It is shown by operational method that the boundary value problem of the theory of elasticity related to stresses, which can be reduced to three strains compatibility equations and to three equilibrium equations, in fact is of sixth order. Hence, it is not required to formulate additional boundary conditions.
Compatibility Equations in the Theory of Elasticity
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 2001; Revised October 2002. Associate Editor: R. Ohayon.
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Andrianov , I. V., and Awrejcewicz , J. (April 1, 2003). "Compatibility Equations in the Theory of Elasticity ." ASME. J. Vib. Acoust. April 2003; 125(2): 244–245. https://doi.org/10.1115/1.1547681
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