The aim of this project was to investigate very small strain elastic behaviour of soils under unsaturated conditions, using bender/extender element (BEE) testing. The behaviour of soils at very small strains has been widely studied under saturated conditions, whereas much less work has been performed on very small strain behaviour under unsaturated conditions.udududA suction-controlled double wall triaxial apparatus for unsaturated soil testing was modified to incorporate three pairs of BEEs transmitting both shear and compression waves with vertical and horizontal directions of wave transmission and wave polarisation. Various different techniques for measuring wave travel time were investigated in both the time domain and the frequency domain and it was concluded that, at least for the current experimental testing programme, peak-to-first-peak in the time domain was the most reliable technique for determining wave travel time. udududAn experimental test programme was performed on samples of compacted speswhite kaolin clay. Two different forms of compaction were employed (i.e. isotropic and anisotropic). Compacted kaolin soil samples were subjected to constant suction loading and unloading stages at three different values of suction, covering both unsaturated conditions (s=ud 50kPa and s= 300kPa) and saturated conditions (s=0). Loading and unloading stages were performed at three different values of stress ratio (η=0, η=1 and η=-1 ). In some tests a wetting-drying cycle was performed before or within the loading stage, with the wetting-drying cycles including both wetting-induced swelling and wetting-induced collapse compression. BEE tests were performed at regular intervals throughout all test stages, to measure shear wave velocity Vs and compression wave velocity Vp and hence to determine values of shear modulus G and constrained modulus M. The experimental test programme was designed to investigate how very small strain shear modulus G and constrained modulus M varied with unsaturated state variables, including how anisotropy of these parameters developed either with stress state (stress-induced anisotropy) or with previous straining (strain-induced anisotropy). udududA new expression has been proposed for the very small strain shear modulus G of an isotropic soil under saturated and unsaturated conditions. This expression relates the variation of Gud to only mean Bishop’s stress p* and specific volume v, and it converges to a well-established expression for saturated soils as degree of saturation approaches 1. The proposed expression for G is able to predict the variation of G under saturated and unsaturated conditions at least as well as existing expressions from the literature and it is considerably simpler (employing fewer state variables and fewer soil constants). In addition, unlike existing expressions from the literature, the values of soil constants in the proposed new expression can be determined from a saturated test. udududIt appeared that, in the current project at least, any strain-induced anisotropy of very small strain elastic behaviour was relatively modest, with the possible exception of loading in triaxial extension. It was therefore difficult to draw any firm conclusion about evolution of strain-induced anisotropy and whether it depended upon the same aspects of soil fabric as evolution of anisotropy of large strain plastic behaviour. udududStress-induced anisotropy of very small strain elastic behaviour was apparent in the experimental test programme. An attempt was made to extend the proposed expression for G to include the effect of stress-induced anisotropy. Interpretation of the experimental results indicated that the value of shear modulus was affected by the values of all three principal Bishop’s stresses (in the direction of wave transmission, the direction of wave polarisation and the third mutually perpendicular direction). However, prediction of stress-induced anisotropy was only partially successful, and it was concluded that the effect of Lode angle was also significant.
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机译:该项目的目的是使用弯曲/延伸元件(BEE)测试来研究非饱和条件下土壤的很小应变弹性行为。在饱和条件下对非常小的应变下的土壤的性能进行了广泛的研究,而在非饱和条件下对很小的应变下的行为进行的工作却少得多。 ud ud ud进行了修改,以结合三对BEE,它们在垂直和水平方向上分别传输剪切波和压缩波以及波的极化。研究了在时域和频域中测量波传播时间的各种不同技术,得出的结论是,至少对于当前的实验测试程序而言,时域中的峰到峰是最可靠的技术。用于确定波浪传播时间。 ud ud ud对压实的斯派白高岭土样品进行了实验测试。采用了两种不同的压实形式(即各向同性和各向异性)。压实的高岭土样品在三种不同的吸力值下经受恒定的吸力加载和卸载阶段,涵盖不饱和条件(s = ud 50kPa和s = 300kPa)和饱和条件(s = 0)。在三个不同的应力比值(η= 0,η= 1和η= -1)下执行加载和卸载阶段。在一些测试中,在加载阶段之前或之内进行了一个干湿循环,该干湿循环包括湿润引起的溶胀和湿润引起的塌陷压缩。在所有测试阶段中,均以固定间隔执行BEE测试,以测量剪切波速度Vs和压缩波速度Vp,从而确定剪切模量G和约束模量M的值。设计了实验测试程序,以研究非常小的应变剪切模量G和约束模量M随不饱和状态变量而变化,包括这些参数的各向异性如何随应力状态(应力引起的各向异性)或先前应变(应变引起的各向异性)而发展。对于饱和和非饱和条件下各向同性土壤的极小应变剪切模量G,已经提出了新的表达式。该表达式将G ud的变化与平均Bishop应力p *和比体积v关联起来,并且随着饱和度接近1,它收敛到一个公认的饱和土壤表达式。G的拟议表达式能够预测G至少在饱和和非饱和条件下的变化以及文献中已有的表达式都可以,而且相当简单(使用更少的状态变量和更少的土壤常数)。此外,与文献中现有的表达式不同,可以通过饱和试验确定建议的新表达式中的土壤常数值。 ud ud ud看来,至少在当前项目中,任何很小的应变弹性行为的应变诱发各向异性都相对适中,可能是三轴延伸中的载荷除外。因此,很难得出关于应变引起的各向异性的演变以及它是否依赖于土壤织物与大应变塑性行为的各向异性演变相同方面的任何确凿结论。在实验测试程序中,应力引起的非常小的应变弹性行为的各向异性是显而易见的。尝试将建议的G表达式扩展为包括应力诱导的各向异性的影响。对实验结果的解释表明,剪切模量的值受所有三个主Bishop应力值的影响(在波传播的方向,波的极化方向和第三个相互垂直的方向)。但是,对应力引起的各向异性的预测只是部分成功,并且得出结论,洛德角的影响也很明显。
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