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In order to study the fatigue of pressure vessel commonly encountered problem in engineering with large destructibility , based on the theory of fracture mechanics , the pressure vessel existing original crack was equivalent to the problem of infinite flat with center crack .

为了分析工程中常见的破坏性极大的压力容器疲劳问题,基于断裂力学理论将存在初始裂纹的压力容器等效为无穷远处作用均匀拉应力的含中心裂纹无限大板问题,解出表面半椭圆裂纹和穿透裂纹的应力强度因子;利用断裂判据得到裂纹的临界断裂尺寸;采用Paris表达式对裂纹扩展速率进行描述,推导出初始裂纹在不同裂纹尺寸和形式下的裂纹疲劳扩展寿命。

Based on the ellipsoidal coordinates, we obtain the spacial distribution of electric potentials of a composite of a coated ellipsoid embedded in an infinite host via solving the Laplace equations and matching the boundary conditions. Meanwhile, we also obtain the partially resonant condition of the coated ellipsoid.

通过引入椭球坐标系,利用拉普拉斯方程及其边界条件,求出了带壳椭球颗粒镶嵌在无限大线性基质中的空间电势分布,并进一步得出了带壳椭球颗粒的部分共振条件。

The ellipsoidal coordinates and the square root characteristics of the displacement jumps across the crack surface are cleverly used in the hypersingular integral equations for an arbitrary planar crack embedded into the infinite three dimensional homogeneous elastic solid.

无限大三维均质弹性体中任意平片裂纹的超奇异积分方程,巧妙地引入椭球坐标系和利用裂纹表面位移间断具有平方根的特性,获得了受任意方向均布内压力作用下椭圆平片裂纹问题的超奇异积分方程的解析解。

The effects of three components of energy density on total energy density were analyzed. Furthermore, the energy density equation and the equation of heat conduction were compared.

根据小阻尼假设,推导了无限大板在简谐激励作用下能量密度的控制方程,建立了能量密度和声强之间的关系,得出了远场解的表达式。

An ideal OATS is the half space above a perfect conducting ground plane that extended to infinity.

理想开放测试场地就是一个无限大理想导体平面上完全空旷之半空间。

The problems of acoustic radiation and scattering in infinite exterior domain are studied by employing fractal two-level finite element method.

应用二级分形有限元方法研究了无限大外域声辐射和散射问题。

It would take an infinitively large database to capture the real world precisely data must somehow be reduced to a finite and manageable quantity by a process of generalization or abstraction.

为了获得真实世界的精确数据将需要一个无限大的数据库,但由于某种原因,这些精确数据必须通过概括或提取过程减小为有限且可以管理的小数据。

And then charged in accordance with Circle uniform electric field distribution on the axis, and further discussion of uniform cylindrical surface at its axis and uniform electric field around charged spherical electric field generated by the results and full compliance with the Gauss theorem.

以均匀无限长带电直线的电场分布为基础,运用微元法和叠加原理研究了无限大均匀带电平面和无限长均匀带电圆柱面在其周围电场分布情况。然后根据均匀带电圆环轴线上的电场分布,进一步讨论均匀圆柱面在其轴线上的电场和均匀带电球面在其周围产生的电场,所得结果与高斯定理完全符合。

Afterwards,i am gradually clear that the world is infinitly gigantic more than you can imagine.

后来,我逐渐明白世界是一个无限大的球体,远远超出你的想象。

Try and work out the gravitational force between two objects in terms of a quantum graviton, however, and you quickly run into trouble—the answer to every calculation is infinity.

可你要是也从量子力学角度,试图把万有引力视作物体间引力子的相互作用并计算其值,那你很快就会深陷泥沼——所有计算值都趋于无限大

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