In this paper we revisit the problem of simulating the compression and dilatancy behavior of sand by means of a new isotropic hardening constitutive model. First, the reference compression curve, which is constructed as a straight line in the log-power space, is used to establish the volumetric hardening parameter by considering the unified hardening parameter. In addition, a stress-ratio dependent compression curve is regarded as the state parameter reference curve, to describe the shearing behavior as well as the isotropic compressive behavior of sand. Finally, results of triaxial tests for Fujian standard sand and Toyoura sand are used to determine the parameters and verify the proposed model. Comparisons show that this constitutive model is able to describe the stress–strain relationship and dilatancy of sand in a convincing accuracy.

在本文中，我们通过新的各向同性硬化本构模型重新讨论了模拟沙子的压缩和剪胀行为的问题。首先，在对数幂空间中构造为直线的参考压缩曲线通过考虑统一硬化参数来建立体积硬化参数。此外，应力比相关压缩曲线被视为状态参数参考曲线，以描述砂的剪切行为以及各向同性压缩行为。最后，利用福建标准砂和Toyoura砂的三轴试验结果确定参数并验证所提出的模型。比较表明，该本构模型能够以令人信服的精度描述砂的应力-应变关系和剪胀。