Adjoint Variational Principles for Coupled Thermomechanical Systems and Application to Dynamic Stability Problems.
WATERVLIET ARSENAL N Y
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In conjunction with the differential equations of coupled thermoelasticity with initial stresses, adjoint variational principles have been formulated by introducing a set of adjoint differential equations. The natural and imposed boundary conditions for the original and the adjoint problems are obtained also with respect to each variational principle. These results can be used as basis for the finite element or other Ritz type of approximations to solve dynamic stability problems with nonconservative loads. Author-PL