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1)  singular element
奇异元
1.
In this paper, the properties of singular elements and singular values are studied, and similar structure of finite-singular-valued l- groups and finite-valued l- groups, singular-valued l- groups and special-valued l- groups are set up.
研究了奇异元与奇异值的性质,并由此获得了有限奇异值l-群与有限值l-群及奇异值l-群与特殊值l-群类似的结构。
2.
G is said to be singular,if for any0<g∈G,there exists a singular element s∈G such that g≥s.
G称为奇异的,如果对于任意0奇异元s,使得g≥s。
3.
The characterization of singular elements and singular l groups are set up, and the properties and related structure of non Abelian singular l groups are studied.
通过建立奇异元以及奇异 l-群的刻划 ,研究了一般非可换的奇异 l-群的性质及相关的结
2)  singular element
奇异单元
1.
Creation and application of a new type of three-dimensional isoparametric singular element with 12 nodes
12结点三维等参奇异单元的构造和应用
2.
The characteristic of this model is:a new interface edge singular element model is derived based on the numerical fundamental solutions obtained from the finite element eigensolutions method.
该模型的独特之处在于:基于有限元特征法得到的奇异性场数值特征解建立了一种新型界面端奇异单元。
3.
The finite element analysis models of linear elastic fracture with 20-nodes substance element and cracking singular element were established.
提出采用20节点等参单元、裂缝奇异单元,建立了铺装层线弹性断裂力学有限元模型,通过裂缝尖端应力强度因子的计算,研究了钢桥面沥青铺装层破坏情况对裂缝扩展的影响。
3)  weakly singular element
弱奇异元
1.
The concepts of weakly singular element and weakly singular lgroup are introduced and the descriptions of them are established, by the way we study the properties and related structure of general weakly singular lgroups and partly improve the results of singular lgroups.
引入弱奇异元及弱奇异l-群的概念,通过建立弱奇异元及弱奇异l-群的刻划,研究了一般弱奇异l-群的性质及相关的结构,部分地改进了有关奇异l-群已有的结果。
2.
The concept of weakly singular elements is introduced in this paper.
引入了弱奇异元的概念,得到了若干重要性质和相关结果:1 L的每个非零元是弱奇异元当且仅当L∈A;2 L∈FS,则L的一个非零元g是弱奇异元当且仅当g是有限个基元素的并。
4)  singular elements
奇异单元
1.
As an analytical study, a 3D orthotropic FEM model is also adopted to pick up the singularity in the strain and stress at the crack tip, where singular elements are used around the crack tip.
考虑核工业石墨制备过程形成的各向异性特点,本文构建了三维各向异性有限元模型,采用奇异单元,计算模拟石墨裂纹尖端的变形和应力场。
5)  singular crack element
奇异裂纹元
1.
Secondly,3D singular crack elements at the tips of crack are established to simulate the crack propagation.
为确定铲槽的深度和宽度,基于线粘弹性三维有限元,首先确定发动机药柱点火发射时的危险部位;其次,在危险部位设置深度不同的裂纹,在裂纹尖端构建三维奇异裂纹元,模拟裂纹扩展,分别计算随着裂纹扩展所对应裂纹深度的各类应力强度因子,由此判断裂纹的稳定性,以确定是否需要对裂纹进行铲槽处理;最后,确定在危险裂纹处需要铲槽的深度与宽度。
2.
3D singular crack element was established on the crack tip by using finite element method.
采用有限元方法,在裂纹尖端构建三维奇异裂纹元,模拟裂纹扩展,分别计算随着裂纹扩展所对应裂纹深度的应力强度因子,得到了应力强度因子随裂纹深度的变化规律。
6)  singular isoparametric element
奇异等参元
1.
Based on the singular isoparametric element and fracture mechanics, this paper analyzes and discusses the problem about the singular crack in pavement structure under three types of load.
应用奇异等参元及断裂力学理论 ,对 3种荷载简化模式下路面单裂缝问题进行了数值分析 。
补充资料:春日书情寄元校书伯和相国元子
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全唐诗:卷269_2
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