【摘要】：為定量描述砂土的細(xì)觀組構(gòu),基于非球形顆粒空間排列的數(shù)率統(tǒng)計規(guī)律及其組構(gòu)理論定義,推導(dǎo)了新的土體三維組構(gòu)定量描述公式。將非球形顆粒長軸方向在三維空間的方向分量用2個獨立變化的角度描述,顆粒長軸方向在3個正交面上的方向分量就可用這2個角度定量計算,計算公式即為3個正交面上組構(gòu)的各向異性幅值的表達(dá)式。基于數(shù)學(xué)概率統(tǒng)計方法,顆粒的離散特性用幅值計算公式轉(zhuǎn)化為組構(gòu)特性在平面上的可測參量,3個幅值參量中獨立變化量只有2個,用任意2個幅值可以推導(dǎo)出三維空間組構(gòu)的正交各向異性表達(dá)式。結(jié)果表明:隨細(xì)觀顆粒幾何物理特性的變化,該組構(gòu)三維表達(dá)式可以自然描述材料的各向同性、橫觀各向同性和正交各向異性,正交各向異性組構(gòu)可以用1個或者2個標(biāo)量參數(shù)描述;考慮非球形顆粒的三維空間排列幾何關(guān)系,該組構(gòu)可以描述土體顆粒幾何尺寸對組構(gòu)的影響,克服了現(xiàn)有組構(gòu)的諸多不足;幾種特殊非球形顆粒排列組構(gòu)的分析表明該組構(gòu)表達(dá)式具有描述范圍廣、物理意義清晰的特點。
[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.
【作者單位】： 寧夏大學(xué)固體力學(xué)研究所;維也納自然資源與生命科學(xué)大學(xué)巖土工程研究所;
【基金】：國家自然科學(xué)基金項目(5168050) 寧夏自然科學(xué)基金重點項目(NZ13001) 寧夏科技支撐國際合作專項(2013)
【分類號】：U414
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本文編號：2514108