考虑砂土颗粒形状的细观组构定量描述
发布时间：2019-07-13 16:00
【摘要】：为定量描述砂土的细观组构,基于非球形颗粒空间排列的数率统计规律及其组构理论定义,推导了新的土体三维组构定量描述公式。将非球形颗粒长轴方向在三维空间的方向分量用2个独立变化的角度描述,颗粒长轴方向在3个正交面上的方向分量就可用这2个角度定量计算,计算公式即为3个正交面上组构的各向异性幅值的表达式。基于数学概率统计方法,颗粒的离散特性用幅值计算公式转化为组构特性在平面上的可测参量,3个幅值参量中独立变化量只有2个,用任意2个幅值可以推导出三维空间组构的正交各向异性表达式。结果表明:随细观颗粒几何物理特性的变化,该组构三维表达式可以自然描述材料的各向同性、横观各向同性和正交各向异性,正交各向异性组构可以用1个或者2个标量参数描述;考虑非球形颗粒的三维空间排列几何关系,该组构可以描述土体颗粒几何尺寸对组构的影响,克服了现有组构的诸多不足;几种特殊非球形颗粒排列组构的分析表明该组构表达式具有描述范围广、物理意义清晰的特点。
[Abstract]:In order to quantitatively describe the meso-fabric of sandy soil, a new quantitative description formula of three-dimensional fabric of soil is derived based on the statistical law of number rate and its theoretical definition of spatial arrangement of non-spherical particles. The direction components of the long axis direction of non-spherical particles in three-dimensional space are described by two independent angles, and the direction components of the long axis direction of particles on three orthogonal planes can be quantitatively calculated by these two angles, and the formula is the expression of the anisotropy amplitude of the fabric on three orthogonal planes. Based on the mathematical probability and statistics method, the discrete characteristics of particles are transformed into the measured parameters of fabric characteristics on the plane by amplitude calculation formula, and only 2 of the three amplitude parameters are independent. The orthotropic expression of three-dimensional spatial fabric can be derived by using any two amplitudes. The results show that with the change of geometric and physical properties of meso-particles, the three-dimensional expression of the fabric can naturally describe the isotropism, transversely isotropism and orthotropic anisotropy of the material, and the orthotropic fabric can be described by one or two scalar parameters. Considering the three-dimensional spatial arrangement geometric relationship of non-spherical particles, the fabric can describe the influence of the geometric size of soil particles on the fabric and overcome many shortcomings of the existing fabric. The analysis of several special non-spherical particle arrangement fabrics shows that the fabric expression has the characteristics of wide description range and clear physical meaning.
【作者单位】： 宁夏大学固体力学研究所;维也纳自然资源与生命科学大学岩土工程研究所;
【基金】：国家自然科学基金项目(5168050) 宁夏自然科学基金重点项目(NZ13001) 宁夏科技支撑国际合作专项(2013)
【分类号】：U414
，
本文编号：2514108
[Abstract]:In order to quantitatively describe the meso-fabric of sandy soil, a new quantitative description formula of three-dimensional fabric of soil is derived based on the statistical law of number rate and its theoretical definition of spatial arrangement of non-spherical particles. The direction components of the long axis direction of non-spherical particles in three-dimensional space are described by two independent angles, and the direction components of the long axis direction of particles on three orthogonal planes can be quantitatively calculated by these two angles, and the formula is the expression of the anisotropy amplitude of the fabric on three orthogonal planes. Based on the mathematical probability and statistics method, the discrete characteristics of particles are transformed into the measured parameters of fabric characteristics on the plane by amplitude calculation formula, and only 2 of the three amplitude parameters are independent. The orthotropic expression of three-dimensional spatial fabric can be derived by using any two amplitudes. The results show that with the change of geometric and physical properties of meso-particles, the three-dimensional expression of the fabric can naturally describe the isotropism, transversely isotropism and orthotropic anisotropy of the material, and the orthotropic fabric can be described by one or two scalar parameters. Considering the three-dimensional spatial arrangement geometric relationship of non-spherical particles, the fabric can describe the influence of the geometric size of soil particles on the fabric and overcome many shortcomings of the existing fabric. The analysis of several special non-spherical particle arrangement fabrics shows that the fabric expression has the characteristics of wide description range and clear physical meaning.
【作者单位】： 宁夏大学固体力学研究所;维也纳自然资源与生命科学大学岩土工程研究所;
【基金】：国家自然科学基金项目(5168050) 宁夏自然科学基金重点项目(NZ13001) 宁夏科技支撑国际合作专项(2013)
【分类号】：U414
，
本文编号：2514108
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