Although solid backfilling materials are featured with obvious nonlinear stress-strain properties, for a long time, they have been usually simplified as linear elastic materials for approximate calculation in mechanical analysis, so it is difficult to accurately reflect their deformation process. Based on test results of solid backfilling materials’ compaction characteristics, this paper provides a solution method to generate their elastic foundation coefficient. One multiparameter elastic foundation has been used to reflect stress-strain characteristics of solid backfilling material. In addition, the paper establishes a thin plate on a nonlinear elastic foundation model by adopting semianalytical and seminumerical method and obtains the relational expression between roof deflection, roof stress, and backfilling material’s compressive deformation. In combination with geological conditions in a specific mine, the paper probes into what influence both backfilling material’s particle size and the initial compaction force that the backfilling material bears could exert on roof subsidence and stress. Finally, the proposed model has been verified with measured data from industrial tests.

中文翻译：

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固体充填开采工作面上覆地层运动非线性弹性基础板模型研究

虽然实心回填材料具有明显的非线性应力应变特性，但长期以来，在力学分析中通常将其简化为线弹性材料进行近似计算，难以准确反映其变形过程。本文根据实心回填材料的压实特性试验结果，提出了一种计算其弹性地基系数的求解方法。一种多参数弹性基础已被用来反映固体回填材料的应力应变特性。此外，本文采用半解析半数值方法在非线性弹性地基模型上建立薄板，得到顶板挠度、顶板应力与回填材料压缩变形之间的关系式。结合特定矿山的地质条件，本文探讨了回填材料的粒径和回填材料所承受的初始压实力对顶板下沉和应力产生的影响。最后，所提出的模型已经通过工业测试的测量数据进行了验证。