Plane Problem
平面问题
学术写作例句词典
Discover more insights into Plane Problem 平面问题
Keywords frequently search together with Plane Problem 平面问题
Narrow sentence examples with built-in keyword filters
Plane Problem sentence examples within Dimensional Plane Problem
In a two-dimensional plane problem of the theory of elasticity in polar coordinates for a nonhomogeneous body, it is possible to obtain analytical or numerical-analytical solutions only for a one-dimensional nonuniformity [1 - 3].
在非均质体的极坐标弹性理论的二维平面问题中，只有一维非均匀性才能获得解析解或数值解析解 [1 - 3]。
在非均质体的极坐标弹性理论的二维平面问题中，只有一维非均匀性才能获得解析解或数值解析解 [1 - 3]。
Full Text
The pointed out properties of the leading edge of the shock action follow from the joint analysis of the characteristic directions of the problem and the shock waves types for a one-dimensional plane problem in an incompressible medium with arbitrary preliminary deformations.
所指出的冲击作用前沿的性质，是通过对不可压缩介质中任意预变形的一维平面问题的特征方向和冲击波类型的联合分析得出的。
所指出的冲击作用前沿的性质，是通过对不可压缩介质中任意预变形的一维平面问题的特征方向和冲击波类型的联合分析得出的。
Full Text
Plane Problem sentence examples within Elastic Plane Problem
A solution is derived for a mixed boundary orthotropic elastic plane problem using a mapping function to solve arbitrary configurations.
使用映射函数求解任意配置，得到了混合边界正交各向异性弹性平面问题的解。
使用映射函数求解任意配置，得到了混合边界正交各向异性弹性平面问题的解。
Full Text
It is a challenging problem to derive a solution for an orthotropic elastic plane problem using a mapping function.
使用映射函数求解正交各向异性弹性平面问题是一个具有挑战性的问题。
使用映射函数求解正交各向异性弹性平面问题是一个具有挑战性的问题。
Full Text
We present a rigorous analysis of the plane problem of an elastic half-plane with a fixed cycloid wavy boundary under biaxial tension using Muskhelishvili’s complex variable method.
我们使用 Muskhelishvili 的复变量方法对具有固定摆线波浪边界的弹性半平面在双轴张力下的平面问题进行了严格的分析。
我们使用 Muskhelishvili 的复变量方法对具有固定摆线波浪边界的弹性半平面在双轴张力下的平面问题进行了严格的分析。
Full Text
The plane problem of calculating the effective dielectric constant of two-phase composite consisting of main material with one circular inclusion is considered.
考虑了计算以一个圆形夹杂物为主要材料的两相复合材料的有效介电常数的平面问题。
考虑了计算以一个圆形夹杂物为主要材料的两相复合材料的有效介电常数的平面问题。
Full Text
The paper presents a method for determining thermal stresses in an elastic free square plate (the plane problem).
本文提出了一种确定弹性自由方形板中热应力的方法（平面问题）。
本文提出了一种确定弹性自由方形板中热应力的方法（平面问题）。
Full Text
For this purpose, the kernels of the equations are represented as the sum of regular functions and singular components, which are determined through the kernels of the plane problem of the elasticity theory in the Cartesian coordinate system.
为此，方程的核表示为正则函数和奇异分量之和，它们是通过笛卡尔坐标系中弹性理论的平面问题的核确定的。
为此，方程的核表示为正则函数和奇异分量之和，它们是通过笛卡尔坐标系中弹性理论的平面问题的核确定的。
Full Text
In the past, two kinds of failure forms were explained from the plane problems of elasticity theory.
过去，弹性理论的平面问题解释了两种失效形式。
过去，弹性理论的平面问题解释了两种失效形式。
Full Text
The study of the stress-strain state of the knee joint was carried out by solving a plane problem of the theory of elasticity using a software package based on the finite element method.
采用基于有限元法的软件包求解弹性理论的平面问题，对膝关节的应力-应变状态进行了研究。
采用基于有限元法的软件包求解弹性理论的平面问题，对膝关节的应力-应变状态进行了研究。
Full Text
Contaminated of soil ecosystem with oil and oil products is one of the most complex and multiplane problem of environmental protection.
石油和石油产品对土壤生态系统的污染是环境保护中最为复杂和多层面的问题之一。
石油和石油产品对土壤生态系统的污染是环境保护中最为复杂和多层面的问题之一。
Full Text
This paper presents a method for determining thermal stresses in an elastic clamped square with a given temperature distribution (the plane problem).
本文提出了一种在给定温度分布（平面问题）下确定弹性夹紧正方形中的热应力的方法。
本文提出了一种在给定温度分布（平面问题）下确定弹性夹紧正方形中的热应力的方法。
Full Text
A plane problem of the formation of a crater as a result of the explosion of a line charge on the surface of the ground is investigated within the solid–liquid formulation.
在固-液公式中研究了由于地面上的线电荷爆炸而形成陨石坑的平面问题。
在固-液公式中研究了由于地面上的线电荷爆炸而形成陨石坑的平面问题。
Full Text
The solution was obtained for the entire package of layers by sequentially solving the heat equation for an inhomogeneous beam, taking into account the ideal thermal contact of the layers and the system of equations of the plane problem of the theory of elasticity under the assumption of a rigid connection of the layers.
通过顺序求解非均匀梁的热方程得到整个层包的解，同时考虑层的理想热接触和弹性理论的平面问题的方程组，假设为层的刚性连接。
通过顺序求解非均匀梁的热方程得到整个层包的解，同时考虑层的理想热接触和弹性理论的平面问题的方程组，假设为层的刚性连接。
Full Text
By using complex potentials of plane problem and the classical theory of bending of plates, we obtain an analytic solution of the problem in the class of functions bounded at the tips of the plastic zones.
利用平面问题的复势和经典的板弯曲理论，我们得到了该问题的解析解，该问题属于以塑性区尖端为界的函数类。
利用平面问题的复势和经典的板弯曲理论，我们得到了该问题的解析解，该问题属于以塑性区尖端为界的函数类。
Full Text
The article deals with modeling the process of force load generation at an initial periodic change in pressure (a plane problem).
本文涉及在压力的初始周期性变化（平面问题）下对力载荷生成过程进行建模。
本文涉及在压力的初始周期性变化（平面问题）下对力载荷生成过程进行建模。
Full Text
The plane problem of the separation impact of a circular cylinder completely immersed in an ideal incompressible heavy liquid is considered.
考虑了完全浸没在理想不可压缩重质液体中的圆柱体分离冲击的平面问题。
考虑了完全浸没在理想不可压缩重质液体中的圆柱体分离冲击的平面问题。
Full Text
We solve the plane problem of the theory of elasticity of anisotropic bodies with transverse shear cracks “healed” by the injection technologies, which is reduced to the solution of singular integrodifferential equations for the displacements of crack surfaces.
我们解决了通过注入技术“愈合”横向剪切裂纹的各向异性体弹性理论的平面问题，将其简化为裂纹表面位移的奇异积分微分方程的解。
我们解决了通过注入技术“愈合”横向剪切裂纹的各向异性体弹性理论的平面问题，将其简化为裂纹表面位移的奇异积分微分方程的解。
Full Text
On the base of the method of simple iterations generalising methods of semi-inverse one of Saint-Venant, Reissner and Timoshenko the one-dimensional theory is constructed using the example of dynamic equations of a plane problem of elasticity theory for a long elastic strip.
在简单迭代法推广Saint-Venant、Reissner和Timoshenko半逆方法的基础上，以长弹性条带弹性理论平面问题的动力学方程为例，构建了一维理论。
在简单迭代法推广Saint-Venant、Reissner和Timoshenko半逆方法的基础上，以长弹性条带弹性理论平面问题的动力学方程为例，构建了一维理论。
Full Text
The calculations were carried out by solving the plane problem of a completely compressible fluid or gas flow around the blade profile.
计算是通过解决叶片轮廓周围完全可压缩的流体或气体流动的平面问题来进行的。
计算是通过解决叶片轮廓周围完全可压缩的流体或气体流动的平面问题来进行的。
Full Text
These contact loads enable the formulation of an equivalent half-plane problem for the contact, which can be used to determine much more precise estimates of the slip-zone sizes than are obtainable from direct use of frictional finite element analysis, as aggregated data from the finite element output is employed, and the half-plane analysis will add precision in terms of satisfaction of the laws of frictional slip and stick.
这些接触载荷可以为接触制定等效的半平面问题，与直接使用摩擦有限元分析相比，它可用于确定滑移区尺寸的更精确估计，作为来自采用有限元输出，半平面分析将在满足摩擦滑移和粘滞定律方面增加精度。
这些接触载荷可以为接触制定等效的半平面问题，与直接使用摩擦有限元分析相比，它可用于确定滑移区尺寸的更精确估计，作为来自采用有限元输出，半平面分析将在满足摩擦滑移和粘滞定律方面增加精度。
Full Text
For anti-plane problems, three elastic constants can describe the characteristics of medium anisotropy according to the generalized Hooke’s Law.
对于反平面问题，三个弹性常数可以根据广义胡克定律描述介质各向异性的特征。
对于反平面问题，三个弹性常数可以根据广义胡克定律描述介质各向异性的特征。
Full Text
Further, inspired by the electric field distribution obtained using the exact solutions for plane problems, a non-uniform electric field is proposed.
此外，受使用平面问题的精确解获得的电场分布的启发，提出了非均匀电场。
此外，受使用平面问题的精确解获得的电场分布的启发，提出了非均匀电场。
Full Text
The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems.
本文的目的是研究平面和反平面问题中二维晶格中瞬态低频波的衰减。
本文的目的是研究平面和反平面问题中二维晶格中瞬态低频波的衰减。
Full Text
The plane problem of a loaded Euler-Bernoulli beam of finite length in frictionless bilateral contact with a microstructured half-plane modelled by the couple stress theory of elasticity is considered here.
此处考虑了有限长度的加载 Euler-Bernoulli 梁在无摩擦双边接触中与由弹性耦合应力理论建模的微结构半平面的平面问题。
此处考虑了有限长度的加载 Euler-Bernoulli 梁在无摩擦双边接触中与由弹性耦合应力理论建模的微结构半平面的平面问题。
Full Text
For the half-plane problem with external loads acting on the surface, Flamant first obtained the elastic solutions when the external load is concentrated force or uniformly distributed load.
对于外载荷作用于表面的半平面问题，Flamant首先得到了外载荷为集中力或均布载荷时的弹性解。
对于外载荷作用于表面的半平面问题，Flamant首先得到了外载荷为集中力或均布载荷时的弹性解。
Full Text
Under the electrical permeable boundary condition, an antiplane problem of a nano-elliptic hole and a nano-crack in one-dimensional (1D) hexagonal piezoelectric quasicrystals (PQCs) with surface effect is studied.
在电导边界条件下，研究了具有表面效应的一维（1D）六方压电准晶体（PQCs）中纳米椭圆孔和纳米裂纹的反平面问题。
在电导边界条件下，研究了具有表面效应的一维（1D）六方压电准晶体（PQCs）中纳米椭圆孔和纳米裂纹的反平面问题。
Full Text
We use the method of multiple scales to derive an autonomous ordinary differential equation describing the slow time behaviour of the polar angle which generalises the Kapitza equation for the plane problem.
我们使用多尺度方法推导出一个描述极角慢时间行为的自治常微分方程，该方程推广了平面问题的 Kapitza 方程。
我们使用多尺度方法推导出一个描述极角慢时间行为的自治常微分方程，该方程推广了平面问题的 Kapitza 方程。
Full Text
A plane problem for optimization of stationary sensors placement in a threat environment to counteract an evading object is considered.
考虑了在威胁环境中优化静止传感器放置以抵消躲避物体的平面问题。
考虑了在威胁环境中优化静止传感器放置以抵消躲避物体的平面问题。
Full Text
The Flamant’s solutions (plane problem) are used for the stress state calculation.
Flamant 解（平面问题）用于应力状态计算。
Flamant 解（平面问题）用于应力状态计算。
Full Text
Moreover, static and steady state dynamic antiplane problems of flexoelectric and couple stress elastic materials can be modeled as anisotropic plates with a non-equal biaxial pre-stress.
此外，挠曲电和耦合应力弹性材料的静态和稳态动态反平面问题可以建模为具有不等双轴预应力的各向异性板。
此外，挠曲电和耦合应力弹性材料的静态和稳态动态反平面问题可以建模为具有不等双轴预应力的各向异性板。
Full Text
The proposed method is applied to design for the minimum compliance in-plane and out-of-plane problems, and significant improvements are obtained in comparison to the literature findings.
将所提出的方法应用于平面内和平面外问题的最小顺应性设计，与文献发现相比，获得了显着改进。
将所提出的方法应用于平面内和平面外问题的最小顺应性设计，与文献发现相比，获得了显着改进。
Full Text
The paper deals with the plane problem of normal and tangential load for microperiodic composite with slant lamination.
研究了斜叠层微周期复合材料法向载荷和切向载荷的平面问题。
研究了斜叠层微周期复合材料法向载荷和切向载荷的平面问题。
Full Text
Its inversion is carried out exactly using either analytical representations of the transforms (for plane problem of elasticity theory) or asymptotic method (for one-dimensional problem of viscoelasticity).
它的反演精确地使用变换的解析表示（用于弹性理论的平面问题）或渐近方法（用于粘弹性的一维问题）。
它的反演精确地使用变换的解析表示（用于弹性理论的平面问题）或渐近方法（用于粘弹性的一维问题）。
Full Text
Locating graph vertices on a plane problem is considered in this paper.
本文考虑在平面上定位图的顶点问题。
本文考虑在平面上定位图的顶点问题。
Full Text
In the plane problems, couple-stress theory predicts either strengthening or weakening effects while in the antiplane mode a strengthening effect is predicted.
在平面问题中，耦合应力理论预测强化或削弱效应，而在反平面模式中预测强化效应。
在平面问题中，耦合应力理论预测强化或削弱效应，而在反平面模式中预测强化效应。
Full Text
The paper investigates an asymptotic in-plane problem of clamped piezoelectric bi-material notch using the expanded Lehknitskii-Eshelby-Stroh formalism.
本文使用扩展的 Lehknitskii-Eshelby-Stroh 形式研究了钳位压电双材料缺口的渐近平面内问题。
本文使用扩展的 Lehknitskii-Eshelby-Stroh 形式研究了钳位压电双材料缺口的渐近平面内问题。
Full Text
In this paper, the plane problem of two elliptical nanoscale holes with surface tension is investigated.
本文研究了具有表面张力的两个椭圆形纳米孔的平面问题。
本文研究了具有表面张力的两个椭圆形纳米孔的平面问题。
Full Text
Moreover, static and steady state dynamic anti-plane problems of flexoelectric or couple stress elastic materials can be modeled as anisotropic plates with a non-equal biaxial pre-stress.
此外，挠曲电或耦合应力弹性材料的静态和稳态动态反平面问题可以建模为具有不等双轴预应力的各向异性板。
此外，挠曲电或耦合应力弹性材料的静态和稳态动态反平面问题可以建模为具有不等双轴预应力的各向异性板。
Full Text
Holomorphic functions are the key tool to construct representation formulae for the solutions for a manifold of plane problems, especially for the flow of a viscous fluid modelled by the Stokes system.
全纯函数是构建平面问题流形解决方案的表示公式的关键工具，特别是对于由斯托克斯系统建模的粘性流体的流动。
全纯函数是构建平面问题流形解决方案的表示公式的关键工具，特别是对于由斯托克斯系统建模的粘性流体的流动。
Full Text
We present our novel results assuming isotropy of the constituents and focusing on the effective out-of-plane shear modulus, which is computed exploiting the solution of the arising anti-plane problems.
我们提出了假设成分各向同性并关注有效面外剪切模量的新结果，该模量是利用所出现的反平面问题的解决方案来计算的。
我们提出了假设成分各向同性并关注有效面外剪切模量的新结果，该模量是利用所出现的反平面问题的解决方案来计算的。
Full Text
The elasto-static anti-plane problem of a Dugdale-Barenblatt crack in a welded infinite strip is formulated in terms of a singular integral equation (SIE).
焊接无限长条中 Dugdale-Barenblatt 裂纹的弹静反平面问题用奇异积分方程 (SIE) 表示。
焊接无限长条中 Dugdale-Barenblatt 裂纹的弹静反平面问题用奇异积分方程 (SIE) 表示。
Full Text
Plane problem of contact interaction for a viscoelastic foundation with multilayer coating and a rigid punch is considered.
考虑了具有多层涂层和刚性冲头的粘弹性基础接触相互作用的平面问题。
考虑了具有多层涂层和刚性冲头的粘弹性基础接触相互作用的平面问题。
Full Text
Numerical results and discussion of two-dimensional in-plane problems show the effects of gradients on static piezo-magnetic analysis, in particular (1) removal of singularities from magnetic fields as well as mechanical fields, and (2) capturing size-dependent piezo-magnetic response.
二维平面内问题的数值结果和讨论显示了梯度对静态压电磁分析的影响，特别是（1）从磁场和机械场中去除奇点，以及（2）捕获与尺寸相关的压电-磁响应。
二维平面内问题的数值结果和讨论显示了梯度对静态压电磁分析的影响，特别是（1）从磁场和机械场中去除奇点，以及（2）捕获与尺寸相关的压电-磁响应。
Full Text
The task is solved as a plane problem.
该任务作为平面问题解决。
该任务作为平面问题解决。
Full Text
On the basis of recently obtained asymptotic solutions of integral equations by the Wiener-Hopf method for diffraction by a straight finite-length crack in a linear elastic medium, we study the properties of the far-zone scattered field at high frequencies for (1) - anti-plane problem in a homogeneous medium, (2) - anti-plane problem for an interface crack, and (3) - in-plane problem in a homogeneous medium.
在最近通过Wiener-Hopf方法获得线性弹性介质中直线有限长度裂纹衍射积分方程的渐近解的基础上，我们研究了高频远区散射场的性质（1） - 均质介质中的反平面问题，(2) - 界面裂纹的反平面问题，以及 (3) - 均质介质中的平面内问题。
在最近通过Wiener-Hopf方法获得线性弹性介质中直线有限长度裂纹衍射积分方程的渐近解的基础上，我们研究了高频远区散射场的性质（1） - 均质介质中的反平面问题，(2) - 界面裂纹的反平面问题，以及 (3) - 均质介质中的平面内问题。
Full Text
The solution is reduced to solving some plane problems.
解决方案简化为解决一些平面问题。
解决方案简化为解决一些平面问题。
Full Text
Both of the electro-elastic responses and the effective moduli of the piezoelectric fiber composites with arbitrary shaped inclusions for the anti-plane problem are obtained using the complex potentials in series form and the homogenization strategy.
采用串联形式的复电位和均质化策略，获得了具有任意形状夹杂物的压电纤维复合材料的反平面问题的电弹性响应和有效模量。
采用串联形式的复电位和均质化策略，获得了具有任意形状夹杂物的压电纤维复合材料的反平面问题的电弹性响应和有效模量。
Full Text
A mathematical model of a fluid flow in the rectangular channel or in the illuminator with plants floating on the free surface is proposed, based on the use of the Navier-Stokes equations for the plane problem of a slow stationary flow of a viscous fluid in two areas: a free pressureless flow of fluid and a fluid flow in a porous layer formed with the roots of hyacinths floating on the surface of the liquid.
基于使用 Navier-Stokes 方程解决粘性流体在两个区域内缓慢静止流动的平面问题，提出了矩形通道或照明器中流体流动的数学模型，其中植物漂浮在自由表面上。领域：流体的自由无压流动和在由漂浮在液体表面的风信子的根形成的多孔层中的流体流动。
基于使用 Navier-Stokes 方程解决粘性流体在两个区域内缓慢静止流动的平面问题，提出了矩形通道或照明器中流体流动的数学模型，其中植物漂浮在自由表面上。领域：流体的自由无压流动和在由漂浮在液体表面的风信子的根形成的多孔层中的流体流动。
Full Text
A plane problem of fracture mechanics on crack nucleation in a rod-type nuclear fuel pellet is considered.
考虑了棒型核燃料芯块裂纹形核的断裂力学平面问题。
考虑了棒型核燃料芯块裂纹形核的断裂力学平面问题。
Full Text
This article presents a brief survey devoted to the interplay between diffraction and operator theory, particularly between the so-called canonical diffraction problems (exemplified by Sommerfeld half-plane problems) on one hand and operator factorisation theory on the other hand.
本文简要介绍了衍射和算子理论之间的相互作用，特别是一方面所谓的规范衍射问题（以索末菲半平面问题为例）和另一方面算子分解理论之间的相互作用。
本文简要介绍了衍射和算子理论之间的相互作用，特别是一方面所谓的规范衍射问题（以索末菲半平面问题为例）和另一方面算子分解理论之间的相互作用。
Full Text
The paper aims to carefully investigate an asymptotic in-plane problem of bi-material sharp notches with various geometry and interface cracks in several generally monoclinic piezoelectric bi-materials using the expanded Lekhnitskii-Eshelby-Stroh formalism.
本文旨在使用扩展的 Lekhnitskii-Eshelby-Stroh 形式仔细研究几种一般单斜压电双材料中具有各种几何形状和界面裂纹的双材料尖锐凹口的渐近平面内问题。
本文旨在使用扩展的 Lekhnitskii-Eshelby-Stroh 形式仔细研究几种一般单斜压电双材料中具有各种几何形状和界面裂纹的双材料尖锐凹口的渐近平面内问题。
Full Text
The current code is designed according to the plane problem.
当前代码是根据平面问题设计的。
当前代码是根据平面问题设计的。
Full Text
The impact of shallow tunnel construction on the surrounding environment is often considered as a symmetric half-plane problem with circular holes.
浅层隧道施工对周围环境的影响通常被认为是一个圆孔对称半平面问题。
浅层隧道施工对周围环境的影响通常被认为是一个圆孔对称半平面问题。
Full Text
A plane problem for a crack between two anisotropic semi-infinite spaces under remote tensile-shear loading is considered.
考虑远程拉剪载荷作用下两个各向异性半无限空间之间裂纹的平面问题。
考虑远程拉剪载荷作用下两个各向异性半无限空间之间裂纹的平面问题。
Full Text
One of the goals of this work is a definition of a new representation of the solution of the plane problem of the theory of elasticity through the complex-valued harmonic potentials included in the Papkovich-Neuber relations represented in a symmetric form, which is convenient for applications.
这项工作的目标之一是通过以对称形式表示的 Papkovich-Neuber 关系中包含的复值调和势来定义弹性理论平面问题的解的新表示，这便于应用程序。
这项工作的目标之一是通过以对称形式表示的 Papkovich-Neuber 关系中包含的复值调和势来定义弹性理论平面问题的解的新表示，这便于应用程序。
Full Text
Solutions to the typical problems of elastoplasticity, including planar problems in elastic mechanics, stress function, examples of plane problems in Cartesian coordinates and polar coordinates, etc.
弹塑性典型问题的解决方案，包括弹性力学中的平面问题、应力函数、笛卡尔坐标和极坐标中的平面问题实例等。
弹塑性典型问题的解决方案，包括弹性力学中的平面问题、应力函数、笛卡尔坐标和极坐标中的平面问题实例等。
Full Text
The plane problem of mechanics of contact fracture for the hub of a friction pair during operation is studied.
研究了摩擦副轮毂在运行过程中接触断裂力学的平面问题。
研究了摩擦副轮毂在运行过程中接触断裂力学的平面问题。
Full Text
We present a rigorous treatment to the plane problem of a thermoelectric medium with collinear cracks subjected to remote uniform thermal–electric loads based on the complex variable method.
基于复变法，我们对远程均匀热电载荷作用下具有共线裂纹的热电介质的平面问题进行了严格的处理。
基于复变法，我们对远程均匀热电载荷作用下具有共线裂纹的热电介质的平面问题进行了严格的处理。
Full Text
Due to completely trace the equilibrium paths of plane problems, especially those with snap-through behavior, a Generalized Displacement Control Method (GDCM) is used as a nonlinear solver.
由于完全跟踪平面问题的平衡路径，特别是那些具有快速通过行为的问题，广义位移控制方法 (GDCM) 被用作非线性求解器。
由于完全跟踪平面问题的平衡路径，特别是那些具有快速通过行为的问题，广义位移控制方法 (GDCM) 被用作非线性求解器。
Full Text
An analytic solution to the anti-plane problem of an arbitrary inclusion within an elastic bimaterial under the premise of linear eigenstrains is developed.
在线性本征应变的前提下，对弹性双材料内任意夹杂物的反平面问题进行了解析解。
在线性本征应变的前提下，对弹性双材料内任意夹杂物的反平面问题进行了解析解。
Full Text
84) referring to the spatial setting (\(n=3\)) differs from the plane setting (\(n=2\)), since in the plane problem, the number of the bounds is equal to the number of the adjoint principal strains and in some regimes the following equalities can be fulfilled \(\displaystyle \varepsilon _{II}=-\frac{\sigma _0}{\sigma _C}\), \(\displaystyle \varepsilon _{I}=\frac{\sigma _0}{\sigma _T}\), while in the spatial problem we may have \(\displaystyle \varepsilon _{III}=-\frac{\sigma _0}{\sigma _C}\), \(\displaystyle \varepsilon _{I}=\frac{\sigma _0}{\sigma _T}\), with \(\varepsilon _{II}\) attaining neither of the bounds.
84) 指空间设置 (\(n=3\)) 与平面设置 (\(n=2\)) 不同，因为在平面问题中，边界的数量等于伴随的数量主要菌株和在某些情况下可以满足以下等式 \(\displaystyle \varepsilon _{II}=-\frac{\sigma _0}{\sigma _C}\), \(\displaystyle \varepsilon _{I}= \frac{\sigma _0}{\sigma _T}\)，而在空间问题中我们可能有\(\displaystyle \varepsilon _{III}=-\frac{\sigma _0}{\sigma _C}\)， \(\displaystyle \varepsilon _{I}=\frac{\sigma _0}{\sigma _T}\)，其中 \(\varepsilon _{II}\) 没有达到任何界限。
84) 指空间设置 (\(n=3\)) 与平面设置 (\(n=2\)) 不同，因为在平面问题中，边界的数量等于伴随的数量主要菌株和在某些情况下可以满足以下等式 \(\displaystyle \varepsilon _{II}=-\frac{\sigma _0}{\sigma _C}\), \(\displaystyle \varepsilon _{I}= \frac{\sigma _0}{\sigma _T}\)，而在空间问题中我们可能有\(\displaystyle \varepsilon _{III}=-\frac{\sigma _0}{\sigma _C}\)， \(\displaystyle \varepsilon _{I}=\frac{\sigma _0}{\sigma _T}\)，其中 \(\varepsilon _{II}\) 没有达到任何界限。
Full Text
Based on the transformations of the field variables, we construct a solutions for the coupled anti-plane problem of gradient electroelasticity by using known solutions for the uncoupled problem of the strain gradient elasticity and similar problem of gradient electrostatics.
基于场变量的变换，我们利用应变梯度弹性的非耦合问题和梯度静电的类似问题的已知解，构造了梯度电弹性耦合反平面问题的解。
基于场变量的变换，我们利用应变梯度弹性的非耦合问题和梯度静电的类似问题的已知解，构造了梯度电弹性耦合反平面问题的解。
Full Text
The analysis of the properties of the scattering coefficients depending on the physical parameters is carried out for three diffraction problems: a finite periodic system in a scalar formulation, an infinite periodic system in a scalar formulation, an infinite periodic system in a plane problem of the elasticity theory.
根据物理参数分析散射系数的性质是针对三个衍射问题进行的：标量公式中的有限周期系统，标量公式中的无限周期系统，平面问题中的无限周期系统弹性理论。
根据物理参数分析散射系数的性质是针对三个衍射问题进行的：标量公式中的有限周期系统，标量公式中的无限周期系统，平面问题中的无限周期系统弹性理论。
Full Text
In [7–9], plane problems with simpler structure of the cubic QCs have been studied for static case.
在 [7-9] 中，研究了具有更简单结构的立方 QC 的平面问题，用于静态情况。
在 [7-9] 中，研究了具有更简单结构的立方 QC 的平面问题，用于静态情况。
Full Text
The half-plane problem is solved via classical technique based on Cauchy-type integrals.
半平面问题是通过基于柯西型积分的经典技术解决的。
半平面问题是通过基于柯西型积分的经典技术解决的。
Full Text
For the anti-plane problem in anisotropic medium, three elastic constants can describe the characteristics of medium anisotropy according to the generalized Hooke’s Law.
对于各向异性介质中的反平面问题，三个弹性常数可以根据广义胡克定律描述介质各向异性的特征。
对于各向异性介质中的反平面问题，三个弹性常数可以根据广义胡克定律描述介质各向异性的特征。
Full Text
In case of the plane problem, the distribution of normalized hoop and radial stresses were obtained for the action of non-stationary impulse load, which was applied to the boundary of cavity cross-sections.
在平面问题的情况下，得到了应用于空腔截面边界的非平稳冲击载荷作用下的归一化环向应力和径向应力分布。
在平面问题的情况下，得到了应用于空腔截面边界的非平稳冲击载荷作用下的归一化环向应力和径向应力分布。
Full Text
An analytical solution is proposed for a plane problem on the action of non-stationary pressure on a layer of compressible fluid.
针对非平稳压力作用于可压缩流体层的平面问题，提出了解析解。
针对非平稳压力作用于可压缩流体层的平面问题，提出了解析解。
Full Text