Coupled and uncoupled variational formulations
Abstract
This chapter presents classical and unconventional variational principles. The Principle of Virtual Displacements (PVD), derived from Hamilton's principle, and Reissner's Mixed Variational Theorem (RMVT) are proposed and discussed in detail. Two alternative versions of RMVT in the pure mechanical case are also given. Finally, thermoelastic variational formulations within the framework of the PVD and RMVT, for both coupled and uncoupled thermoelasticity, are provided in various forms.
Keywords
Variational principles; Coupled thermoelasticity; Uncoupled thermoelasticity; RMVT; PVD
3.1 Classical variational principles
3.1.1 Hamilton's principle and principle of virtual ...
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