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fue＇s solution of classical elasticity in n-layered solids： Part 1, mathematical formulation

Frontiers of Structural and Civil Engineering 2015年第3期9卷 215-249页

作者： Zhong-qi Quentin YUE Department of Civil Engineering The University of Hong Kong Hong Kong China

This paper presents the exact and complete fundamental singular solutions for the boundary value problem of a n-layered elastic solid of either transverse isotropy or isotropy subject to body force vector at the interior of the solid. The layer number n is an arbitrary nonnegative integer. The mathematical theory of linear elasticity is one of the most classical field theories in mechanics and physics. It was developed and established by many well-known scientists and mathematicians over 200years from 1638 to 1838. For more than 150years from 1838 to present, one of the remaining key tasks in classical elasticity has been the mathematical derivation and formulation of exact solutions for various boundary value problems of interesting in science and engineering. However, exact solutions and/or fundamental singular solutions in closed form are still very limited in literature. The boundary-value problems of classical elasticity in n-layered and graded solids are also one of the classical problems challenging many researchers. Since 1984, the author has analytically and rigorously examined the solutions of such classical problems using the classical mathematical tools such as Fourier integral transforms. In particular, he has derived the exact and complete fundamental singular solutions for elasticity of either isotropic or transversely isotropic layered solids subject to concentrated loadings. The solutions in n- layered or graded solids can be calculated with any controlled accuracy in association with classical numerical integration techniques. Findings of this solution formulation are further used in the companion paper for mathematical verification of the solutions and further applications for exact and complete solutions of other problems in elasticity, elastodynamics, poroelasticty and thermoelasticity. The mathematical formulations and solutions have been named by other researchers as Yue＇s approach, Yue＇s treatment, Yue＇s method and Yue＇s solution.

关键词： elasticity solution layered solid graded material

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复合固体板中兰姆波非线性效应的实验观察

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声学技术 2005年第Z1期24卷 7-8页

作者：邓明晰重庆后勤工程学院重庆400016

　　1引言　　兰姆波作为一种有效手段在复合固体板材的无损检测方面得到广泛应用[1].目前,将兰姆波的非线性效应用于定征复合板材粘接层性质的研究工作已取得令人鼓舞的阶段性结果[2].鉴于复合固体板材的应用面广,研究其性质的非线性... 详细信息

　　1引言　　兰姆波作为一种有效手段在复合固体板材的无损检测方面得到广泛应用[1].目前,将兰姆波的非线性效应用于定征复合板材粘接层性质的研究工作已取得令人鼓舞的阶段性结果[2].鉴于复合固体板材的应用面广,研究其性质的非线性兰姆波定征方法具有重要实际意义.一项最重要也是最基本的工作,首先应从实验上验证,复合固体板中传播的具有频散特性的兰姆波,在一定条件下其二次谐波确实具有强烈的非线性效应.迄今为止,关于复合固体板中兰姆波非线性效应实验观察方面的研究,还未见公开文献报导[3].　　……

关键词：复合固体板兰姆波非线性效应实验观察 layered solid Lamb waves 固体板材应用无损检测频散特性复合板材二次谐波粘接层阶段性验证文献方法传播

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Synthesis and Characterization of Novel layered Lithium Sodium Silicate (Silinaite) and the Mesoporous Materials from Silinaite

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Chinese Chemical Letters 2006年第4期17卷 525-528页

作者： Chun Hui ZHOU Hong Qiang GUO Hui Jun CAO Xiao Nian LI Zhong Hua GE Jie LI College of Chemical Engineering and Materials Science Zhejiang University of Technology Hangzhou 310032

Novel layered silinaite has been synthesized using an aqueous mixture of water glass, LiOH and NaOH under hydrothermal crystallization. Subsequently transformation of silinaite into mesoporous materials （SDM） was achieved at mild condition using cetyltfimethylammonium bromide as structure-directing agents. The resulting samples were characterized by XRD, SEM, FTIR nitrogen adsorption-desorption isotherms and catalytic performance in bulky molecular involved reaction. The results revealed that synthesized mesoporous materials derived from the silinaite exhibited an ordered hexagonal crystal structure with average pore diameter 2.7 nm and BET surface area 817m^2/g. The SDM-supported ZnCl2 catalyst, prepared by impregnationevaporation method, retained the mesoporous structure and showed high selectivity in alkylation of benzene with benzyl chloride.

关键词： Silinaite mesoporous materials layered solid catalysts characterization.

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