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1)  nonlocal inelastric theory
非局部非弹性理论
2)  nonlocal elasticity
非局部弹性理论
1.
In this paper, the linear nonlocal elasticity is modified by considering the influence of nonlocal residual force.
本文通过考虑局部化残余力的影响对线性非局部弹性理论进行了修正,由修正后的理论所导出的应力边界条件包含了物体微观结构的长程力的作用,这个结果不仅解释了在裂纹混合边界值问题中线性非局部弹性理论方程的解在常应力边界条件下不存在的问题,而且可以自然地得到裂纹尖端的Barenblatt分子内聚力模型。
2.
The reported research on carbon nanotubes(CNTs) is introduced, and then statics, buckling and dynamics of CNTs are studied on the basis of micropolar and nonlocal elasticity appropriate to microscopic mechanics,respectively.
本文综述了碳纳米管国内外研究现状及进展,然后在总结前人研究成果的基础上,应用适合于研究微观力学的微极性弹性理论和非局部弹性理论对碳纳米管的静力学、屈曲以及动力学性能进行了研究。
3)  nonlocal elasticity theory
非局部弹性理论
1.
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。
2.
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。
4)  nonlocal asymmetric elasticity
非局部非对称弹性理论
1.
In this paper the equations of motion and all boundary conditions as well as the energy equation for nonlocal asymmetric elasticity are derived together from the complete principles of virtual work and virtual power as well as the generalized Piola theorem.
从完全的虚功和虚功率原理以及广义Piola 定理出发一并推导出非局部非对称弹性理论的运动方程、所有边界条件和全能量方程· 把这里给出的边界条件和高键,戴天民的相应结果加在一起即可表述非局部非对称线性弹性理论的混合边值问题
5)  nonlocal elasticity
非局部弹性
1.
In this paper, the basic problems of nonlocal theory are summarized, meanwhile the nonlocal theory is applied into the dynamic analysis of nonlocal elasticity, static and dynamic analysis of nonlocal viscoelasticity.
非局部弹性理论的应用研究是非局部理论研究的热点。
2.
The effect of microstructure characteristic by nonlocal elasticity on the dispersion of flexural wave becomes more and more remarkable with increasing wave number.
建立流体存在时考虑二阶应变梯度的非局部弹性Timoshenko梁方程。
6)  nonlocal theory
非局部理论
1.
Research on infinite strip of functionally graded material using nonlocal theory;
无限长条功能梯度材料的非局部理论分析
2.
In order to circumvent the mesh dependence of damage localization, the nonlocal theory is adopted.
为了解决损伤局部化问题的网格依赖性,采用非局部理论,从损伤本构关系中引入特征长度入手,建立非局部损伤本构模型。
补充资料:非局部弹性固体
      考虑非局部效应的弹性固体模型,广义连续介质力学的研究对象。它是古典弹性固体模型的推广和扩充。与古典弹性固体不同,在非局部弹性固体中长程分子间相互作用力是重要的。各向同性线性非局部弹性固体的本构方程如下:
  
  
  
  
  
  
  ,式中λ和μ 以及λ┡(|x-x┡|)和μ┡(|x-x┡|)分别为局部弹性模量和非局部弹性模量;tij为应力张量;eij为应变张量;V 为物体所占据的体积;x 为所考察点的位置矢量;x┡为所有其他点的位置矢量;δij为克罗内克符号(见张量)。上式中的积分项反映弹性固体中的非局部效应。若略去这个非局部效应项,则
  
  
  
   。这便是古典弹性力学中各向同性线性弹性固体的本构方程。
  

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