A multi‐mechanism constitutive model for plastic adaption under cyclic loading

As is well known, granular soils under cyclic loading dissipate a large amount of energy and accumulate large irreversible strains. Usually, with time, this second effect reduces and the accumulation rate decreases with the number of cycles until obtaining a sort of ideal stationary cyclic state at which ratcheting disappears. In this paper, only this ideal state is taken into consideration and simulated by means of a multi‐mechanism constitutive model for plastic adaptation. For this purpose, the concept of cycle is discussed, many different categories of cyclic stress/strain paths are considered and some theoretical issues concerning both the flow and the strain‐hardening rules are tackled. Even though the paper focuses on soil behaviour, the conclusions can be extended to all materials exhibiting ratcheting due to volumetric behaviour.Copyright © 2013 John Wiley & Sons, Ltd.     

An SMP critical state model for methane hydrate‐bearing sands

Mechanical properties of methane hydrate‐bearing soils are complex. Their behavior undergoes a significant change when hydrates dissociate and become methane gas. On the other hand, methane hydrates are ice‐like compounds and, depending on the hydrate accumulation habits and the degree of hydrate saturation, may cement soil particles into stronger and stiffer soils. A new constitutive model is proposed that is capable of capturing essential characteristics of hydrate‐bearing soils. The core of the model includes the spatial mobilized plane concept; a transformed stress, t_ij; the critical state; and the subloading framework. The proposed model gives soil responses due to stress changes or hydrate saturation changes or both. The performance of the model has been found satisfactory, over a range of hydrate saturation and confining pressures, using triaxial test data from laboratory‐synthesized samples and from field samples extracted from Nankai Trough, Japan. Copyright © 2015 John Wiley & Sons, Ltd.     

Generalized trapezoidal numerical integration of an advanced soil model

This paper investigates the numerical performance of the generalized trapezoidal integration rule by using an advanced soil model. The generalized trapezoidal integration rule can include many other integration algorithms by adjusting a single parameter α ranging from 1 to 0. The soil model used is the recently developed middle surface concept (MSC) sand model which simulates different soil response characteristics by using different pseudo‐yield functions. The generalized trapezoidal rule and MSC sand model are used to simulate the responses of sand samples with different relative densities under various initial and loading conditions. Instead of a single step, multiple loading steps bring the sample to the vicinity of failure. These comprehensive investigations examine and compare the influences of various values of α on the numerical solution of integrated constitutive equations, the convergence of Newton's iterative scheme, and the integration accuracy. Copyright © 2007 John Wiley & Sons, Ltd.     

A constitutive model for unsaturated soil interfaces

A constitutive model based on the disturbed state concept is presented to describe the behavior of interfaces in unsaturated soil. The model is an extension of an existing model developed for a sand–steel interface. As opposed to the original model, the modified model incorporates two independent stress variables, which are the net normal stress and matric suction. The saturated and dry state of the interface can be modeled as a special case using the constitutive model presented in this paper. The modified model is capable of capturing the main features of unsaturated interfaces observed during laboratory testing, including increasing shear strength and strain softening with increasing suction and net normal stress and increasing dilatancy with increasing suction. Laboratory tests were carried out on unsaturated interfaces in a modified direct shear test apparatus. The observed behavior of interfaces between unsaturated soil and steel plates (rough and smooth) is presented in comparison with model predictions. Copyright © 2008 John Wiley & Sons, Ltd.     

An improved implicit numerical integration of a non‐associated,three‐invariant cap plasticity model with mixed isotropic–kinematic hardening for geomaterials

The Sandia GeoModel is a continuum elastoplastic constitutive model that captures many features of the mechanical response for geological materials over a wide range of porosities and strain rates. Among the specific features incorporated into the formulation are a smooth compression cap, isotropic/kinematic hardening, nonlinear pressure dependence, strength differential effect, and rate sensitivity. This study attempts to provide enhancements regarding computational tractability, domain of applicability, and robustness of the model. A new functional form is presented for the yield and plastic potential functions. This reformulation renders a more accurate, robust, and efficient model as it eliminates spurious solutions attributed to the original form. In addition, we achieve a high‐performance implementation, because the local iterative method is allowed to recast residual vectors with a uniform dimensionality. The model is also furnished with a smooth, elliptical tension cap to account for the tensile yielding. Moreover, an efficient algorithm is introduced, which decreases the computational cost by differentiating the updated shear yield surface from the cap surface based on the trial relative stress state. Finally, various numerical examples including a large‐scale boundary value problem are presented to demonstrate the fidelity of the modified model and to analyze its numerical performance. Copyright © 2015 John Wiley & Sons, Ltd.     

饱和土变形过程模拟的统计损伤方法研究

针对传统损伤理论的不足与局限性,从研究岩土材料损伤的合理定义入手,并通过深入探讨饱和土损伤的微观力学机制,建立了适合于饱和土的新型损伤模型。在此基础上,引进统计损伤理论,建立了模拟特定围压下饱和土变形全过程的统计损伤本构模型及其参数确定方法。通过探讨饱和土损伤统计本构模型参数与围压的关系,建立了该模型的合理修正方法,从而建立了反映不同围压条件的统一饱和土损伤统计本构模型。理论与试验结果分析表明了该模型的合理性,该模型不仅能反映饱和土的变形全过程,而且能反映孔隙水压力对饱和土变形的影响。     

节理岩体大型地下洞室群稳定性分析

深入研究了加锚节理面的变形特点和节理面附近锚杆的变形特点;把断裂力学与损伤力学相结合,采用应变能等效的方法,建立了加锚断续节理岩体在压剪应力作用下的本构关系;按自洽理论的方法,得到了加锚断续节理岩体在拉剪应力状态下的本构关系,并将其理论模型应用于某大型地下厂房的三维稳定性分析中。应用加锚断续节理岩体断裂损伤模型模拟锚杆的支护效应,锚杆通过与围岩的联合作用,有效地限制了围岩变形,改善了围岩的应力状态,阻止了围岩破损区的发展演化,从而提高了围岩的稳定性。将断裂损伤计算结果与一般弹塑性（FLAC3D）计算结果进行了对比分析。相比于普通的弹塑性模型,加锚断续节理岩体断裂损伤模型考虑了岩体中节理裂隙对洞室围岩稳定性的影响,以及锚杆针对节理裂隙的加固作用,能更好地反映裂隙岩体洞室围岩稳定性特征,从而验证了该模型的有效性和优越性。     

模拟土体本构特性的热力学方法

简要介绍了建立岩土材料弹塑性本构模型的热力学方法。它不仅具有紧凑的数学结构,而且自动满足热力学定律,仅从两个热力学势函数,即自由能函数与耗散增量函数出发,就足以导出弹塑性理论必须的屈服条件,流动法则,硬化定律和弹性定律。通过理论证明指出,只要耗散增量函数依赖于当前应力,流动法则必然是非关联的,岩土材料的摩擦特性与非关联流动法则密不可分。介绍该方法在三维模型,岩土材料的微细观力学特性,应力应变的均匀化以及剪胀和各向异性方面应用的主要研究进展,并对一些重要的概念,诸如“储存的塑性功”,“Reynolds-Taylor状态”等,进行分析与解释。最后给出近期需进一步深入研究的几点建议。     

Comparison between characteristics of mild slope equations and Boussinesq equations

Boussinesq-type equations and mild-slope equations are compared in terms of their basic forms and characteristics. It is concluded that linear mild-slope equations on dispersion relation are better than non-linear Boussinesq equations. In addition, Berkhoffexperiments are computed and compared by the two models, and agreement between model results and available experimental data is found to be quite reasonable, which demonstrates the two models＇ capacity to simulate wave transformation. However they can deal with different physical processes respectively, and they have their own characteristics.     

狭窄煤柱冲击地压的折迭突变模型

对简化的狭窄煤柱岩爆分析模型,通过功、能增量平衡关系的途径,导出狭窄煤柱岩爆的突变模式属折迭突变模型。该突变模型的平衡方程和平衡路径所展示的全部性态, 可对煤柱以岩爆形式破坏和渐进形式破坏过程中,包括系统稳定性在内的所有行为,作一一相对应的描述。并首次给出的岩梁弹性能变化（释放）率曲线包含了丰富的信息量,对理解岩梁-煤柱系统在各阶段的行为规律有着重要的作用。所给出的能量输入率 ,是系统失稳临界条件的提法和表达式中蕴涵了Cook刚度判据,故看作是Cook判据能量形式的动态推广。利用能量输入率可将极限状态下岩煤系统稳定性的定性认识提高到用定量形式描述,为岩煤系统稳定性的表述赋予新的形式。