Variational principles are widely applied to solving the problems of stability theory for thin-walled structures. They deliver sufficiently accurate results using rather small set of co-ordinate functions due to the integral nature of critical loads for deformed systems. This feature contributed to detailed and consistent development of variational principles in stability theory of thin-walled structures. Following this trend variational principles of the TLTDBS for compressible and incompressible bodies are developed and proved in this section in the general form for different types of solids. In doing so, results on stability criteria and problem statements in general form, obtained in Sects.10,11 , will be substantially used.
KeywordsVariational Principle Mixed Boundary Condition Incompressibility Condition Displacement Boundary Condition Compressible Body
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