Presentation of a general 3D solution of equations of elasticity theory for a wide class of orthotropic materials https://doi.org/10.33108/visnyk_tntu2019.03.049
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Abstract
A mathematical model of the statically loaded three-dimensional orthotropic body was used.
The broadest class of orthotropic materials in the Cartesian coordinate system is considered. We find a general
representation of the solution of equilibrium equations in displacements for orthotropic materials. The expression
of displacements, strains and stresses is obtained through the introduced displacement function, which satisfies
the sixth-order equation for partial derivatives.
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