Non‐normality and induced plastic anisotropy under fractional plastic flow rule: a numerical study

In this paper, an implementation of fractional plastic flow rule in the framework of implicit and explicit procedures is under consideration. The fractional plastic flow rule is obtained from a generalisation of the classical plastic flow rule utilising fractional calculus. The key feature of this new concept is that in general, the non‐associative flow is obtained without necessity of additional potential assumption. If needed, the model can cover the anisotropy induced by plastic deformation. Illustrative examples showing the unusual flexibility of this model are also presented. Copyright © 2015 John Wiley & Sons, Ltd.     

A local solution for deterministic and stochastic transport equations

A local method is developed for finding the hydraulic head at an arbitrary point of a soil deposit with conductivity varying randomly in space. The method is said to be local since it delivers the hydraulic head at an arbitrary point of a soil deposit directly rather than extracting it from a field solution. The local method always converges to the exact solution, is ideal for parallel computation, and is simple to implement. The method is applied to solve locally one-dimensional transport equations with mixed boundary conditions, calculate corresponding effective conductivity, and examine size effect in specimens with hydraulic conductivity varying randomly in space.     

绿春大马尖山铜砷矿矿床成因

矿体赋存于下志留统变质砂板岩及侵入其中的石英斑岩中,与燕山晚期构造运动及岩浆活动有关。水平及垂直分带明显。属低温热液硫化物充填—交代型铜砷矿。     

Elastic solutions of displacements for a transversely isotropic full space with inclined planes of symmetry subjected to a point load

This work presents analytical solutions for displacements caused by three‐dimensional point loads in a transversely isotropic full space, in which transversely isotropic planes are inclined with respect to the horizontal loading surface. In the derivation, the triple Fourier transforms are employed toyield integral expressions of Green's displacement; then, the triple inverse Fourier transforms and residue calculus are performed to integrate the contours. The solutions herein indicate that the displacements are governed by (1) the rotation of the transversely isotropic planes (?), (2) the type and degree of material anisotropy (E/E′, ν/ν′, G/G′), (3) the geometric position (r, φ, ξ) and (4) the types of loading (P_x, P_y, P_z). The solutions are identical to those of Liao and Wang (Int. J. Numer. Anal. Methods Geomechanics 1998; 22 (6):425–447) if the full space is homogeneous and linearly elastic and the transversely isotropic planes are parallel to the horizontal surface. Additionally, a series of parametric study is conducted to demonstrate the presented solutions, and to elucidate the effect of the aforementioned factors on the displacements. The results demonstrate that the displacements in the infinite isotropic/transversely isotropic rocks, subjected to three‐dimensional point loads could be easily determined using the proposed solutions. Also, these solutions could realistically imitate the actual stratum of loading situations in numerous areas of engineering. Copyright © 2007 John Wiley & Sons, Ltd.     

利用数值计算方法（Lagrange）研究伽师及邻近地区重力场变化特征

利用数值计算的方法（Lagrange）,结合近4期流动重力资料,分析伽师及邻近地区的重力场时空动态变化特征,初步研究了该区的重力变化与地震活动及构造的关系。结果表明：重力场变化与构造环境变化有关。在地震孕育过程中,重力场出现有规律的变化并伴随重力变化密集区,地震往往多发于重力场变化正负值交替的零线附近。     

实现1/n阶积分的分数阶数字积分器

设计了一类能实现1/n(n为整数)阶积分的分数阶数字积分器.介绍了该已存在的一阶数字积分器,将已有的一阶数字积分器通过Carlson-Newton迭代函数构造了类积分器所必须的两个步骤.该类分数阶数字积分器主要是基于Carlson-Newton迭代法和分数阶的数字积分器,从幅频上分析了该类数字积分器的性能.该类数字积分器能实现1/n阶的数字积分运算,在0.1n≤ω≤0.6π频域内能很好的逼近理想情况.     

粗粒土的分数阶应变率及其与分形维度的关系

在波浪荷载、潮汐作用下砂土等粗粒土常常经受长期动力变形。运用分数阶微积分理论,分析了5种不同粗粒土在不同加载条件下的累积变形特性及粗粒土的分数阶应变率,传统的整数阶应变率随着加载次数的变化而变化,而粗粒土的分数阶应变率在同一加载条件下保持为常数。通过粗粒土颗粒破碎的分形理论,尝试建立分数阶应变率与土颗粒分布的分形维度之间的关系,分析土体分形维度对分数阶应变率大小的影响,发现随着分形维度的增加,分数阶应变率的数值降低。