Micromechanical approach to effective viscoelastic properties of micro‐fractured geomaterials          下载免费PDF全文

Cássio B. Aguiar  Samir Maghous 《国际地质力学数值与分析法杂志》2018,42(16):2018-2046

The aim of this paper is to formulate a micromechanics‐based approach to non‐aging viscoelastic behavior of materials with randomly distributed micro‐fractures. Unlike cracks, fractures are discontinuities that are able to transfer stresses and can therefore be regarded from a mechanical viewpoint as interfaces endowed with a specific behavior under normal and shear loading. Making use of the elastic‐viscoelastic correspondence principle together with a Mori‐Tanka homogenization scheme, the effective viscoelastic behavior is assessed from properties of the material constituents and damage parameters related to density and size of fractures. It is notably shown that the homogenized behavior thus formulated can be described in most cases by means of a generalized Maxwell rheological model. For practical implementation in structural analyses, an approximate model for the isotropic homogenized fractured medium is formulated within the class of Burger models. Although the approximation is basically developed for short‐term and long‐term behaviors, numerical applications indicate that the approximate Burger model accurately reproduce the homogenized viscoelastic behavior also in the transient conditions.  相似文献   

Influence of the quality factor on simulated seismic waves: A case study of the 1994 Northridge earthquake          下载免费PDF全文

Qingpei Zeng  Xiangchao Wang  Jinting Wang 《地震科学（英文版）》2022,35(5):329-342

In numerical simulations of ground motion, the constant quality factor Q of a viscoelastic medium can be determined using the time-domain constitutive approximation method of the generalized standard linear solid (GSLS) model. This study introduces a numerical seismic wavefield simulation method which combines the spectral element method with the constant-Q model. The method is used to simulate the seismic wavefield of the 1994 Northridge earthquake. The optimal attenuation coefficient for the simulated seismic waves in this study area is determined empirically based on a quantitative analysis of the deviation curve. Further, the effect of the quality factor on the simulated wavefield are analyzed according to the site characteristics of each seismic station. The quality factor shows a variable effect on the different frequency components of the simulated wavefield. The effect of the quality factor also varies with the characteristic parameters of each seismic station site, such as site velocity structure, fault distance, and azimuth angle.  相似文献   

Research for time-temperature equivalence effect of rock (I):Theory research   总被引：1，自引：1，他引：0  

LIU Quan-sheng  ZHU Yuan-guang 《岩土力学》2011,32(3):641-646

In order to know about the rheological properties of rock in a long range of the time scale,method of increasing temperature was brought forward to accelerate the rheological process of rock,which could extend the time scale of experimental test data.Firstly,based on the generalized linear viscoelastic constitutive equation with temperature variable,the creep behavior of rock was divided into three types according to the different strain dependences of the time,that is,Hookean deformation,Newtonian flow,and retarded elasticity.Then the general equivalence relationship between time parameter and temperature parameter was derived for each type of strain.Finally,the relation between time parameter and temperature parameter in the whole creep was considered and the general theory of time-temperature equivalence effect(TTEE) of rock was established.This research reveals: ①The temperature effect on the instantaneous strain could be modified through vertical shift.②The key point of the TTEE of Newtonian flow depends on whether in the study of linear viscoelastic behavior of rock change of temperature is completely equivalent to a shift of the logarithmic time scale or not.③By plotting the results of a creep experiment performed at different temperatures and comparing the curves obtained,one can decide whether the rock considered have TTEE.④The TTEE of the whole creep should satisfy that the horizontal shift function of Newtonian flow and retarded elasticity is consentaneous.  相似文献   

An approach to the modeling of viscoelastic damage. Application to the long‐term creep of gypsum rock materials     

B. Nedjar  R. Le Roy 《国际地质力学数值与分析法杂志》2013,37(9):1066-1078

A three‐dimensional phenomenological model is developed to describe the long‐term creep of gypsum rock materials. The approach is based on the framework of continuum damage mechanics where coupling with viscoelasticity is adopted. Specifically, a local damage model based on the concept of yield surface is proposed and deeply investigated. Among the many possibilities, we choose in this work its coupling with a generalized Kelvin–Voigt rheological model to formulate the whole behavior. Long‐term as well as short‐term relaxation processes can be integrated in the model by means of as many as necessary viscoelastic processes. The numerical discretization is described for an easy integration within a finite element procedure. Finally, a set of numerical simulations is given to show the possibilities of the presented model. It shows good agreement with some experimental results found in the literature. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

一维问题的等效远置动力人工边界条件     

吴艺 《岩土力学》2011,32(11):3508-3514

在土-结构动力相互作用分析中,黏性人工边界条件和黏弹性人工边界条件虽具有计算效率和精度较高的优点,但施加边界单元的工作量较大;远置边界虽然具有处理技术简单、精度高等优点,但又存在计算成本高的问题。为克服黏性人工边界和黏弹性人工边界施加边界黏弹性单元工作量大、远置边界计算成本高的缺点,基于波的传播理论和波在介质交界面上的反射、透射原理,通过设置完全透射层并大大降低波在透射层的传播速度的方法,提出了一种等效远置动力人工边界条件并对其进行数值验证分析。研究结果表明,所提出的等效远置动力人工边界条件仅需通过合理选取透射层的参数,即可实现反射波向无限地基传播的模拟,具有精度和效率较好、不需施加边界单元工作量等优点,可应用到土-结构动力相互作用分析当中。  相似文献   

黏弹性介质中瑞利波频散曲线和衰减系数曲线的反演          下载免费PDF全文

常冬梅  刘雪峰 《地震工程学报》2015,37(3):739-742

瑞利波具有能量大、信噪比高等特点,可以用来反演介质内部的力学信息,近年来在浅层地球物理勘探、深层地震学研究以及超声波无损检测等多个领域都有较广泛的应用。目前大多数瑞利波的应用中都假设介质是弹性的,然而实际中岩石、土壤和金属等介质都在一定程度上体现出了黏弹性。当介质的黏弹性较强时仍然采用弹性假设研究其中瑞利波的反演将增大误差,因此有必要考虑黏弹性介质中的瑞利波反演,但是目前这方面的研究仍不够深入。本文研究黏弹性介质中瑞利波频散曲线和衰减系数曲线的反演问题,给出其在半空间中联合反演的方法,并对该方法的误差进行分析。  相似文献   

基于谱元法的各向异性黏弹性介质地震波场模拟和分析     

张平  韩立国 《世界地质》2017,36(1):255-265

基于谱元法计算理论,通过坐标旋转算法实现任意各向异性黏弹性介质中的地震波场计算,研究复合介质中地震波场特征。根据计算结果,qSV波表现为剪切滞弹性形变,qP波表现为膨胀滞弹性形变;品质因子不仅影响地震波振幅,还影响其传播频率;黏弹性介质吸收高频快,在一定频率范围内,黏弹性介质没有频散现象。  相似文献   

基于黏弹性理论的沉桩再固结问题分析     

姚文娟  郭城志  刘逸敏 《岩土力学》2015,36(3):647-652

假设桩周土体为饱和黏弹性介质,采用Burgers流变模型进行描述,同时考虑竖向和径向固结,建立了固结控制方程。根据不排水和自由排水情况,将边界条件分为3类并分别得到超孔隙水压力消散的级数解答,该解答能够为孔压静力触探反求固结系数提供一定的理论依据。在此基础上编制了应用程序,对Burgers流变模型中主要参数进行了分析。结果表明,地基表面自由排水、桩端地基不排水条件下,在一定深度以内的桩周土体的固结速度随深度降低,但超过某一范围后固结速度趋于稳定;上、下边界均自由排水条件下,固结速度随深度增加呈现下降、稳定、升高;上、下边界均不排水条件时,孔压消散速度不随深度变化,可简化为本解答仅考虑径向固结的特例。同时土体的流变特性对超孔隙水压力消散的影响比较显著,流变参数G1/1的变化使超孔隙水压力趋于某不为0的定值,且该值随G1/1比值的增大而增加;其他参数不变时,土体剪切刚度比G1/G2的增大会引起孔压消散速度的下降。  相似文献   

黏弹性节理岩体的位移不连续模型研究     

王志亮  陈强  张宇 《岩土力学》2015,36(8):2177-2183

选用三参数标准线性固体作为岩石本构,提出了一种考虑岩体黏弹性的位移不连续模型;根据一维黏弹性波的特征线法,推导了节理处质点速度、应力和应变递推公式。首先,基于分离式霍普金森压杆（SHPB）对砂层进行试验,得到其应力-应变关系,并换算出砂层节理的法向刚度;接着,通过一维强间断黏弹性波的波速公式、高频波衰减系数以及任一频率下的衰减系数,确定出数值算法中的三参数。最后,基于自制的摆锤装置,探讨了一维应力波在节理岩体中的传播规律,试验中以两根长1 000 mm、直径为68.50 m的岩杆作为入射和透射杆,以3 mm砂层模拟节理。试验和数值结果吻合度良好,进一步验证了该方法的可靠性。  相似文献   

岩石非线性黏弹性蠕变特性的时温等效效应     

朱元广  刘泉声  张程远  时凯 《岩土力学》2012,33(8):2303-2309

岩石的时温等效效应是指岩石在低温、长时间尺度下与在高温、短时间尺度下的流变力学特性等效的效应。利用岩石的时温等效效应,可以通过提高试验温度方法得到岩石在相对低温下的长期流变力学特性。为研究岩石在非线性黏弹性条件下的时温等效效应,基于Schapery单积分型的非线性本构方程,得到了岩石非线性黏弹性蠕变力学特性时温等效效应的数学表示。根据不同应力及温度下花岗岩的蠕变试验结果,设定20 ℃为参考温度,考虑温度改变对岩石瞬时蠕变柔量的影响,得到了垂直移位因子随温度的变化规律及修正后的蠕变柔量的时间对数曲线;对修正后的曲线进行水平移位使得相邻温度曲线之间相交于一点,得到不同应力下蠕变柔量的主曲线及水平移位因子的变化规律;主曲线中相邻温度曲线之间的一致性较好,进一步验证了花岗岩时温等效效应的存在性。通过对不同应力下的垂直移位因子和水平移位因子的变化规律分析,发现应力为40～60 MPa之间的非线性并不明显,但到87 MPa,非线性特性明显增强。  相似文献