关于非局部场论的几个新观点及其在断裂力学中的应用(Ⅰ)──基本理论部分

在线性非局部弹性理论中,具有均匀常应力边界的裂纹混合边界值问题的解是不存在的.本文从非局部场论的基本理论出发针对这一问题进行了研究.内容包括:对非局部能量守恒定律的客观性的考察,非局部热弹性体本构方程的推导,非局部体力的确定以及线性化理论,得到了一些新结果.其中,在线性化理论中所推出的应力边界条件不仅解决了本摘要开头所提到的问题,而且自然地包括了Barenblatt裂纹尖端的分子内聚力模型.     

NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

I.Intr0ductionNonlocallinearelasticitytheoryisp0ssible0fbuildingthebridgebetweenmicrostructuresofmaterialsandtheirmacrosc0picmechanicsbehaviorsduet0consideringthelong-rangeforcesamongmicroscopicparticles.SincenonIocalfieldtheorywasadvanced,aseriesresultsl…     

Trans-cis isomerization of 4-(2-(9-anthryl)vinyl) pyridine.Molecular structures and ~1H NMR kinetic studies

Both cis- and trans-isomers of 4-(2-(9-anthryl)vinyl)pyridine were isolated and their molecular structures established by X-ray crystallographic method. Variable temperature 1H NMR spectroscopy was used to study the trans to cis isomerization of the title compound. The kinetic study of the reaction was based on the ratio of the NMR integration heights in toluene-d8 of the double doublet due to the cis-isomer at δ 8.51 to that of the multiplet at δ 8. 15 which was kept constant during the whole experiment. The isomerization process was found to be first order and the Arrhenius activation parameters Ea , In A ,△ H≠ and △ S≠ were calculated as 27.84kJ/mol, 6.71, 25.23 kJ/mol and - 197.89 J/(K·mol) , respectively. Besides,conformational analyses of both compounds based on molecular modelling were carried out and the results were used to compare with the experimental data.     

裂纹面受剪力作用的板的应力强度因子

考虑一个在ξ-η平面内一等厚度(厚度为h)的无限大板,在η=0,|ξ|≤a处有一条裂纹,如图1所示。在裂纹表面承受单位长度的剪力Q。为了方便,引入无量纲坐标,x=ξ/a,y=η/a。本文参照Wang解含裂纹板受扭的方法,采用了计及横向剪切变形影响的Reissner的薄板弯曲理论。根据该理论,需要求解挠曲函数w(x,y)的四阶偏微分方程(对于本题是双调和方程)和应力     

型材中孔边应力集中计算法

本文应用分区广义变分原理[1],提出了求解含圆孔的型材应力集中的计算方法。并对角材和槽型材中含有圆孔的应力集中系数进行了数值计算,计算结果绘成了曲线。