The fluctuation of temperature leads to the changes of physical-mechanical properties of clayey soils. In some practical projects such as landfills, the compacted clay liner is usually subjected to a non-isothermal distribution state. For one-dimensional nonlinear consolidation process of saturated clay under non-isothermal distribution condition, the general analytical solutions considering time-dependent loading are derived for the first time, where the methods of algebraic transformation and separation variable are used. Moreover, two forms of boundary conditions are included according to engineering practice. Referring to the proposed general analytical solutions, the expressions for the analytical solutions under instantaneous loading pattern and single-stage linear loading pattern are developed. Besides, the correctness of the presented analytical solutions is validated by comparing with the existing analytical solutions and finite difference solutions. Based on the proposed analytical solutions, the influence of temperature gradient, final loading and loading time on the consolidation behaviors is analyzed. It is found that the increase in temperature gradient accelerates the consolidation rate, and the average volume compressibility coefficient decreases by 65.4% when final loading increases from 50 to 500 kPa. In conclusion, the analytical solutions proposed in this study are more comprehensive and can be applied in different engineering cases.

中文翻译：

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非等温分布条件下饱和黏土一维非线性固结的一般解析解

温度的波动导致黏性土物理力学性质的变化。在垃圾填埋场等一些实际工程中，压实粘土衬垫通常处于非等温分布状态。针对饱和黏土在非等温分布条件下的一维非线性固结过程，采用代数变换和分离变量的方法，首次推导了考虑时变载荷的一般解析解。此外，根据工程实践，包括两种形式的边界条件。参考所提出的一般解析解，建立了瞬时加载模式和单级线性加载模式下解析解的表达式。除了，通过与现有解析解和有限差分解的比较，验证了所提出解析解的正确性。基于所提出的解析解，分析了温度梯度、最终加载和加载时间对固结行为的影响。发现随着温度梯度的增加，固结速率加快，当最终荷载从50 kPa增加到500 kPa时，平均体积压缩系数降低了65.4%。总之，本研究提出的解析解更加全面，可以应用于不同的工程案例。分析了最终加载和加载时间对固结行为的影响。发现随着温度梯度的增加，固结速率加快，当最终荷载从50 kPa增加到500 kPa时，平均体积压缩系数降低了65.4%。总之，本研究提出的解析解更加全面，可以应用于不同的工程案例。分析了最终加载和加载时间对固结行为的影响。发现随着温度梯度的增加，固结速率加快，当最终荷载从50 kPa增加到500 kPa时，平均体积压缩系数降低了65.4%。总之，本研究提出的解析解更加全面，可以应用于不同的工程案例。