基于Lade模型的生物酶改良膨胀土双屈服面本构关系

doi:10.13229/j.cnki.jdxbgxb20200383

摘要/Abstract

摘要：

基于Lade模型，研究了生物酶改良膨胀土的双屈服面弹塑性应力-应变关系。首先，开展一系列不同生物酶掺量下改良膨胀土的等向固结排水试验、三轴固结排水剪切试验；然后，根据试验结果拟合Lade模型中的各参数与生物酶掺量之间的关系表达式；最后，建立基于生物酶掺量的Lade模型。研究表明：①体积应变 $ε v$ 随平均应力 $p$ 的增大而非线性增大，当 $p$ 一定时， $ε v$ 随生物酶掺量增加而减小， $ε v$ 与 $p$ 为非线性关系；②轴向应变 $ε 1$ 、侧向应变 $ε 3$ 均随偏应力 $q$ 的增大而非线性增大， $q$ 随生物酶掺量增加而增大，在一定的围压 $σ 3$ 下， $ε v$ 随生物酶掺量的增加而减小， $q$ - $ε 1$ 、 $ε 1$ - $ε v$ 、 $q$ - $ε 3$ 等试验曲线都呈现出近似双曲线特征， $q$ - $ε 1$ 关系表现为应变硬化型，体应变 $ε v$ 表现为应变剪缩型；③基于生物酶掺量的Lade模型，能较准确地反映生物酶掺量对膨胀土应力-应变关系的影响，可较好地预测出不同生物酶掺量、不同围压 $σ 3$ 下的生物酶改良膨胀土的弹塑性应力-应变关系。

关键词: 道路工程, 生物酶改良膨胀土, 双屈服面本构关系, Lade模型, 弹塑性应力-应变关系

Abstract:

The elasto-plastic stress-strain behaviors with double yield surfaces of bioenzyme-treated expansive soil was studied based on Lade model. Firstly， a series of the isotropic consolidation drainage tests and the triaxial consolidated drained shear tests of bioenzyme-treated expansive soil under different ratio of bioenzyme-based soil stabilizer were conducted. Secondly， the expressions between the parameters of the Lade model and the ratio of bioenzyme-based soil stabilizer were fitted based on the triaxial test results. Finally， a Lade model based on the ratio of bioenzyme-based soil stabilizer was proposed. The study conclusions as follows： ①The bulk strain $ε v$ increases nonlinear with the average stress $p$ ， and decreases with the ratio of bioenzyme-based soil stabilizer at $p$ is constant. The test curves of $ε v$ - $p$ are nonlinear relationship. ②The axial strain $ε 1$ ， lateral strain $ε 3$ increases nonlinear with the deviator stress $q$ respectively， and $q$ increases with the ratio of bioenzyme-based soil stabilizer. The bulk strain $ε v$ decreases with the ratio of bioenzyme-based soil stabilizer. The test curves of $q$ - $ε 1$ 、 $ε 1$ - $ε v$ 、 $q$ - $ε 3$ are hyperbola respectively. The stress-strain relationships between $q$ and $ε 1$ are strain hardening， and the relationships between $q$ and $ε v$ are shrinkage. ③A Lade model based on the ratio of bioenzyme-based soil stabilizer can better describe the effects of the ratio of bioenzyme-based soil stabilizer on the elasto-plastic stress-strain behavior of bioenzyme-treated expansive soil， and can well predict the stress-strain relationship of bioenzyme-treated expansive soil under different ratio of bioenzyme-based soil stabilizer and confining pressures $σ 3$ .

Key words: road engineering, bioenzyme-treated expansive soil, constitutive model with double yield surfaces, Lade model, elasto-plastic stress-train relation

中图分类号:

U416.1

文畅平,任睆遐. 基于Lade模型的生物酶改良膨胀土双屈服面本构关系[J]. 吉林大学学报(工学版), 2021, 51(5): 1716-1723.

Chang-ping WEN,Huan-xia REN. Constitutive relation with double yield surfaces of bioenzyme⁃treated expansive soil based on Lade model[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(5): 1716-1723.

图/表 7

图1

表1

膨胀土试样的主要物理力学指标"

指标	数值	指标	数值
天然含水率w/%	29.0	标准吸湿含水率/%	5.9
液限/%	59.0	无荷膨胀率/%	8.9
塑限/%	26.0	胀缩总率/%	4.1
塑性指数I_p/%	33.0	CBR/%	2.15
最大干密度ρ_max/（g·cm^-3）	1.65	无侧限抗压强度/kPa	248
最佳含水率w_opt/%	18.0	$<$ 0.002 mm含量/%	18.5
自由膨胀率/%	64	活动度	1.78

表1

图2

图3

图4

表2

图5

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z/%	K₀	n₀	K₁	n₁	m	η₁	S	R	t	K	l	α	β
0	1.405	0.746	1.083	0.797	0.694	108.320	0.327	-1.055	1.502	0.645	1.736	2.652	-0.406
1	1.564	0.701	0.918	0.782	0.974	135.843	0.312	-2.377	4.953	0.606	1.932	2.801	-0.372
2	1.756	0.637	0.886	0.771	1.194	190.356	0.302	-4.058	8.956	0.551	2.170	2.913	-0.308
3	1.951	0.614	0.796	0.767	1.445	249.517	0.287	-5.312	12.327	0.531	2.411	3.002	-0.267
4	2.125	0.593	0.724	0.753	1.882	340.245	0.272	-6.719	15.904	0.513	2.626	3.165	-0.224
5	2.421	0.535	0.628	0.748	2.351	430.973	0.259	-8.803	19.352	0.463	2.991	3.237	-0.172