SOLITARY WAVES IN FINITE DEFORMATION ELASTIC CIRCULAR ROD

A new nonlinear wave equation of a finite deformation elastic circular rod simultaneously introducing transverse inertia and shearing strain was derived by means of Hamilton principle. The nonlinear equation includes two nonlinear terms caused by finite deformation and double geometric dispersion effects caused by transverse inertia and transverse shearing strain. Nonlinear wave equation and corresponding truncated nonlinear wave equation were solved by the hyperbolic secant function finite expansion method. The solitary wave solutions of these nonlinear equations were obtained. The necessary condition of these solutions existence was given also.     

APPLICATION OF VECTOR TO SMALL DEFORMATION

ＡＰＰＬＩＣＡＴＩＯＮ　ＯＦ　ＶＥＣＴＯＲ　ＴＯ　ＳＭＡＬＬ　ＤＥＦＯＲＭＡＴＩＯＮＺｈａｎｇＳｈｅｎｘｕｅ（张慎学）（ＲｅｃｅｉｖｅｄＤｅｃ．１６，１９９４，Ｍａｙ２８，１９９５，ＣｏｍｍｕｎｉｃａｔｅｄｂｙＣｈｉｅｎＷｅｉｚａｎｇ）Ａｂｓｔｒａｃ...     

平板网架结构分析的超级有限元法

本文给出一种二维矩形超级单元，用以分析平板网架结构，其做法是将大型平板网架结构离散成一系列矩形超级单元，考虑弯曲、剪切、挤压、拉压、翘曲等多种非经典变形效应，采用构件自由度向超级元自由度的转换把大型多构件问题的求解变为二维问题的求解，可大大减少未知量，又能保证精度，并可方便地与一般有限元软件连接。     

有限变形弹性动力学的非传统Gurtin型变分原理

根据古典阴阳互补和现代对偶互补的基本思想，通过作者早已提出的一条简单而统一的途径，系统地建立了有限变形弹性动力学的各类非传统Gurtin型变分原理，给出一个以卷积表示的重要关系式，可以认为，该式是有限变形动力学的广义虚功原理的表式。从该式出发，不仅能得到有限变形动力学的虚功原理，而且通过给出的一系列广义Legendre变换，还能系统地成对导出5类变量，3类变量，2类变量和1类变量非传统Gurtin型变分原理的互补泛函。通过这条途径还能清楚地阐明这些原理之间的内在联系。     

THE RATE-INDEPENDENT CONSTITUTIVE MODELING FOR POROUS AND MULTI-PHASE NANOCRYSTALLINE MATERIAL

To determine the time-independent constitutive modeling for porous and multiphase nanocrystalline materials and understand the effects of grain size and porosity on their mechanical behavior, each phase was treated as a mixture of grain interior and grain boundary, and pores were taken as a single phase, then Budiansky's self-consistent method was used to calculate the Young's modulus of porous, possible multi-phase, nanocrystalline materials, the prediction being in good agreement with the results in the literature. Further, the established method is extended tosimulate the constitutive relations of porous and possible multi-phase nanocrystalline materials with small plastic deformation in conjunction with the secant-moduli approach and iso-strain assumption. Comparisons between the experimental grain size and porosity dependent mechanical data and the corresponding predictions using the established model show that it appears to be capable of describing the time-independent mechanical behaviors for porous and multi-phase nanocrystalline materials in a small plastic strain range. Further discussion on the modification factor, the advantages and limitations of the model developed were present.     

Two theorems on the steady-state conduction in anisotropic body

In this paper, steady-state plane conduction problems are considered. Two theorems are proven on the conductance of non-homogeneous and anisotropic plane conductors. Here, the conductor is a two-dimensional bounded plane domain with a conducting matter having two seperated boundary terminals and two seperated insulated boundary segments. Known theorems referring to homogeneous and isotropic conductors have been extended to non-homogeneous and anisotropic ones. The results of the paper can be directly used in following fields: heat flow, diffusion, irrotational hydraulic flow, flow of electrical current and anti-plane shear deformation. Application of formulae derived is illustrated in the examples of heat flow and anti-plane elastic shear deformation.     

Deformation and failure mechanism in AISI 4340 steel under ballistic impact

Deformation and failure mechanism in quench-hardened AISI 4340 steel under ballistic impact is investigated. The influence of microstructure on damage evolution is also evaluated. Strain localization and shear failure along adiabatic shear bands are the dominant deformation and failure mechanisms. The time and critical strain for the commencement of strain localization is influenced by strain rate and microstructure. The microstructure of the steel sample also influenced the type of adiabatic shear bands formed during impact. Failure mechanism involves nucleation of micro-voids, which clusters to form bigger pores. Extremely fine micro-cracks are initiated adjacent to the pores and in shear flow direction along the shear bands. These micro-cracks become interconnected and grow to macro-cracks, which cause fracture of some of the investigated cylindrical steel samples under impact. The susceptibility of the adiabatic shear bands to cracking increases with decreasing tempering temperature of the steel.     

不同边界条件正交各向异性中厚板的振动与稳定分析

本文采用高阶剪切变形理论对正交各向异性中厚矩形板进行振动与稳定分析,数值计算采用样条有限点法,得出了六种不同边界条件矩形板的自振频率和屈曲载荷,并与相应的经典板理论的结果进行比较.结果说明横向剪切变形对复合材料层合板的影响与板的各向异性程度、板的宽厚比(b/h)、层合板的层数和板的支承条件有关,它随着层合板各向异性程度的增加而增加,随着层合板宽厚比的增加而逐渐消失.     

Second order effects in an elastic half-space acted upon by a non-uniform normal load

A closed form solution to the second order elasticity problem, when an isotropic compressible elastic half-space undergoes a deformation owing to a non-uniformly distributed normal load, is presented. The method of integral transform is employed and the case when loading is distributed, in accordance with Hertz's law, is discussed. The limiting solution for incompressible isotropic elastic material is also derived. Numerical calculations for the second order elastic material for the displacement and the normal stress in thez-direction are carried out. It is found that, in comparision to the linear elastic case, the displacement increases and the normal stress decreases in the second order elastic material

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Sommario Si presenta una soluzione del secondo ordine in forma chiusa del problema di un semi-spazio elastico isotropo compressibile soggetto a un carico normale distribuito non uniformemente, ottenuta mediante il metodo delle trasformate integrali. Si discute il caso del carico distribuito secondo la legge di Hertz; si deriva anche la soluzione limite per materiale elastico isotropo incompressibile. Si ottengono numericamente alcuni risultati relativi a spostamenti e tensioni normali nella direzione z: si trova che, a paragone del caso elastico lineare, gli spostamenti aumentano e le tensioni diminuiscono nel materiale elastico del secondo ordine.

     

论“岩体结构控制论”

经过长期实践和研究,作者于1984年提出岩体结构控制论是岩体力学的基础理论,并全面、系统地以岩体结构控制论为指导研究了岩体变形、岩体破坏及岩体力学性质的基本规律;提出岩体变形系山岩体材料变彤和岩体结构变形共同贡献的,岩体破坏系受岩体材料破坏和岩体结构破坏控制的;岩体力学性质不仅决定于岩体材料力学的性质,而且受控于岩体结构力学效应及环境因素力学效应。在此基础上,作者提出了岩体可以划分为连续介质、碎裂介质,块裂介质及板裂介质四种岩体力学介质,从而建立了完整的岩体结构力学理论体系。