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非局部弹性理论
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  nonlocal elasticity
     New Points of View on the Nonlocal Field Theory and Their Applications to the Fracture Mechanics(Ⅲ)——Re_Discuss the Linear Theory of Nonlocal Elasticity
     关于非局部场论的几个新观点及其在断裂力学中的应用(Ⅲ)——重论线性非局部弹性理论
短句来源
     Criteria for crack propagation of ceramic materials are deduced from nonlocal elasticity theory in this paper.
     本文根据非局部弹性理论推导了陶瓷材料的裂纹扩展准则。
短句来源
     The Nonlocal Elasticity And Griffith Crack Problem
     非局部弹性理论与Griffith裂纹问题
短句来源
     STUDY OF AN ANNULAR CRACK IN NONLOCAL ELASTICITY
     非局部弹性理论环状裂纹问题
短句来源
     The theoretical calculation formula for the plane strain fracture toughness of mode Ⅰ and Ⅱ cracksof ceramic materials is deduced in this paper by using the nonlocal elasticity theory and maximum tensile stress criterion.
     利用非局部弹性理论和最大拉应力准则,推导了陶瓷材料Ⅰ、Ⅱ型裂纹平面应变断裂韧度的理论计算公式。
短句来源
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  nonlocal elasticity theory
     Criteria for crack propagation of ceramic materials are deduced from nonlocal elasticity theory in this paper.
     本文根据非局部弹性理论推导了陶瓷材料的裂纹扩展准则。
短句来源
     The theoretical calculation formula for the plane strain fracture toughness of mode Ⅰ and Ⅱ cracksof ceramic materials is deduced in this paper by using the nonlocal elasticity theory and maximum tensile stress criterion.
     利用非局部弹性理论和最大拉应力准则,推导了陶瓷材料Ⅰ、Ⅱ型裂纹平面应变断裂韧度的理论计算公式。
短句来源
  “非局部弹性理论”译为未确定词的双语例句
     NONLOCAL ELASTIC THEORY WITH BODY MOMENTS
     具有非局部体力矩的非局部弹性理论
短句来源
     On Stress Boundary Conditions in the Nonlocal Linear Elasticity Theories
     关于线性非局部弹性理论的应力边界条件
短句来源
     Buckling of a single wall carbon nanotube under an axial pressure based on the nonlocal elastic theory
     基于非局部弹性理论的单壁碳纳米管轴向受压屈曲研究
短句来源
     Vibration of Carbon Nanotubes Based on the Nonlocal Elastic Theory
     基于非局部弹性理论的碳纳米管振动特性研究
短句来源
     Stress boundary condition in the nonlocal linear elasticity theories is an unsolved problem.
     应力边界条件的提法是线性非局部弹性理论尚未解决的一个理论问题。
短句来源
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  nonlocal elasticity
In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary condition does not exist.
      
The contents studied contain of examining objectivity of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocal force and the linear nonlocal elasticity theory.
      
In this paper, it is proven that the balance equation of energy is the first integral of the balance equation of momentum in the linear theory of nonlocal elasticity.
      
When time approaches infinite, the strain of bar is equal to the one of nonlocal elasticity.
      
The image force on a dislocation near an elliptic hole in nonlocal elasticity
      
更多          
  nonlocal elasticity theory
In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary condition does not exist.
      
The contents studied contain of examining objectivity of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocal force and the linear nonlocal elasticity theory.
      
To eliminate the singularity of the stress field at the crack tip, the nonlocal elasticity theory is adopted.
      
Determination of moduli in nonlocal elasticity theory
      


In the first part of our paper, we have extended the concepts of the classical convolution and the "convolution scalar product" given by I. Hlavacek and presented the concepts of the "convolution vector" and the "convolution vector scalar product", which enable us to extend the initial value as well as the initial-boundary value problems for the equation with the operator coefficients to those for the system of equations with the operator coefficients.

在本文的第一部份中.我们扩展了经典的卷积和I.Hlavácěk给出的“卷积数积”的概念,提出了“卷积向量”和“卷积向量点积”的概念.从而可使我们把具有算子系数的方程的初值问题和初值——边值问题推广到具有算子系数的方程组的相应问题中去。在本文的第二部份中,以卷积向量和卷积向量点积的概念为基础导出了非均匀的各向异性固体的非局部微极线性弹性动力学的两种基本型式的互易定理。在本文的第三部份中,利用一和二中卷积向量和卷积向量点积的概念和结论及由钱伟长提出的Lagrange乘子法给出了非局部微极线性弹性动力学的四种主要型式的广义变分原理。它们是与经典弹性理论中的胡海昌-鹫津久一郎型的、Hellinger-Reissner型的和Gurtin型的以及局部微极弹性理论和非局部弹性理论中的Hlavácěk型的和Iesan型的广义变分原理相应的各种变分原理。最后还指出了这里提出的后两种主要型式的广义变分原理是等价的。

The infinite plane problem of nonlocal elasticity has been reduced to a six-order partial differential equatian by using a new nonlocal kernel.The general solutions are given formally. Based on this we deal with the Griffith crack problem again and arrive at a conclusion that the stress on the crack tip is finite in agreement with Eringen’s [4].

本文引用新的非局部核将非局部弹性理论的无限平面问题化为求解一个六阶偏微分方程并给出了一般形式解。在此基础上重新求解了Griffith裂纹问题,得到了与Eringen[4]一致的、在裂纹尖点应力有界的结论。

The paper is the first one to deal with the edge crack in an infinite half plane of nonlocal elasticity. The singular perturbation method has been used for the treatment of″the noniocal edge effect″. It is verified by the results of the paper that the stress on the crack tip is finite, so the great value of nonlocal model to fracture mechanics is demonstrated again.

本文第一个按照非局部弹性理论求解了半无限平面边缘裂纹问题。为处理自由边界的“非局部边界层效应”,应用了奇异摄动方法,结果表明在裂纹尖点应力是有界的,再次证实了非局部理论模型对于断裂力学问题的正确性。

 
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