非对称Ⅲ型界面裂纹受变载荷作用下的解析解

采用复变函数论的方法,对非对称Ⅲ型界面裂纹的动态扩展问题进行了研究.通过自相似方法,并根据任意自相似指数的非对称动态扩展问题进行自相似求解,导出解析解的一般表达式.采用自相似函数的方法可以轻易地将所论问题转化为Riemann-Hilbert问题,并求得了扩展裂纹表面分别受到运动变载荷Px2/t2、Px作用下的位移、应力和动态应力强度因子的解析解.利用这些解并采用叠加原理,就可以求得任意复杂问题的解.这些解在断裂动力学以及弹性动力学、静力学问题当中具有重要的应用价值和理论意义.     

非对称Ⅰ型动态裂纹尖端后部区受均布载荷作用

通过复变函数论的方法,对非对称Ⅰ型裂纹尖端后部区受均布载荷作用下的动态扩展问题进行了研究。根据正交异性体弹性动力学平面问题运动方程的相应关系,采用自相似函数的方法可以获得解析解的一般表达式。应用该法可以很容易地将所讨论的问题转化为Riemann-Hilbert问题,而后一问题可以用通常的Muskhel-ishvili方法进行求解,并且可以相当简单地得到问题的闭合解。这些解在断裂动力学以及弹性动力学、静力学问题当中具有重要的应用价值和理论意义。     

非对称I型动态裂纹尖端后部区受均布载荷作用

通过复变函数论的方法,对非对称I型裂纹尖端后部区受均布载荷作用下的动态扩展问题进行了研究.根据正交异性体弹性动力学平面问题运动方程的相应关系,采用自相似函数的方法可以获得解析解的一般表达式.应用该法可以很容易地将所讨论的问题转化为Riemann-Hilbert问题,而后一问题可以用通常的Muskhel-ishvili 方法进行求解,并且可以相当简单地得到问题的闭合解.这些解在断裂动力学以及弹性动力学、静力学问题当中具有重要的应用价值和理论意义.     

均布载荷作用下Ⅲ型非对称裂纹动态扩展问题

为了研究均布载荷作用下的Ⅲ型非对称裂纹动态扩展问题,利用复变函数论方法,根据正交异性体弹性动力学反平面问题运动方程的相应关系,采用自相似函数的方法可以获得解析解的一般表达式。应用该法可以迅速地将所讨论的问题转化为Riemann-Hilbert问题,后一问题可以用通常的Muskhel-ishvili方法求解,并求得了应力、位移和动态应力强度因子解析解。利用这些解并采用叠加原理,就可以求得任意复杂问题的解。这些解在断裂动力学以及弹性动力学、静力学问题当中具有重要的应用价值和理论意义。     

不同复合材料界面上的扩展裂纹问题

采用复变函数论的方法，对不同复合材料界面上的裂纹扩展问题进行了研究，并根据任意的自相似指数的断裂动力学问题，对裂纹表面某点受阶截荷和集中载荷作用的问题进行了自相似求解，给出了该问题的解析表达式。应用该法可以迅速地将所研究问题转化为Riemann-Hilbert问题，然后利用Mskhelishvili方法进行求解，最后求得在不同载荷作用下该问题的闭合解析解答。     

双重载荷及冲击下Ⅰ型裂纹的位错分布函数

通过复变函数论的方法,对Ⅰ型动态裂纹面受双重载荷、瞬时冲击载荷作用下的位错分布函数问题分别进行研究.采用自相似函数的方法可以获得动态裂纹的位错分布函数的解析解.应用该法可以迅速地将所论问题转化为Riemann-Hilbert问题,并可以相当简单地得到问题的闭合解.     

不连续应力作用的Ⅰ型动态裂纹

针对研究材料特性下的裂纹动态扩展时遇到的不连续应力作用Ⅰ型动态裂纹扩展问题,利用复变函数理论的方法进行了研究.采用自相似函数的途径可以获得应力、位移及动态应力强度因子的解析解的一般表达式.应用该法可以很容易地将所讨论的问题转化为Riemann-Hilbert问题,而后一问题可以用通常的Muskhelishvili方法进行求解,并可以相当简单地得到问题的闭合解.利用这些解并采用叠加原理,可以求得任意复杂问题的解.     

Ⅰ型动态裂纹二个扩展问题的位错分布函数

通过复变函数论的方法,对Ⅰ型动态裂纹二个扩展问题的位错分布函数分别进行了研究.采用自相似函数的方法可以获得运动裂纹的应力、位移、动态应力强度因子及位错分布函数的解析表达式.应用该法可以迅速地将所讨论的问题转化为Riemann-Hilbert问题,而后一问题可以用通常的Muskhelishvili方法进行求解,并且可以相当简单地得到问题的闭合解.利用已求得的解并通过迭加原理,就可以很容易地求得任意复杂问题的解.     

Ⅲ型裂纹动态Dugdale模型的扩展问题

通过复变函数论的方法,对材料的非线性特性下的Ⅲ型裂纹Dugdale模型的动态扩展问题进行研究.采用自相似函数的方法可以获得应力、位移及裂纹尖端张开位移解析的解.应用该法可以很容易地将所讨论的问题转化为Riemann-Hilbert问题,而后一问题可以用通常的Muskhelishvili方法进行求解,并可以相当简单地得到问题的闭合解.利用这些解并采用叠加原理,就可以求得任意复杂问题的解.     

Ⅲ型非对称界面裂纹受运动变载荷作用下的解析解

通过复变函数论的方法,对Ⅲ型非对称界面裂纹受运动变载荷作用下的动态问题进行了研究。采用自相似函数的途径,通过相应的微分、积分运算容易地获得解析解的一般表达式。应用该法迅速地将所讨论的问题转化为Riemann-Hilbert问题,并求得了裂纹表面分别受到运动变载荷作用下应力、位移和动态应力强度因子的解析解。通过Muskhelishvili方法得到问题的闭合解。利用这些解以及叠加原理,求得了任意复杂问题的解。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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Brief Introduction to “Journal of Jilin University( Science Edition) ”

<正>"Journal of Jilin University(Science Edition)"is a comprehensive academic journal in the fields of science sponsored by Jilin University and administrated by the Ministry of Education of the Peoples Republic of China.The journal started publication in 1955.The original name at starting publication was"Journal of Natural Science of Northeast People University",which was changed into"Acta Scientiarum Naturalium Universitatis Jilinensis"in 1958 owing to the name change of the university.The present journal name has