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- W4378188082 abstract "We develop a procedure for the integration of balance equations in terms of displacements for orthotropic bodies with certain restrictions imposed on the elastic moduli of the material. The components of the vector of elastic displacements are expressed in terms of two functions, one of which satisfies the equation of the second order, while the second one satisfies a fourth-order equation. An algorithm is proposed for solving boundary-value problems for an orthotropic rectangular prism. The proposed algorithm is based on the separation of the principal and perturbed stress-strain states, the use of complete systems of eigenfunctions that are not orthogonal, and the minimization of a generalized quadratic form constructed to satisfy boundary conditions on the end face of the prism. The displacements and stresses are found for a long orthotropic rectangular prism subjected to the action of a local normal force load upon the end face." @default.
- W4378188082 created "2023-05-26" @default.
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- W4378188082 date "2023-05-26" @default.
- W4378188082 modified "2023-09-30" @default.
- W4378188082 title "Solutions of Three-Dimensional Problems of the Theory of Elasticity for Orthotropic Solids" @default.
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- W4378188082 doi "https://doi.org/10.1007/s10958-023-06486-y" @default.
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