Firstly transforms Cartesian coordinates of stress tensor,which in Navier-Stokes equation,to spherical coordinate,then does vector transform of spherical coordinate to Navier-Stokes equation.
本文利用过渡矩阵,先把Navier-Stokes方程中的粘滞应力张量由笛卡儿坐标系变换到球坐标系,然后对Navier-Stokes方程进行球坐标列矢量变换。
Comparing with these viscoelastic strain increment expressions,it is concluded that for linear viscoelastic model,if the viscoelastic deformation law under different stress states,such as stress tensor,deviation stress and bulk stress,are the same,their parameters yield as Ek/ηk=Gsk/ηsk=Kmk/ηmk.
对不同应力分量下的广义开尔文模型应力应变关系进行了研究,推导了在不同应力分量下的广义开尔文模型的粘性应变增量计算式;通过对这些粘性应变增量计算式的比较分析,得到结论:对于线性粘弹性模型,当应力张量引起粘性变形的规律与应力偏量和球应力分别引起粘性变形的规律相同时,它们的系数满足关系式Ek/ηk=Gsk/ηsk=Kmk/ηmk;否则,这个关系式不成立。
Based on the theory of matrix, this paper focuses on the similarity of stress tensor in different coordinate systems and then an instance performed by Ansys and Matlab is given to validate this conclusion.
以矩阵论的相关理论为依据,论证在不同的坐标系下,应力张量满足相似变换的特性;并通过Ansys有限元分析软件与Matlab数值计算软件构建实验平台对此加以验证。
Based on definition of strain energy function,increment formula of stationary potential energy of finite displacement theory were derived in terms of Kirchhoff stress tensor and Green strain tensor.
基于有限位移理论应变能密度函数的定义,利用Kirchhoff应力张量和Green应变张量,推出了非线性分析中增量形式的势能驻值公式,并证明了由势能增量驻值原理得到的增量平衡方程形式与由虚位移原理所得的结果完全一致。
Then the applicability of both Kirchhoff stress tensor and Lagrange strain tensor are studied to describe the stress and strain field of these structures.
文中探讨了正装结构非线性的分析特点,研究了其应变场与应力场的Kirchhoff应力张量与Lagrange应变张量的适用性,提出了正装结构非线性分析中应力场与应变场的累加规律,导出了拖动坐标法的虚功增量方程,以此对杆系结构非线性分析常用的CR法和UL列式进行了精度比较分析。
From the basic formula of coulomb force and ampere force,together with the concept of electric stress tensor, the mathematic formula of electric force and magnetic force is deduced in this article.
从库仑力和安培力的基本公式出发,引用电应力张量和磁应力张量的概念,导出计算电场力和磁场力的简单数学表示式。
maxwell energy stress tensor
麦克斯韦能量应力张量
Conservation of Mass. Conservation of Momentum. Stress Tensor.
质量守恒,动量守恒,应力张量。
piola kirchhoff stress tensor
皮奥拉 基尔霍夫应力张量
Maxwell Electromagnetic Stress Tensor and Electromagnetic Solid Dynamics
麦克斯韦电磁应力张量和电磁固体耦合动力学
Application of Maxwell stress teusor integral equation in resolving the force
麦氏应力张量积分方程在计算介质受力上的应用
Applying VB in Calculation of Pre-stress Elongaton
VB在预应力张拉伸长量计算中的应用
Tensor Analysis and Its Application ?
张量分析及其力学中应用
One third of the tensor is often called the bulk stress.
张量的三分之一通常称为体应力。
On calculation of extension length for steel strand with post-tensioned prestress and measurement control
后张法预应力钢绞线伸长量的计算与测量控制
Algorithms and Applications for Nonnegative Tensor Factorization
三维非负张量分解及其在反应动力学中的应用
Application of Wavelet Transform to Cable Tension Measurement
小波变换在缆索张力测量中的应用研究
Precast Technology and Quality Control of 30m Post-tensioned Prestressing I-beam;
30米后张法预应力工字梁预制工艺及质量控制
Construction Method Improvement and Quality Control of Post - Tensioned Concrete Elements;
后张法预应力构件施工改进及质量控制
Study on the Theories and Applications of the "Ejection Method" Measuring the Membrane Structure's Pretension
“弹射法”测量膜结构预张力的理论及应用研究
Magnetic gradient tensor and its application on dipole localization
磁力梯度张量及在磁偶极子定位中的应用
The construction quality control of 32m post-tensioned prestressed concrete
32m后张法预应力混凝土箱梁施工质量控制
Key of controlling prestressing quality in post-tensional continuous beam
后张连续梁中预应力质量控制的关键工序
Quality control of cross-40m post-tensioned prestressed concrete T-beam
40m跨后张法预应力混凝土T型梁质量控制
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