Visualization of the complex structure and stress field inside rock by means of 3D printing technology

Accurate characterization and visualization of the complex inner structure and stress distribution of rocks are of vital significance to solve a variety of underground engineering problems. In this paper, we incorporate several advanced technologies, such as CT scan, three-dimensional（3D） reconstruction, and 3D printing, to produce a physical model representing the natural coal rock that inherently contains complex fractures or joints. We employ 3D frozen stress and photoelastic technologies to characterize and visualize the stress distribution within the fractured rock under uniaxial compression. The 3D printed model presents the fracture structures identical to those of the natural prototype. The mechanical properties of the printed model,including uniaxial compression strength, elastic modulus,and Poisson’s ratio, are testified to be similar to those of the prototype coal rock. The frozen stress and photoelastic tests show that the location of stress concentration and the stress gradient around the discontinuous fractures are in good agreement with the numerical predictions of the real coalsample. The proposed method appears to be capable of visually quantifying the influences of discontinuous,irregular fractures on the strength, deformation, and stress concentration of coal rock. The method of incorporating3 D printing and frozen stress technologies shows a promising way to quantify and visualize the complex fracture structures and their influences on 3D stress distribution of underground rocks, which can also be used to verify numerical simulations.     

Structural phase transition and metallization in compressed SrC_2

The structural, dynamical, and electronic properties of compressed Sr C2 were systematically investigated up to 200 GPa by using ab initio method. Three new phases are obtained by means of evolutionary algorithm. The confirmed most stable structure has C2/c symmetry at zero pressure, which transforms into an orthorhombic Cmcm phase at 4.5 GPa, followed by another orthorhombic Immm phase, which is stabilized at wide pressure range of 21.5–123.5 GPa, and then transformed into Mg B2-type phase（space group, P6/mmm）. Although Sr C2 has similar structural transformation to that of compressed Ca C2, Sr C2 holds small electron–phonon coupling,which leads to its low superconducting critical temperature（only 1.8 K）.     

Compression behavior of Sm）2Ti2O7-pyrochlore up to 50 GPa：single-crystal X-ray diffraction and density functional theory calculations

Single-crystal X-ray diffraction at pressures up to 50 GPa has been employed to study the compression behavior of Sm2Ti2O7-pyrochlore. In contrast to earlier reports, we observed no pressure-induced amorphization or pressure-induced anion disorder up to 50 GPa. The experimental study has been complemented by density functional theory-based calculations. A combination of the theoretical and experimental data yields a bulk modulus of 185 GPa, significantly higher than a value which had been reported earlier. In comparison to earlier work, the current study provides more reliable data due to the use of neon as a pressure medium, which provides a more hydrostatic pressure than the aluminum, which had been employed as a pressure medium in the earlier studies. An analysis of the compressibility of Al2B2O7 pyrochlores shows an approximately linear dependence of the bulk modulus on the unit cell volume.     

Symm积分方程的快速Fourier配置法

采用快速Fourier配置法求解Symm积分方程.首先,根据配置法求解Symm积分方程离散化得到稠密矩阵.其次,提出相应的矩阵截断策略,将稠密矩阵压缩成稀疏矩阵.最后,求解方程组得到近似解珘un.在保持收敛阶的前提下,大大减少了计算量.     

三阶非线性常微分方程组三点边值问题的正解

研究一类三阶非线性常微分方程组三点边值问题,在满足假设条件下,利用锥拉伸压缩不动点定理得到了当f和g满足超线性或次线性时边值问题一个正解存在的充分条件.     

基于结构化压缩感知方法的管道检测应用研究

根据压缩感知(CS)理论及管道泄漏信号特征,提出管道泄漏信号结构化测量矩阵部分重构(SRMPR)的压缩采样和检测定位方法。该方法以远低于Nyquist采样率对管道泄漏信号同步实现压缩采样,并在部分重构过程中实现泄漏检测定位。与传统相关定位法的仿真实验比较的结果表明,当信号长度为4096时,SRMPR方法比传统相关定位方法精确度提高0.34%;当压缩采样比为5%时,重构信噪比达到30.44dB。本文所提方法能够重构管道泄漏信号重要特征,具有可行性和有效性,可以满足管道泄漏信号实时检测定位的需求。     

渐近伪压缩型映象迭代序列的强收敛定理

在没有任何有界条件下建立了渐近伪压缩型映象带混合型误差修改的Ishikawa和Mann迭代序列收敛到不动点的充要条件,所得结果本质推广和改进了有关文献中的相关结果.     

Zr基非晶合金准静态压缩下的多重剪切带行为

利用IUTM和SEM研究了Zr-Ti-Ni-Cu块状非晶合金的准静态单轴压缩变形和断裂行为. 研究表明:该合金的室温压缩变形过程主要表现为弹性和塑性变形,塑性变形阶段没有加工硬化现象. 在准静态压缩条件下Zr基非晶合金表现出多重剪切效应,提高了塑性. 微观研究证明,剪切带的滑移分枝与相互交叉是非晶合金塑性提高的主要机制. 沿着剪切带发现了微空洞和微裂纹,剪切带的形成与自由体积的合并有关. 塑性变形过程中形成脉纹状断口形貌,受力状态的不同脉状花纹表现为不同的形式.     

具非连续收获策略的Gilpin-Ayala竞争系统周期解的存在性（英文）

考虑非连续收获策略对Gilpin-Ayala竞争系统动力学的影响,本文提出了下面带有非连续收获策略的n维时滞Gilpin-Ayala竞争系统.n dx∞i(t)=x)[bt,s)]-εdti(ti(t)-∑i(t)hi(xi(t))xi(t),i=1,2,…,n.j=∫xθij j(t-s)dsKij(10利用集值映射的锥拉伸压缩不动点定理,获得了这个竞争系统的正周期解存在的充分条件.     

LCS在多步学习问题中的规则集压缩算法

为了解决学习分类元系统(LCSs)应用于多步学习问题时会生成规模庞大、冗余的规则集问题,提出了一种规则集压缩算法.该算法的处理过程包含三个阶段:a.通过特殊的遗传进化操作,在删除一些较弱分类元的同时,增加规则集里泛化能力较强、适应值较高的分类元的个体数目;b.进行冲突消解,消除规则集里相互重叠、相互冲突的分类元;c.对产生的无重叠无冲突的规则集,进行大幅度压缩处理,得出最终的精简规则集.实验结果表明:所提算法能够在几乎不降低系统整体性能的前提下,将规则集极大地约简和压缩,从而产生足够小的规则集,使LCSs的知识表示的冗余度减少,凸显了规则集的易解释、易操作等特性;提高了LCSs在多步学习问题中的应用效果,拓展了其应用范围.