力学与实践 ›› 2018, Vol. 40 ›› Issue (4): 392-397.DOI: 10.6052/1000-0879-17-421

• 应用研究 • 上一篇    下一篇

两平行圆柱热源作用下饱和土体热固结解析解1)

吴章俨2), 郑荣跃, 刘干斌, 薛传成, 周敏, 黄则浩   

  1. 宁波大学,浙江宁波 315211
  • 收稿日期:2017-12-15 出版日期:2018-08-08 发布日期:2018-09-11
  • 作者简介:2) 吴章俨,硕士研究生,主要从事多物理场土力学、软土地基处理方面的研究工作。E-mail:948047191@qq.com
  • 基金资助:
    1) 国家自然科学基金资助项目(51778303)

ANALYTICAL SOLUTION OF THERMAL CONSOLIDATION OF SATURATED SOILS WITH TWO PARALLEL CYLINDRICAL HEAT SOURCES1)

WU Zhangyan2), ZHENG Rongyue, LIU Ganbin, XUE Chuancheng, ZHOU Min, HUANG Zehao   

  1. Ningbo University, Ningbo 315211, Zhejiang, China
  • Received:2017-12-15 Online:2018-08-08 Published:2018-09-11

摘要: 基于应力平衡条件、渗流连续方程、能量守恒方程,考虑土颗粒和孔隙水热膨胀系数的不同,建立考虑热水力耦合的饱和土体三维热固结控制方程。利用傅里叶变换和拉普拉斯变换导出变换域上的控制方程,解得点热源在变换域和实数域上的解析解,再利用区域积分给出两平行圆柱形热源热固结土体温度、孔压、位移的解析解,并对其进行分析,发现径距比增大会导致两热源温度相互影响程度减弱,热固结系数减小会导致孔压和位移的峰值增大。

关键词: 平形圆柱热源|积分变换|热固结

Abstract: Based on the stress equilibrium equation, the seepage continuity equation and the energy conservation equation, with consideration of the effect of the thermal expansion coefficients between the soil particles and the pore water, a three-dimensional thermo-mechanical governing equation for saturated soil with consideration of the thermohydraulic coupling is established.Using the Fourier transform and the Laplace transform to derive the governing equations and obtain the solution in the transform domain, then to obtain the analytic solution of the point heat source in the real domain, as well as the analytic solution of the temperature, the pore pressure and the displacement of the thermally consolidated soil with two parallel cylindrical heat sources The results show that the increase of the span ratio will lead to a weakening of the interaction between the two heat sources. The decrease of the thermal consolidation coefficient will lead to the increase of the pore pressure and the displacement peak.

Key words: flat cylindrical heat source|integral transformation|thermal consolidation

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