The scattering of harmonic elastic anti-plane shear waves by two collinear cracks in the piezoelectric plate by using the non-local theory

In this paper, the dynamic interaction between two collinear cracks in a piezoelectric material plate under anti-plane shear waves is investigated by using the non-local theory for impermeable crack surface conditions. By using the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations. These equations are solved using the Schmidt method. This method is more reasonable and more appropriate. Unlike the classical elasticity solution, it is found that no stress and electric displacement singularity is present at the crack tip. The non-local dynamic elastic solutions yield a finite hoop stress at the crack tip, thus allowing for a fracture criterion based on the maximum dynamic stress hypothesis. The project supported by the Natural Science Foundation of Heilongjiang Province and the National Natural Science Foundation of China(10172030, 50232030)     

INVESTIGATION OF BEHAVIOR OF MODE-I INTERFACE CRACK IN PIEZOELECTRIC MATERIALS BY USING SCHMIDT METHOD

The behavior of a Mode-Ⅰinterface crack in piezoelectric materials was investigated under the assumptions that the effect of the crack surface overlapping very near the crack tips was negligible. By use of the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations. To solve the dual integral equations, the jumps of the displacements across the crack surfaces were expanded in a series of Jacobi polynomials. It is found that the stress and the electric displacement singularities of the present interface crack solution are the same as ones of the ordinary crack in homogenous materials. The solution of the present paper can be returned to the exact solution when the upper half plane material is the same as the lower half plane material.     

INVESTIGATION OF THE DYNAMIC BEHAVIOR OF TWO COLLINEAR ANTI-PLANE SHEAR CRACKS IN A PIEZOELECTRIC LAYER BONDED TO TWO HALF SPACES BY A NEW METOHD

IntroductionItiswell_knownthatpiezoelectricmaterialsproduceanelectricfieldwhendeformedandundergodeformationwhensubjectedtoanelectricfield .Thecouplingnatureofpiezoelectricmaterialshasattractedwideapplicationsinelectro_mechanicalandelectricdevices,suchaselectro_mechanicalactuators,sensorsandstructures.Whensubjectedtomechanicalandelectricalloadsinservice,thesepiezoelectricmaterialscanfailprematurelyduetodefects,e .g .,cracks,holds,etc.arisingduringtheirmanufactureprocess.Therefore,itisofgreatimp…     

A THEORETICAL MODELLING OF THE CHAIN STRUCTURE FORMATION IN ELECTRORHEOLOGICAL FLUIDS

IntroductionAnelectrorheological (ER)fluidconsistsofasuspensionoffineparticlesinaliquidoflowdielectricconstantandlowviscosity .Itsapparentviscosityincreasesdramaticallyinthepresenceofanappliedelectricfield .Iftheelectricfieldexceedsacriticalvalue,theERfluidturnsintoasolidwhoseyieldstressincreasesasthefieldisfurtherstrengthened .Thisphenomenoniscompletelyreversible .Uponelectricfieldcutoff,thesystemalmostimmediatelyresumesitsoriginalliquidstate .Thetimescaleforthetransitionisoftheorderofmill…     

T-STRESS IN PIEZOELECTRIC SOLID

The non-singular and bounded terms for stresses near the crack tip were investigated. The crack problem in a transversely isotropic piezoelectric solid for the plane problem was dealt with. The principle of superposition and the Plemelj formulation were introduced. The non-singular terms are given by solving Rieman-Hilbert problem. It is shown that the non-singular terms are influenced by the elastic and electric constants.     

含有随机夹杂的统计非均匀弹性介质参数的分析

本文提出了随机点场理论用于研究含有随机夹杂的统计非均匀介质。本文不同于其它作者,一般均将随机理论建立在Eshelby的等效夹杂原理之上,而这里是建立在Kunin的微结构理论基础之上。作为理论的一个应用,本文对复合材料的有效模量及夹杂内部及周围微观场进行了计算。     

微小型四旋翼无人机自主着陆视觉系统研究

以实现微小型四旋翼无人机依靠视觉信息完成自主着陆为目的,采用TI公司DM3730芯片作为核心处理器,构建一套自主着陆视觉导引信息处理系统;充分考虑了视觉系统的特点,选用小巧、便携、合理的实验硬件,通过对图像的前期处理,采用相对简单的视觉处理算法,识别出着陆标识,通过解算得到着陆信息并完成飞行器的自主着陆过程;实验结果表明,系统较为可靠,在常规条件下,该系统能够有效识别人工着陆标识,准确解算出着陆标识与飞行器的相对位置信息用于自主着陆导引。     

变分法在含边裂纹正交各向异性板中的应用

文中给出了含边裂纹正交各向异性板问题的特征函数展开式，然后利用变分法及边值条件确定展开式中的未知系数，从而可求得裂端应力强度因子。该方法即可应用于应力边界值和位移边界值问题，又适应混合边界值问题。数值计算结果证实了该方法的有效性。     

TWO-DIMENSIONAL ELECTROELASTIC FUNDAMENTAL SOLUTIONS FOR GENERAL ANISOTROPIC PIEZOELECTRIC MEDIA

I.IntroductionDuetotheirintrinsiccouplingeffectbetweenmechanicalandelectricalfields,piezoelectricmaterialshavebeenwidelyusedintechnologyastransducersandsensorsand,morerecently,asactuatorsinsmartstructures.lnordertooptimizetheirmicrostructuresandunderstand…