Abstract
A method is proposed to construct solutions to differential elastic equations in stresses (Beltrami compatibility equations and equilibrium equations). The method is based on potential theory and allows us to solve efficiently boundary-value problems of elastic theory. As an example, the second boundary-value problem for an elastic half-space is considered
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Borodachev, N.M. Construction of Exact Solutions to Three-Dimensional Elastic Problems in Stresses. International Applied Mechanics 37, 762–768 (2001). https://doi.org/10.1023/A:1012459123490
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DOI: https://doi.org/10.1023/A:1012459123490