非饱和土应力变量的构建方法及验证新进展

    New progress in construction and verification of stress variables for unsaturated soils

    • 摘要: 应力变量是描述非饱和土的变形、强度、持水等力学性状的前提,构建合适的应力变量是非饱和土力学的基本课题,受到众多学者的长期关注。为了给今后的研究提供有益的参考,本文以应力变量的构建方法为主线,对文献中的有效应力和应力状态变量进行系统的梳理和评述,并详细介绍对应力变量和有效应力参数验证的新进展。研究结果表明:①构建描述非饱和土力学特性的应力变量主要有5种方法,即唯象法、力学效应等效法、平衡方程法、功率共轭法和热力学方法,用每种方法都能构建出多组(个)应力变量供选择使用。②选择应力变量必须考虑4个方面,即理论合理、应用简便、逻辑关系正确、经过充分验证,简称为选择应力变量的4项原则;不能仅凭某一方面选择应力变量;按照该4项原则对文献中构建的多组(个)应力变量和多个有效应力参数的优缺点进行了分析评价。③依据实践是检验理论真伪优劣的最高标准的理念,对验证应力变量(包括应力状态变量和有效应力参数)的新进展和新认识做了详细介绍,分析了数以百计的非饱和土三轴剪切试验和直剪试验的验证资料和结果,认为把破坏时的饱和度、破坏时的有效饱和度、文中的式(5)和式(6)作为有效应力参数是不合适的;通过必要性和充分性两方面的验证,认为净总应力 (\sigma - u_\texta) 和吸力 (u_a - u_\textw) 是两个独立的应力变量,用其可以方便地描述非饱和土的力学性状;有效应力参数与土类、吸力、净围压(或竖向净应力)和应力路径有关,多种土在低吸力下的抗剪强度试验测得的有效应力参数值远大于1或者很小,没有明确的规律可循;用考虑上述因素影响的控制吸力的非饱和土三轴排水剪切试验或直剪试验测定有效应力参数是目前可行的途径。

       

      Abstract: Stress variables serve as the foundation for describing the mechanical properties of unsaturated soils, including deformation, strength, and water retention capacity. Establishing appropriate stress variables constitutes a fundamental subject in unsaturated soil mechanics and has received long-term attention from numerous scholars. To provide valuable references for future research, this paper systematically sorts and reviews effective stress and stress state variables in the literature, focusing on stress variable construction methods. It also detailedly introduces new developments in validating stress variables and effective stress parameters in detail. The research findings indicate: (1) Five primary methods exist for constructing stress variables describing unsaturated soil mechanical characteristics: phenomenological method, mechanical effect equivalence method, equilibrium equation method, power conjugate method, and thermodynamic method. Each method yields multiple sets or multiple individual stress variables for selection and application. (2) Selecting stress variables requires consideration of four aspects: theoretical soundness, practical simplicity, logical consistency, and thorough validation—collectively termed the four principles for stress variable selection. No single aspect should dominate the choice. These principles are applied to evaluate the strengths and weaknesses of multiple stress variable sets and effective stress parameters documented in the literature. (3) Guided by the principle that practice serves as the ultimate criterion for testing the validity and quality of theories, this study provides a detailed introduction to new developments and insights in verifying stress variables (including stress state variables and effective stress parameters). It analyzes verification data and results from hundreds of triaxial shear tests and direct shear tests on unsaturated soils. It concludes that the saturation at failure, the effective saturation at failure, and the formula (5) and (6) as effective stress parameters is inappropriate. Through both necessary and sufficient condition tests, it is concluded that net total stress and suction are two independent stress variables that can conveniently describe the mechanical properties of unsaturated soils. Effective stress parameters correlate with soil type, suction, net confining pressure (or net vertical stress), and stress path. For many soils, effective stress parameters measured in shear strength tests under low suction conditions exhibit values significantly greater than 1 or extremely small, lacking clear discernible patterns. Currently, the current feasible approach involves determining effective stress parameters using unsaturated soil triaxial drained shear tests or direct shear tests that control suction to account for the aforementioned influencing factors.

       

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