Some basic principles for linear coupled dynamic thermopiezoelectricity

According to the basic idea of classical yin-yang complementarity and modern dualcomplementarity, in a simple and unified way some basic principles for linear coupled dynamic thermopiezoelectricity can be established systematically. An important integral relation in terms of convolutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem in linear coupled dynamic thermopiezoelectricity, but also to derive systematically the complementary functionals for eleven-field, nine-field, six-field and three-field simplified Gurtin-type variational principles. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly. Project supported by the National Natural Science Foundation of China (Grant No. 19672074) and Research Grand Council of Hong Kong, No.RGC97/98, HKUST 6055/97E.     

基于模糊互补判断矩阵的对数最小一乘法及算法程序设计

利用正互反判断矩阵与模糊互补判断矩阵的转换关系,探讨模糊互补判断矩阵的一种排序方法——对数最小一乘法,并给出这种算法的程序设计.     

A Two-component Generalization of the Camassa-Holm Equation and its Solutions

An explicit reciprocal transformation between a two-component generalization of the Camassa–Holm equation, called the 2-CH system, and the first negative flow of the AKNS hierarchy is established. This transformation enables one to obtain solutions of the 2-CH system from those of the first negative flow of the AKNS hierarchy. Interesting examples of peakon and multi-kink solutions of the 2-CH system are presented Mathematics Subject Classifications (2000). 35Q53, 37K35     

Variational and reciprocal principles in thermoelasticity without energy dissipation

In the context of the linear theory of thermoelasticity without energy dissipation for homogeneous and isotropic materials, variational principles of Biot-and Hamilton-types and a reciprocal principle of Betti-Rayleigh-type are presented.     

THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES(Ⅱ)—RECTANGULAR PLATES WITH TWO ADJACENT CLAMPED EDGES

In this paper,applying the method of reciprocal theorem,we give the distributions ofthe amplitude of bending moments along clamped edges and the amplitude of deflectionsalong free edges of rectangular plates with two adjacent clamped edges under harmonicdistributed and concentrated loads.     

On a new division algorithm

A method for digital division is described. In this method the reciprocal of the divisor is first determined approximately by a third order iterative equation. Each multiplication in this equation is then performed by the Quasi Serial Multiplier method. The reciprocal of the divisor, thus obtained is finally multiplied by the dividend, using the same method.     

Generalized reciprocal theorems and their applications

Generalized reciprocal theorems of non-coupled and coupled systems, which are valid for two deformed bodies with different constitutive relations are established by generalizing the idea of Betti's reciprocal theorem. When the consitutive relations of the two deformed bodies are all alike and linear elastic, the generalized reciprocal theorem of non-coupled systems just becomes Betti's. Meanwhile, the generalized reciprocal theorems are applied to simulate calculations in elasticity. Foundation item: the National Major Laboratory of Plastic Forming Simulation and Die Arrangement Technology (991-6) Biography: FU Bao-lian (1934-)     

单相超导体 CaLaBaCu3-x B x O 7-δ 正常态热电势率研究

从 77K到 300K之间对 CaLaBaCu3-x B x O7-W单相体系的正常态热电势率进行了微分法测量 ,发现 随着硼含量 x 从 0向 0. 4的逐步增加 ,样品体系正常态特性从金属性向类半导体性质转变 ,其主要载流 子由空穴型为主转变为电子型为主 .根据以上的性质转变 ,我们采用双带模型及半导体模型对 x 的不同 值进行曲线模拟 ,拟合的热电势率 — 温度曲线与实验曲线相当吻合 ,同时根据模型对样品的费米能及 有效能隙进行了计算 .     

应力互换定律与平衡条件的等价性

本文从空间一般的情形证明了应力互换定律是微体平衡的充分必要条件,即证明了应力互换定律与平衡条件的等价性,从而揭示了应力互换定律的实质。     

Orientation relationship between α-Fe precipitate and α-Al2O3 matrix in iron-implanted sapphire

Fe ions were implanted into α-Al₂O₃ single crystals (sapphire) at room temperature and annealed in a reducing atmosphere. The orientation relationships (ORs) between α-Fe particles and sapphire matrix were investigated using transmission electron microscopy (TEM). All the α-Fe particles have the orientation relationship (OR) of (1 1 1)_α-Fe || (0 0 0 1)_sapphire and ${[1\overline{1}0]}_{\alpha \text{-Fe}}\left|\right|{[11\overline{2}0]}_{\text{sapphire}}$ with sapphire. This OR is predicted precisely by the coincidence of reciprocal lattice points (CRLP) method. The other OR of (1 1 0)_α-Fe || (0 0 0 1)_sapphire and ${[111]}_{\alpha \text{-Fe}}\left|\right|{[5\overline{1}\overline{4}0]}_{\text{sapphire}}$ reported before is confirmed by the same method to be one of the secondary preferred orientation relationships in the α-Fe/sapphire system.