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1.
多孔介质的变形表现为黏弹塑性,其中,弹性变形体现为本体变形;黏性变形体现为结构变形;塑性变形体现为损伤变形.在原有有效应力理论的基础上结合损伤力学的基本原理,研究多孔介质有效应力的性质.在原假设多孔介质颗粒可压缩的前提下,假定部分颗粒可发生局部破坏,并且在颗粒破坏后,有效应力将有所增加,相应的骨架承载能力将有微小程度增强.采用损伤有效应力参与计算将能更加准确地描述多孔介质复杂的变形性质.  相似文献   

2.
多孔介质的流变模型研究   总被引:18,自引:0,他引:18  
多孔介质在应力作用下具有弹性变形和黏性变形两种完全不同的变形机制,多孔介质的弹性变形是由介质的本体有效力所致,而黏性变表则是由介质的结构有效应力所致。多孔介质的总变形为弹性变形和黏性变形的叠加,计算多孔介质总应变量的流变模型必须同时采用本体有效应力和结构有效应力(双重有效应力),而传统的流变模型仅采用Terzaghi有效应力是不妥当的,它无法正确描述多孔的应变行为,采用了双重有效应力之后的流变模型,通过调节介质特性参数,可以拟合介质的实际应变行为,并且把多孔介质与普通固体联系了起来。  相似文献   

3.
将多孔介质简化为一簇变截面毛管束,根据多孔介质的颗粒直径、颗粒排列方式、孔喉尺度 比及束缚水饱和度,计算出变截面毛细管的喉道半径和孔隙半径. 在考虑多孔介质喉道和孔 隙中单个气泡的受力和变形基础上,利用动量守恒定理,推导出单个孔隙单元内液相的压力 分布和孔隙单元两端的压差计算公式,最终得到多孔介质的压力分布计算公式. 利用长U型 填砂管对稳定泡沫的流动特性进行了实验研究. 研究结果表明:稳定泡沫流动时多孔介质中 的压力分布呈线性下降,影响泡沫在多孔介质中流动特性的因素包括:多孔介质的孔喉结构、 泡沫流体的流量和干度、气液界面张力、气泡尺寸,其中孔喉结构和泡沫干度是影响泡沫封 堵能力的主要因素. 关键词: 稳定泡沫;多孔介质;变截面毛管;流动;表观粘度;压力分布;实验研究  相似文献   

4.
基于描述含液颗粒材料介观结构的Voronoi胞元模型和离散颗粒集合体与多孔连续体间的介-宏观均匀化过程,定义饱和与非饱和多孔介质有效应力.导出了计及孔隙液压引起之颗粒体积变形的饱和多孔介质广义有效应力.用以定义广义有效应力的Biot系数不仅依赖于颗粒材料的多孔连续体固体骨架及单个固体颗粒的体积模量(材料参数),同时与固体骨架当前平均广义有效应力及单个固体颗粒的体积应变(状态量)有关.提出了描述非饱和多孔介质中非混和固体颗粒、孔隙液体和气体等三相相互作用的具介观结构的Voronoi胞元模型.具体考虑在低饱和度下双联(binary bond)模式的摆动(pendular)液桥系统介观结构.导出了基于介观水力-力学模型的非饱和多孔介质的各向异性有效应力张量与有效压力张量.考虑非饱和多孔介质Voronoi胞元模型介观结构的各向同性情况,得到了与非饱和多孔连续体理论中唯象地假定的标量有效压力相同的有效压力形式.但本文定义的与确定非饱和多孔介质有效应力和有效压力相关联的Bishop参数由基于三相介观水力-力学模型,作为饱和度、孔隙度和介观结构参数的函数导出,而非唯象假定.  相似文献   

5.
多孔连续体理论框架下的非饱和多孔介质广义有效压力定义和Bishop参数的定量表达式长期以来存在争议,这也影响了对与其直接相关联的非饱和多孔介质广义Biot有效应力的正确预测.基于随时间演变的离散固体颗粒-双联液桥-液膜体系描述的Voronoi胞元模型,利用由模型获得的非饱和颗粒材料表征元中水力-力学介观结构和响应信息,文章定义了低饱和度多孔介质局部材料点的有效内状态变量:非饱和多孔连续体的广义Biot有效应力和有效压力,导出了其表达式.所导出的有效压力公式表明,非饱和多孔连续体的有效压力张量为各向异性,它不仅对非饱和多孔连续体广义Biot有效应力张量的静水应力分量的影响呈各向异性,同时也对其剪切应力分量有影响.文章表明,非饱和多孔连续体中提出的广义Biot理论和双变量理论的基本缺陷在于它们均假定反映非混和两相孔隙流体对固相骨架水力-力学效应的有效压力张量为各向同性.此外,为定义各向同性有效压力张量和作为加权系数而引入的Bishop参数并不包含对非饱和多孔连续体中局部材料点水力-力学响应具有十分重要效应的基质吸力.所导出的非饱和多孔介质广义Biot有效应力和有效压力公式(包括反映有效压力...  相似文献   

6.
非饱和多孔介质中热-渗流-力学耦合的混合元法   总被引:2,自引:0,他引:2  
刘泽佳  李锡夔 《力学学报》2006,38(2):170-175
提出了一个非饱和多孔介质中热-渗流-力学耦合分析的混合有限元 方法. 固相位移、应变和净应力;孔隙水和气的压力、压力空间梯度和Darcy速度;多相混 合介质的温度、温度空间梯度和热流量在单元内均为独立变量分别插值. 基于胡海 昌-Washizu 三变量广义变分原理给出的多孔介质中热-渗流-力学耦合问题控制方程的单元弱形式,导 出了单元公式. 采用共旋公式进行几何非线性分析. 数值结果证明了所提出的单元模拟以 应变局部化为特征的渐进破坏的能力  相似文献   

7.
李星  顾鑫  夏晓舟  陈爱玖  章青 《力学学报》2022,54(12):3310-3318
多孔介质的传热传质现象广泛存在于自然界和工业领域中. 低温条件可能导致多孔介质中的组分发生相变, 并由此诱发材料损伤, 甚至导致结构失效破坏. 对这类破坏现象的预测需要精细化建模, 以能够反映物质的相变过程和材料的破坏特征. 本文采用热焓法改写经典的热传导方程, 在近场动力学框架下, 建立了一种考虑物质相变的热?力耦合模型, 发展了交错显式求解的数值计算方法, 进行了方板角冻结、热致变形和多孔介质冻结破坏等问题的模拟, 得到了方板的冻结特征、温度场和变形场的分布规律以及多孔介质的冻结破坏过程, 与试验和其他数值方法的结果具有较好的一致性. 研究表明, 本文所建立的考虑物质相变的近场动力学热?力耦合模型能够反映材料的非局部效应和物质相变潜热的影响, 准确捕捉相变过程中液固界面的演化特征, 再现多孔介质中材料相变、基质热致变形和冻结破坏过程, 突破了传统连续性模型求解这类破坏问题时面临的瓶颈, 为深入研究多孔介质冻融破坏过程和破坏机理提供了有效途径.   相似文献   

8.
认为含弧形裂纹复合陶瓷由随机方向的三相胞元与有效介质构成,用细观力学的方法研究了复合陶瓷的损伤失效和强度。首先确定三相胞元的外载应变,再依据复合陶瓷在损伤过程中的细观应力场和广义热力学力,计算出三相胞元内基体和颗粒的损伤等效应力,当基体和颗粒的损伤等效应力分别等于两者的极限应力时,得到基体和颗粒的破坏应力。然后,根据混合型应力强度因子计算弧形裂纹扩展时的能量释放率,进而得到界面的破坏应力。最后综合考虑基体、颗粒和和界面损伤影响,获得含弧形裂纹复合陶瓷的宏观强度及其尺度效应。  相似文献   

9.
根据组成多孔介质的颗粒直径、颗粒排列方式、孔喉比、束缚水饱和度,将多孔介质简化为一簇变截面毛管组成的毛管束.利用质量守恒原理和动量定理,推导出单个孔隙单元内液相压力梯度和壁面剪切应力的计算公式,得到泡沫稳定流动状态时多孔介质中的压力分布以及泡沫当量直径的计算方法.通过对喉道处气泡的受力分析,推导了截断再生气泡的当量直径计算公式.利用长U型填砂管对多孔介质中稳定泡沫的流动特性进行了实验研究.研究结果表明:稳定泡沫流动时多孔介质中的压力分布呈线性下降,孔喉结构和泡沫干度是影响泡沫封堵能力的主要因素.  相似文献   

10.
含液多孔介质力学问题的边界元方法   总被引:1,自引:1,他引:0  
提出了一种含液多孔介质力学问题的边界元求解方法.首先将问题分解为一系列含单孔流体夹杂的子问题,然后针对每个子问题建立了流体孔体积变化率与流体压力之问的函数关系,进一步采用边界元方法建立了以各流体孔压力为基本未知量的线性代数方程组,最后根据所求出的各流体孔的压力计算含液多孔介质内各点的位移、变形和应力.为了说明方法的有效...  相似文献   

11.
Transport in Porous Media - Convection-driven cooling in porous media influences thermo-poro-mechanical stresses, thereby causing deformation. These processes are strongly influenced by the...  相似文献   

12.
Summary Although the phenomenon of effective stresses was known for a long time, the theoretical foundation has remained unsatisfactory until now. Due to new experimental and theoretical findings in the porous media theory, the concept of effective stresses will be reexamined. This is necessary for porous media such as concrete and rock which show at high pressure a significant deviation of the real effective stresses from those calculated with von Terzaghi's concept due to the compressibility of the true material. A second feature of the present paper is the investigation of the effective stress principle in unsaturated porous media.Financial support provided by the Deutsche Forschungsgemeinschaft (DFG) and the Volkswagen-Stiftung is greatly appreciated.  相似文献   

13.
For a complete understanding of the complex theories in continuum mechanics, e.g., porous media theories, an extensive investigation of their historical development is helpful. Indeed, it was first with activities in this field that fundamental effects in saturated porous solids, e.g., uplift, friction, capillarity, and the effect of effective stresses, could be clarified.The theory of porous media was pioneered by Reinhard Woltman in 1794 when he introduced the concept of volume fractions. Last century, important contributions were published by Adolf Fick, Henry Darcy, and Josef Stefan.In the twentieth century, the scientific discussion on porous media theories was started by Paul Fillunger in 1913 in a paper about the uplift problem in saturated rigid porous solids. In subsequent papers, he investigated the effects of friction and capillarity and discovered the effect of effective stresses. In 1923 Karl von Terzaghi, founder of modern soil mechanics, started his investigations on saturated deformable porous solids within the framework of the calculation of the permeability coefficient of clay. For the derivation of his famous differential equation, he formulated a linear constitutive relation between the increments of the porosity and the effective stresses. In 1936, Paul Fillunger founded the concept of the modern theory of liquid-saturated porous solids. However, his findings are almost completely forgotten.Today, two important directions of the porous media theory are commonly acknowledged. The first one is based on investigations by Maurice Biot, the second one proceeds from the mixture theory, extended by the concept of volume fractions.Currently on sabbatical leave at the University of California, Los Angeles (UCLA).  相似文献   

14.
多孔介质平板通道强迫对流中热局部非平衡时的热应力   总被引:3,自引:2,他引:1  
根据微观不可压饱和多孔介质热-力-流相互作用的一般理论,在固相骨架小变形的假定下,考虑固相和流相相互作用的粘性耗散,研究了多孔介质平板通道强迫对流热局部非平衡的热应力问题.建立了问题的热-力数学模型,根据饱和多孔介质的平衡方程,在固相骨架只存在横向位移的假定下,求解了固相骨架的位移和相应的热应力,数值考察了各种物性参数对热应力分布的影响,讨论了热局部平衡模型的适用性.  相似文献   

15.
As the temperature of a saturated porous medium drops, the water in the pores starts to freeze. Since the temperature at which the phase change takes place is dependent on the pore size, the permeability of the medium changes continuously. Simultaneously, due to the expansion of water on freezing, it is forced to migrate through the pore body thus inducing stresses in material matrix. The stresses developed and the consequent frost damage are therefore dependent on the change in the permeability characteristics of the medium on freezing. This paper deals with the numerical prediction of permeability characteristics of porous cemented media saturated with water undergoing progressive freezing.A bond percolation model is used to generate the pore structure according to an assumed poresize distribution. Permeability of the medium at various temperatures is computed by solving the network problem. The computed results are compared with other analytical and experimental results. The proposed model predicts a threshold temperature below which permeability drops to zero. This phenomenon is crucial in developing a deeper understanding of the mechanism of frost damage to cemented porous materials such as bricks, stone, concrete, etc.  相似文献   

16.
FINITE ELEMENT ANALYSIS OF WAVE PROPAGATION IN FLUID-SATURATED POROUS MEDIA   总被引:2,自引:0,他引:2  
Thedynamictransientresponseanalysisofporousmediaplaysaveryimportantroleinalotofengineeringpracticessuchastransientconsolidation,noisecontrol,earthquakeengineeringandbioengineering.Biot[1]originallydiscussedthewavepropagationprobleminfluid_saturatedpo…  相似文献   

17.
The principles of the theory of long-term damage based on the mechanics of stochastically inhomogeneous media are set out. The process of damage is modeled as randomly dispersed micropores resulting from the destruction of microvolumes. A failure criterion for a single microvolume is associated with its long-term strength dependent on the relationship of the time to brittle failure and the difference between the equivalent stress and the Huber-von Mises failure stress, which is assumed to be a random function of coordinates. The stochastic elasticity equations for porous media are used to determine the effective moduli and the stress-strain state of microdamaged materials. The porosity balance equation is derived in finite-time and differential-time forms for given macrostresses or macrostrains and arbitrary time using the properties of the distribution function and the ergodicity of the random field of short-term strength as well as the dependence of the time to brittle failure on the stress state and the short-term strength. The macrostress-macrostrain relationship and the porosity balance equation describe the coupled processes of deformation and long-term damage __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 2, pp. 108–121, February 2007. For the centenary of the birth of G. N. Savin.  相似文献   

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