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<p>By using analytic solutions of two-dimensional problems of the theory of elasticity and thermoelasticity for a half plane constructed in the form of explicit functional dependences on the loads by the method of direct integration, we establish one-to-one correspondences between the force and thermal factors in order to guarantee targeted boundary displacements. In particular, we determine the relationship between the profiles of distribution of the thermal loads on the boundary responsible for the thermal expansion and the distribution of pressure loads promoting the displacements compensating, to a certain extent, the thermal influence. Examples of loads of this kind are also analyzed.</p>

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Ensuring Targeted Displacements of the Elastic Halfplane Boundary Under a Steady-State Temperature Field Using Force Loading

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • Yu. V. Tokovyy,
  • L. I. Postolaki

摘要

By using analytic solutions of two-dimensional problems of the theory of elasticity and thermoelasticity for a half plane constructed in the form of explicit functional dependences on the loads by the method of direct integration, we establish one-to-one correspondences between the force and thermal factors in order to guarantee targeted boundary displacements. In particular, we determine the relationship between the profiles of distribution of the thermal loads on the boundary responsible for the thermal expansion and the distribution of pressure loads promoting the displacements compensating, to a certain extent, the thermal influence. Examples of loads of this kind are also analyzed.