粘性土热弹塑性粘塑性模型的数值实现与求解策略

Victor N. Kaliakin
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引用次数: 4

摘要

由于材料的多孔性,土壤的热力学分析变得复杂。宏观上,土壤表现出各向异性、非弹性、硬化(和软化)、时间和温度依赖的行为。使问题进一步复杂化的是,土壤的热特性不像其他材料(如金属)那样为人所熟知。最近出现了几个重要的问题,需要对土壤的热力学行为进行现实的预测。对这类问题的分析需要一种通用但实用的方法,不仅要考虑材料非线性和热-机械耦合,还要考虑土壤的时间依赖性特征。这一目标是通过扩展一个广义边界面模型来实现的,该模型最初是为饱和黏性土壤的等温分析而开发的,考虑了温度的影响。除了考虑热-力耦合和土的非弹性特性外,该模型还包括了随时间变化的特性。后一个方面似乎是土壤热力学模型中的一个新命题。本文的重点是上述模型在饱和黏性土热力学分析中的数值实现和求解。结果表明,在分析中考虑时间效应不会给求解耦合三场问题的潜在算法带来额外的复杂性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical implementation and solution strategies for a thermo-elastoplastic-viscoplastic model for cohesive soils

Thermal-mechanical analyses of soils are complicated by the porous nature of the material. Macroscopically soils exhibit an anisotropic, inelastic, hardening (and softening), time- and temperature-dependent behavior. To further complicate matters, the thermal properties of soils are not as well known as those for other materials such as metals. Several important problems have recently arisen that necessitate the realistic prediction of thermal-mechanical behavior of soils. The analysis of such problems requires a general but practical methodology that accounts for not only material non-linearities and thermo-mechanical coupling, but also for time-dependent characteristics of soils.

This objective has been realized by extending a generalized bounding surface model, originally developed for isothermal analyses of saturated cohesive soils, to consider temperature effects. Besides accounting for thermal-mechanical coupling and for the inelastic nature of soils, this model includes time-dependent behavior. This latter aspect appears to be a novel proposition in thermo-mechanical modeling of soils.

The emphasis of the present paper is on the numerical implementation and solution of the aforementioned model for thermo-mechanical analysis of saturated cohesive soils. It is shown that the consideration of time effects in the analysis introduces no additional complexity into potential algorithms used in the solution of coupled three-field problems.

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