关于弹性力学空间问题的位移函数的补充说明

文献[1]中引用了R.Muki在1960年用过的两个位移函数Φ,ψ([1]中称它们为应力函数,确切地说应称为位移函数)。[1]发表后,笔者才发觉,早在1953年,胡海昌同志就得到了这两个位移函数。当时胡海昌同志是针对横观各向同性体得到的,这当然包括各向同性体在内。在各向同性的特殊情形,胡海昌同志的解是:在笛卡尔坐标系中     

对偶积分方程与对偶积分方程组及其在固体力学与流体力学中的某些应用

本文首先简要地介绍了文献[1、2]关于对偶积分方程的解,在某些实际问题中,出现的是更为复杂的时偶积分方程组。在文献[1、2]的启发下,我们把这种积分方程组化成复数域上的一般函数方程组,并且由此给出形式解。然后介绍我们用上述两种理论计算得到的固体力学与流体力学中某些混合边值问题的实例,其中出现的对偶积分方程组,用本文建议的方法,得到了精确解。     

Plastic analysis of the crack problem in two-dimensional decagonal Al-Ni-Co quasicrystalline materials of point group 10,10

The fundamental plastic nature of the quasicrystalline materials remains an open problem due to its essential complicacy. By developing the proposed generalized cohesive force model, the plastic deformation of crack in point group 10, 10 decagonal quasicrystals is analysed strictly and systematically. The crack tip opening displacement （CTOD） and the size of the plastic zone around the crack tip are determined exactly. The quantity of the crack tip opening displacement can be used as a parameter of nonlinear fracture mechanics of quasicrystalline material. In addition, the present work may provide a way for the plastic analysis of quasicrystals.     

Nucleation of Micro Crack for Brittle Fracture in Magnetic Field

The nature of spin-state phase transition is investigated with [Fe（C4H4N2）{Pt（CN）4}] that is a novel 3D Hofmann—like compound. The bistability of this system is obtained by the first-principles calculation. It is demonstrated that thermal expansion is the intrinsic force involved in spin-state transition. Based on these results, we suggest a thermal exciting bistable model of spin-state transition with a temperature dependent crystal-field splitting （CFS）. Experimental evidence of spin-state phase transition coincides with our theoretical model. This model approaches something fundamental in the mechanism leading to the transition, and it is important in developing new and practical controllable quantum devices.     

有限变形弹性体J积分守恒及其对偶形式

基于势能原理与余能原理的对偶关系,给出了有限变形弹性体的J积分形式及其对偶形式,并在弹塑性有限变形的前提下给出其路径守恒的证明.