关于各向异性纤维复合材料板Ⅰ型,Ⅱ型裂纹尖端的应变能释放率

研究各向异性纤维复合材料板的断裂问题 ,首先分两种情况给出了I型 ,II型裂纹尖端的应力与位移公式 .其次将应力与位移代入应变能释放率的基本公式 ,推出了I型 ,II型裂纹尖端应变能释放率的具体计算公式     

复合材料单向板裂纹尖端的应变能释放率

本文通过将裂纹尖端应力和位移代入应变能释放率的一般公式,推出了线弹性正交异性复合材料单向板非弹性主方向在对称载荷作用下的裂纹尖端应变能释放率的计算公式,给出了相应的应变能释放率断裂判据。作为特例,得到了Ⅰ型裂纹尖端应变能释放率的计算公式和断裂判据。     

双材料界面裂纹的能量释放率分析

利用J积分得到了一般条件下双材料界面裂纹的能量释放率(SERR),并按照裂纹尖端法向应力为0和Ⅰ和Ⅱ型耦合量JⅠ,Ⅱ为0的条件得到了应变能量释放率的Ⅰ型和Ⅱ型分量.其应变能量释放率分解的结果表明,轴力和弯矩都会产生Ⅰ型和Ⅱ型应变能量释放率分量.     

复合材料断裂中的一类偏微分方程边值问题

将正交异性、各向异性纤维复合材料平面断裂问题中的Ⅰ型、Ⅱ型、Ⅰ+Ⅱ型、Ⅲ型裂纹以及受纯弯、受纯扭、受弯扭裂纹的探讨归结为求解一类(14个)偏微分方程的边值问题。在此基础上采用复变函数方法可以求出上述各型裂纹尖端附近的断裂力学重要参量:应力、应变、位移等。     

各向异性复合材料板混合型裂纹尖端的J-积分

利用叠加原理,将各向异性纤维复合材料单层板混合型裂纹尖端的力学模型-偏微分方程的边值问题化为Ⅰ型和Ⅱ型两个边值问题求解,应用复变函数公式,得到裂纹尖端的应力场和位移场的复形式,将其代入J-积分的一般公式,推出了各向异性纤维复合材料单层板混合型裂纹尖端J-积分的复形式--复变函数积分的实部,再利用柯西-古萨基本定理证明了该J-积分的路径无关性,进而利用柯西积分公式得到它的具体计算公式.     

关于各向异性复合材料板裂纹尖端应变场与位移场的探讨

采用复变函数方法推出了各向异性复合材料板的Ⅰ型、Ⅱ型裂纹尖端附近的应变场与位移场的计算公式。     

关于各向异性纤维复合材料板裂纹尖端应力场的探讨

本文对各向异性纤维复合材料板的Ⅰ型、Ⅱ型和混合型裂纹尖端应力场进行了有关的力学分析。通过求解一类线性偏微分方程的边值问题推出了Ⅰ型、Ⅱ型和混合型裂纹尖端附近的应力场的计算公式。     

Ⅱ型动态扩展裂纹尖端的应变损伤场

采用塑性动力学方程,对Ⅱ型裂纹尖端的动态损伤场进行了渐近分析,给出了平面应变情况下的本构方程。位移、应力、应变被用对数系列展开,因此揭示了场的渐近特性。结果表明:在裂纹尖端附近,应力和应变分别具有如下的对数奇异性:     

双材料混合型界面裂纹尖端应力场、位移场

研究了正交异性双材料中心穿透界面裂纹问题。在特征方程组的判别式都小于零的情形下,求解一类广义重调和方程组边值问题,通过构造新的应力函数,推出了Ⅰ型、Ⅱ型、混合型界面裂纹尖端的应力场、位移场及应力强度因子的解析表达式。其结果没有振荡奇异性及裂纹面没有相互嵌入现象,当上下半平面材料参数相同时,可获得正交异性单材料的应力场、位移场。     

混合型应力强度因子的光弹性多参数测定

提高裂纹尖端应力强度因子值的计算精度,对于准确分析受力结构的起裂条件和破坏模式具有重要意义.本文采用3D打印技术获得了不含残余应力的平板模型,高精度打印预置裂纹避免了传统加工过程产生残余应力的缺点;综合考虑奇异场和非奇异场对裂纹尖端区域应力场的影响,引入远场边界控制的三个常数项应力,提出了光弹性多参数法;采用三点弯曲试验,运用最小二乘法计算了不同载荷下纯 Ⅰ 型和 Ⅰ-Ⅱ 混合型应力强度因子值,并与理论解对比分析.结果表明:对于纯Ⅰ 型应力强度因子,计算结果的平均误差为6.1%,对于 Ⅰ-Ⅱ 混合型应力强度因子,计算结果的平均误差分别为6.4%和5.5%,多参数法与理论解相比较小的计算误差验证了该方法的可靠性和准确性,可为精确计算应力强度因子的光弹性实验研究提供借鉴.     

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     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

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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