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弹性平面
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  elastic plane
    In the present paper,the progressive development of quantitative model of current plate motion is expressed. The developing models include the simple expression of geometry, the least squares fitting procedure under the assumption of rigid plate, the series expansion of rotation velocity, the finite element model of elastic plane and spherical shell, the Green′s function method of isotropic homogeneous Earth and the viscoelastic gravitational layered Earth model etc. The used data expands from geological data to spatial geographical survey data.
    从简单的几何学描述到刚性板块假设下的最小二乘法拟合、转动角速度的级数展开、弹性平面和球壳有限元模型、各向同性弹性地球的格林函数方法和粘弹—重力层状地球模型等数学力学模型的引入和发展,从地质数据的不断完善到空间大地测量数据的应用等方面阐述了现今板块运动定量模型不断完善的发展过程。
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    1. Verify the feasibility to adopt cellular automata to solid mechanics analysis. And based on the equilibrium equations, geometrical equations and constitutive equations cellular automata that may be used to solve 2-D truss elastic problems, 2-D truss plastic problems, 2-D rigid framework elastic problems and 2-D continuum elastic problems are introduced or presented.
    主要工作如下:1、在前人研究的基础上验证了细胞自动机模型用于固体力学分析的可行性,并基于力的平衡条件、变形协调条件以及本构方程,提出了可用于求解弹性平面桁架、塑性平面桁架、弹性平面刚架以及弹性平面问题的细胞自动机模型;
短句来源
    In this paper, the inclined plane overlaping on the same medium in a samispace with homogeous elastic medium is used to simulate the sloped mountain masses, and in a two-dimension space, a set of thermoelastic effect formulas have been inferred strictly for temperature change function, tempsrature stress, thermostrain, vertical thermo-deformation and thermo-tilt at any point in a mountain mass.
    本文用在均匀弹性平面半空间上迭覆一同样介质的斜面体,来模拟有坡度的山体,在二维空间里严格地推导了山体内任一点的变温函数、温度应力、热应变、垂直热形变和热倾斜等一整套热弹效应公式。
短句来源
    The obtaining of hydro dynamic solutions of horizontal aquifer displacement and strains caused by water injection in a single well, can be regarded as an improvement for the classical plain problem of inner pressure in single hole.
    单井注水含水层水动力学水平位移、应变解的导出 ,完善和发展了单孔内压经典弹性平面力学问题解
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  elastic plane
The equilibrium problem for the infinite elastic plane consisting of two different media with many cracks on the interface is discussed.
      
Solving elastic plane problems involving the effect of Lorentz forces on conductors carrying a uniform current
      
Green's functions for a two-phase infinite magneto-electro-elastic plane
      
On the fundamental problem for an infinite elastic plane bonded by different anisotropic materials with cracks
      
In this paper, the first fundamental problem for an infinite elastic plane bonded by different anisotropic materials with cracks of arbitrary shape is discussed.
      
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In this paper, the inclined plane overlaping on the same medium in a samispace with homogeous elastic medium is used to simulate the sloped mountain masses, and in a two-dimension space, a set of thermoelastic effect formulas have been inferred strictly for temperature change function, tempsrature stress, thermostrain, vertical thermo-deformation and thermo-tilt at any point in a mountain mass. The results show that the thermoelastic effect is closely related to landform. For the horizontal strain and crustal-tilt,...

In this paper, the inclined plane overlaping on the same medium in a samispace with homogeous elastic medium is used to simulate the sloped mountain masses, and in a two-dimension space, a set of thermoelastic effect formulas have been inferred strictly for temperature change function, tempsrature stress, thermostrain, vertical thermo-deformation and thermo-tilt at any point in a mountain mass. The results show that the thermoelastic effect is closely related to landform. For the horizontal strain and crustal-tilt, the larger the slops, the greater the effect is, conversely,the vertical deformation is smaller, For the observation of seismic precursors, landform is one of the important factors which must be considered during a station site selection. The result given in this paper is much more strict and practical than other previous ones.

本文用在均匀弹性平面半空间上迭覆一同样介质的斜面体,来模拟有坡度的山体,在二维空间里严格地推导了山体内任一点的变温函数、温度应力、热应变、垂直热形变和热倾斜等一整套热弹效应公式。结果表明,热弹效应与地形有很大关系。对于水平应变和地倾斜,坡度越大,热效应也越大;垂直形变则相反。因此,对于地震前兆观测来说,估计这些热弹效应的大小是很重要的,特别是在选台建台时必须考虑这一因素。

Based on the geology geomechanics analysis of the third stage of Yanshan period in Hebi Area,the geological structure of Hebi Area was simulated with the method of two-dimentional photo- elastic test,the knowledge existed of the structural development feature was proved to be true,and a further knowledge of them was obtained by the satisfactory test results.

本文根据鹤壁地区燕山期第三阶段的地质力学分析,用光弹性平面模型的实验方法,模拟了该区的地质构造,验证并加深了对该区地质构是发育特征的认识,取得了满意的实验结果

In the present paper,the progressive development of quantitative model of current plate motion is expressed. The developing models include the simple expression of geometry, the least squares fitting procedure under the assumption of rigid plate, the series expansion of rotation velocity, the finite element model of elastic plane and spherical shell, the Green′s function method of isotropic homogeneous Earth and the viscoelastic gravitational layered Earth model etc. The used data expands from geological data...

In the present paper,the progressive development of quantitative model of current plate motion is expressed. The developing models include the simple expression of geometry, the least squares fitting procedure under the assumption of rigid plate, the series expansion of rotation velocity, the finite element model of elastic plane and spherical shell, the Green′s function method of isotropic homogeneous Earth and the viscoelastic gravitational layered Earth model etc. The used data expands from geological data to spatial geographical survey data. Based on all mentioned obove, the paper comments on the present status and developing tendency of the quantitative model of current plate motion.

从简单的几何学描述到刚性板块假设下的最小二乘法拟合、转动角速度的级数展开、弹性平面和球壳有限元模型、各向同性弹性地球的格林函数方法和粘弹—重力层状地球模型等数学力学模型的引入和发展,从地质数据的不断完善到空间大地测量数据的应用等方面阐述了现今板块运动定量模型不断完善的发展过程。评述了现今板块运动定量模型的现状与发展趋势。

 
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