裂隙的工程地质调查与损伤效应

本文将岩体中的宏观裂隙体视为岩体的一种初始损伤，给出了岩体的各向异性宏观损伤张量与裂隙间断位移引起的损伤应变张量，建立了以岩体体平均应力应变为基本变量的等效连续模型。同时，还讨论了如何通过现场工程地质调查，以获取确定岩体宏观损伤性质的工程地质信息。     

基于张量分解融合RGB-D图像的物体识别

为了充分利用RGB-D图像的深度图像信息，提出了基于张量分解的物体识别方法。首先将RGB-D图像构造成一个四阶张量，然后将该四阶张量分解为一个核心张量和四个因子矩阵，再利用相应的因子矩阵将原张量进行投影，获得融合后的RGB-D数据，最后输入到卷积神经网络中进行识别。RGB-D数据集中三组相似物体的识别结果表明，利用张量分解融合RGB-D图像的物体识别准确率高于未采用张量分解的物体识别准确率，并且单一错分实例的准确率最高可提升99%。     

Language acceptability of finite automata based on theory of semi‐tensor product of matrices

Using the theories of many‐valued logic and semi‐tensor product of matrices (STP), this paper investigates how to mathematically determine whether or not a regular language is recognized by finite automata (FA). To this end, the dynamic behaviour of FA is first formulated as bilinear dynamic equations, which provides a uniform model for deterministic and non‐deterministic FA. Based on the bilinear model, the recognition power of FA understanding of regular languages is investigated and several algebraic criteria are obtained. With the algebraic criteria, to judge whether a regular sentence is accepted by a FA or not, one only needs to calculate an STP of some vectors, rather than making the sentence run over the machine as traditional manners. Further, the inverse problem of recognition is considered, an algorithm is developed that can mathematically construct all the accepted sentences for a given FA. The algebraic approach of this paper may be a new angle and means to understand and analyse the dynamics of FA.     

A finite deformation constitutive model for shape memory polymers based on Hencky strain

In many engineering applications, shape memory polymers (SMPs) usually undergo arbitrary thermomechanical loadings at finite deformation. Thus, development of 3D constitutive models for SMPs within the finite deformation regime has attracted a great deal of interest. In this paper, based on the classical framework of thermodynamics of irreversible processes, employing the logarithmic (or Hencky) strain as a more physical measure of strain, a 3D large-strain macromechanical model is presented. In the constitutive model development, we adopt a multiplicative decomposition of the deformation gradient into elastic and stored parts. In addition, employing the averaging scheme, the logarithmic elastic strain tensor is decomposed into the rubbery and glassy parts. The evolution equations for internal variables are introduced for both cooling and heating processes. The time-discrete form of the proposed model in the implicit form is also presented. Comparing the predicted results with experimental data reported in the literature, the model is validated. Finally, using the finite element method, two boundary value problems e.g., a 3D beam and a medical stent made of SMPs are numerically simulated.     

Modified Eshelby tensor for an ellipsoidal inclusion imperfectly embedded in an infinite piezoelectric medium

The modified Eshelby tensor for predicting the effective moduli of particle-reinforced piezoelectric composites is derived for the problem of an ellipsoidal inclusion which is imperfectly bonded to the matrix. A linear interface relation is adopted, which involves discontinuities of the mechanical displacements and electric potential across the interface, and assumes that the corresponding jumps are proportional to the continuous stresses and electric displacements at the interface. The piezoelectric field induced by a uniform eigenstrain given only in the inclusion is deduced analytically. As the induced piezoelectric field is no longer uniform, the average strains and electric displacements are calculated, and the modified piezoelectric Eshelby tensor is evaluated by both an iterative method and a direct method. By comparison, it is shown that the iterative method yields rapidly convergent results.     

Comments on the article ‘Comparison of calculations for interplanar distances in a crystal lattice’, by Ying Liu,Yue Liu & Michael G. B. Drew

Some statements in the review by Liu et al. [Liu Y, Liu Y, Drew GB. Comparison of calculations for interplanar distances in a crystal lattice. Cryst Rev. 2017] are corrected. The role of metric tensor to simplify calculations of interplanar spacings in crystal lattices is emphasized.     

Research on methods of defect classification based on metal magnetic memory

Metal magnetic memory (MMM) technique can evaluate early damages of ferromagnets and search possible defect locations, while just classifies the defect types roughly. To promote study in this area, the magnetic gradient tensor (MGT) of the self-magnetic leakage field (SMLF) on the fracture zone of crack and stress concentration was measured using a tri-axis magnetometer. From measured results, both the plane and the vertical characteristics of SMLF distributions were discussed. To remove the influence of the measuring direction on experimental results, a new parameter of the analytical signal of magnetic gradient tensor (AMGT) was introduced to determine the location and boundary of the defect. Then, the vertical features were acquired by measuring the plane distributions of AMGT under different lift offs. Through analyzing the vertical features, it was concluded that change rule of the maximum AMGT can be used to predict the defect type. At last, the explanation of the relationship between the vertical feature and the defect type was discussed, which can give some useful inspirations to researchers on magnetic leakage field testing.     

Structure tensor coherence computation method of seismic data

在研究前三代地震相干算法的基础上，提出了一种基于地震数据结构张量的相干属性计算方法和流程。该方法将地震数据瞬时相位作为数据输入，利用复地震道数据信息对地震数据结构张量的偏导数求取进行平滑处理，较好地解决了由于地震资料中噪声的存在而产生的计算不稳定性，且利用纵、横向的瞬时波数计算可以得到地震数据的视倾角和方位角属性体。实际三维地震数据的计算结果验证了地震数据结构张量相干计算方法的有效性，计算出的相干属性体分辨率更高，断层的展布形态更清晰。     

梯度结构张量分析法在三维地震资料河道砂体预测中的应用

梯度结构张量分析是近年来引入地震解释领域的一种新的属性分析方法,可用于识别地震数据体中的具有不同纹理特征的沉积地貌单元。在地震剖面上,河道沉积充填模式主要有上超充填、侧向加积、复合充填及杂乱和无反射充填等类型;从图像纹理角度来看,前３种表现为弯曲层状纹理,后２种则为杂乱纹理。以四川盆地北部Ｘ地区下侏罗统河流相储层为例,对三维地震数据体开展梯度结构张量分析,提取反映河道纹理特征的各向异性参数,通过地层切片刻画河道地貌单元的形态和空间展布特征,取得了满意效果。与常规方法提取的相干及几何属性比较,该方法的抗噪性更好,对河道等沉积地貌单元的反映更为灵敏。