Implementation of the finite deformation plastic theory-Tensor derivative and metal forging simulation

It has been shown that the traditional small deformation plasticity can be transplanted to the finite deformation plasticity by using the logarithmic strain measure only. In this way, the mathematical problem of how to find the derivative of a tensor function arises. In this paper, a general method for finding the derivative of a tensor function is proposed. Several metal forging examples are given.During the calculation, the mesh regeneration is not even invoked.     

Relations among gauge functions, metrics and Hausdorff measures

In this paper we discuss the relations among the doubling condition, equivalence of the Hausdorff measures and equivalence of metrics. We will show that H ρ,g1 and H ρ,g2 are equivalent for any compact metric space (X,ρ) if and only if g1 and g2 are equivalent gauge functions. Then, we prove that for given c∈(0,∞)＼{1}, H ρ,g and H cρ,g are equivalent for any compact metric space (X,ρ) if and only if the gauge function g satisfies the doubling condition, where H ρ,g is the Hausdorff measure with respect to the metric ρ and gauge function g.     

Shift visual cryptography scheme of two secret images

A new visual cryptography scheme of two secret images, which is named the shift visual cryptography of two secret images, is given. The compound function family of a general construction model is also introduced. The uniqueness and validity of this model are proved, and the minimum rows and columns for realizing the scheme are obtained. Compared with visual cryptography of one secret image, the shift visual cryptography scheme can share two secret images with the same size of pixels expansion without losing the contrast. It has randomness and various forms, and furthermore, we can also visually recover two secret images even if the two shares are different in form and color.     

磁空间群Pб_ 3/m''''m’c''''不可约共表示的计算

群表示理论在群论的发展和应用中占有十分重要的地位,它对求解C-G系数,同位标量因子及母分系数是必不可少的。本文主要以P6_3”m′m′c′的对称点L点为例,应用诱导表示的方法,介绍磁空间群不可约共表示的计算方法。     

活性炭纤维的表面功能设计和控制(Ⅰ)

文章系统阐述了活性炭纤维 (ACF)表面功能的设计和控制方法 ,介绍了ACF的比表面积、孔径分布、表面化学结构与吸附对象的关系;从ACF表面物理、化学结构的可设计化入手 ,全面阐述了ACF物理结构的设计和控制方法及表面化学的改性方法;并介绍了其应用效果     

方程(t)=ax(t)+bx(t-τ)+cx(t+τ)关于[-τ,0]上的初始函数解的存在性

讨论了混合型方程x·(t)=ax(t)+bx(t-τ)+cx(t+τ)x(t)=φ(t)　　t≥0,t∈[-τ,0].其中φ(t)是任意给定的[-τ,0]上的连续函数,a、b、c∈R,当bc≠0时,对该混合型方程的所有解的基本形式做了详细讨论.     

旋转水射流破岩的数值模拟分析

采用非线性动力有限元和岩石动态损伤模型模拟了旋转水射流作用下岩石的损伤破坏过程 ,其中岩石损伤场的求解采用解耦的方法。同时还对旋转水射流的破岩机理进行了分析。模拟计算结果与前期的试验结果一致 ,均显示旋转射流具有较强的破岩能力 ,其原因在于旋转射流的质点具有三维速度 ,破岩时以倾斜冲击为主 ,易于在岩石表面形成拉伸和剪切破坏 ,回流的干扰较少 ;破岩过程首先是形成一环形破碎带 ,然后沿径向和轴向发展 ,所形成的破碎坑呈内凸锥状。旋转射流破岩的优势在于破碎面积大、效率高。     

边界单元法三维应力分析计算程序

以三维弹性力学问题的基本解 (Kelvin解 )为基础开发了边界单元法三维弹性应力分析计算程序 ,并对其进行了验证。结果表明 ,该程序可用来求解三维弹性应力问题 ,尤其适用于三维应力集中问题。程序中采用动态分配内存 ,自动选点积分 ,并利用分块解法求解方程组 ,有效地节省了计算机资源 ,扩大了求解问题的规模。     

PI/TiO2纳米复合膜的H2/CH4和H2/N2分离性能

以可溶性聚酰亚胺为基质 ,经乙酸修饰后的钛酸丁酯为TiO2 溶胶前体 ,NMP为共溶剂 ,采用溶胶凝胶法可制得PI/TiO2 纳米复合膜。采用XPS、TEM和气体透气性能测试等手段 ,对复合膜的结构和H2 分离性能进行了表征。结果表明 ,复合膜中钛酸丁酯已转化为TiO2 ,PI与TiO2 两相结合完好。TiO2 以颗粒状均匀分布在PI基质中 ,其颗粒粒径约为 1 0nm。复合膜的H2 ,N2 和CH4 透气系数随着TiO2 含量的增加而明显增加。当TiO2 含量为2 2 3 %时 ,对H2 的透气系数为 1 4 .1Barrer,对H2 /N2 和H2 /CH4 的分离系数分别为 1 87.5和 1 4 3 .2 ,因此 ,该复合膜是一种较为理想的H2 分离和回收膜材料     

Vibration Analysis of Digital Radiography System for Large Container Inspection

The cantilever vibration characteristics of a digital radiography system were analyzed to predict the effect of vibration on the performance of a mobile container inspection system. The static deformation,vibration mode and natural frequency of the cantilever of the digital radiography system were calculated with the ALGOR Finite Element System to verify the strength and rigidity of the cantilever. The maximum amplitude of the cantilever vibration occurs as it starts accelerating. The predictions show good agreement with test results, indicating that the finite element model of the cantilever structure accurately models the mechanical characteristics.