `critical membrane force'. Results of numerical simulations are presented for various loading and support conditions, patch lengths, and mechanical properties of the components. It is seen that bifurcation buckling, `asymptotic buckling', and `sling-shot buckling' are all possible scenarios for the class of structures of interest.
On Thermal Buckling of Patched Beam-PlatesInternational Journal of Solids and Structures
Publisher's StatementNOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Solids and Structures. 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 Solids and Structures, 37, 34, August 22, 2000; 10.1016/S0020-7683(99)00134-1
Citation InformationKarlsson, A. M., and Bottega, W. J., 2000, "On Thermal Buckling of Patched Beam-Plates," International Journal of Solids and Structures, 37(34) pp. 4655-4690.