Modeling of humidity stresses in a soil half-space

E. Agakhanov, C. A. Agakhanov, G. Agakhanov
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Abstract

Objective. Solving the issues of reliability, durability and efficiency of buildings and structures is inextricably linked with the behavior of soils in their foundations. In order to establish a more realistic behavior of soils, the paper considers the determination of their stressstrain state, taking into account new factors, including physical influences, in particular, humidity.Method. Representing the structure of the soil in the form of a model composed of two elastic and one viscous elements, and assuming that the properties of the elastic elements do not change with changes in humidity, mathematical modeling of moisture stresses in the soil half-space was performed. The expediency of this model is explained by the fact that the transition to overly complicated material structure schemes introduces few significant corrections into the deformation laws and leads to serious calculation difficulties.Result. Replacing true time with conditional time leads to a significant simplification of the solution of the equation, since it reduces one part of it to a differential linear operator with constant coefficients. In this case, the opposite part can usually be considered as a given function of conditional time. The maximum value of stresses was obtained at full soil moisture, very low moisture intensity and very intensive moisture.Conclusion. By setting the appropriate moisture intensity, you can get the maximum stress that does not exceed the specified allowable value.
土壤半空间湿度应力的模拟
目标。解决建筑物和结构的可靠性、耐久性和效率问题与其基础中的土壤行为密不可分。为了建立一个更真实的土的行为,本文考虑到新的因素,包括物理影响,特别是湿度,其应力-应变状态的确定。以两个弹性单元和一个粘性单元组成的模型形式表示土壤的结构,并假设弹性单元的性质不随湿度变化而变化,对土壤半空间中的水分应力进行了数学建模。由于过渡到过于复杂的材料结构方案时,对变形规律的修正很少,而导致了严重的计算困难,因此说明了该模型的方便性。用条件时间代替真实时间可以显著简化方程的解,因为它将方程的一部分简化为常系数的微分线性算子。在这种情况下,相反部分通常可以被认为是条件时间的给定函数。应力值在土壤充分水分、极低水分强度和极强水分条件下达到最大值。通过设置合适的湿度强度,可以得到不超过规定允许值的最大应力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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