Abstract Before this study, no analytical models had been made available for describing the behaviour of plane geostructures subjected to thermal and mechanical actions. This knowledge gap notably represented a limitation for investigations about the behaviour of so-called energy geostructures, which are subjected to the considered actions due to their geothermal heat exchanger and structural support roles. In this study, the first analytical model that allows describing the behaviour of plane geostructures subjected to thermal and mechanical actions is presented. This model extends Winkler’s solution to non-isothermal conditions for quantifying the effects of temperature variations, axial loads, transversal loads and bending moments applied to plane geostructures resting on an elastic soil mass. The model is applied to the analysis of an elementary unit represented by a single beam as well as to more complex plane geostructures using the superposition principle. The obtained results are compared with predictions deriving from more rigorous yet time-consuming numerical analyses, showing close agreement. This result makes the developed analytical model a useful tool for scientific and engineering purposes, paving the way for future developments in this scope.

中文翻译：

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将 Winkler 的解决方案扩展到非等温条件，以捕捉受热和机械作用影响的平面地质结构的行为

摘要 在这项研究之前，还没有可用的分析模型来描述平面地质结构在热力和机械作用下的行为。这种知识差距尤其代表了对所谓能源地质结构行为研究的限制，这些地质结构因其地热换热器和结构支撑作用而受到所考虑的行为的影响。在这项研究中，提出了第一个可以描述平面地质结构在热力和机械作用下的行为的分析模型。该模型将 Winkler 的解决方案扩展到非等温条件，用于量化温度变化、轴向载荷、横向载荷和弯矩的影响，这些影响应用于位于弹性土体上的平面地质结构。该模型应用于分析由单个梁表示的基本单元以及使用叠加原理的更复杂的平面地质结构。将获得的结果与从更严格但耗时的数值分析得出的预测进行比较，显示出非常一致的结果。这一结果使开发的分析模型成为用于科学和工程目的的有用工具，为该领域的未来发展铺平了道路。