应变张量

首先，从应变张量出发，运用Hamilton原理推导出旋翼浆叶全耦合运动偏微分-积分方程组；

Starting from the strain tensor and applying Hamilton s principle , the integral , partial differential equations of motion for elastic flap bending , lead-lag bending and torsion of the blade are derived .

利用GPS观测的速率（或位移）计算网格点附近小区域的应变张量和转动的欧拉极，再运用聚类分析法对计算的欧拉极进行分类，由此划分出地壳活动的次级块体。

In this paper , we calculate the strain tensor and Euler pole by velocity or displacements measured by GPS in the small area about grid points , and classify the calculated Euler pole by cluster analysis method , and thus the present crustal sub blocks are divided .

在小变形条件下，用Green应变张量得到了柔性体的耦合形函数。

The coupling shape function is obtained by Green 's strain tensor the assumption of small deformation of the arbitrary flexible body .

以Kirchhoff应力张量-Green应变张量表示本构关系的粘弹性大变形平面问题的有限元法

The finite element method of viscoelastic large deformation plane problem with Kirchhoff stress TENSORS-GREEN strain tensors constitutive relation

利用Green应变张量在随动坐标系中建立一维桁架单元的精确全量平衡方程，然后将其转化成固定空间坐标系中的全量平衡方程，并由此导出精确的切线刚度。

In the paper , the accurate total equilibrium equation of one dimensional lattice element in the coordinate has been given by using Green Strain Tensor , then it is changed into one in the fixed three dimensional coordinate , so we can get the accurate tangent stiffness matrix .

陈至达先生用其创立的S-R理论，建立了壳体有限变形、有限转动的准确几何方程，而以前常用的经典应变张量的近似表达式均为陈先生准确方程的近似。

The accurate expressions of strain tensors are established by S R theory and all the approximate expressions of strain tensors used before are its corollaries .

为了将这种方法扩展至柔性多体系统动力学研究领域，本文提出了一种基于Green-Lagrange应变张量方法，使等几何分析方法适用于解决柔性系统大转动、大变形相耦合的问题。

To extend IGA into FMS , a Green-Lagrange strain tensor based method is proposed to solve the large rotation and deformation coupled problems .

其间，导出了其壳体黎曼空间中的Green－Lagrange应变张量和第二类Piola－Kirchhoff应力张量的表达形式，并通过虚功原理，建立了薄壳结构的非线性平衡关系。

Also derived in the paper are the Green-Lagrange strain tensor and the second Piola-Kirchhoff stress tensor in the Riemann space of the shell . Finally , on the basis of the virtual work , the non-linear equilibrium equations of thin-shell structures are developed .

位错连续统规范理论中的等价应变张量

Equivalent Strain Tensor in the Gauge Field Theory of Dislocation Continuum

大变形应变张量的正定不等式

Positive-Definite Inequalities for Strain Tensors of A Continuum Deformed Remarkably

关于壳体有限变形的准确应变张量表达式的一点注记

A note on the accurate expression of strain tensor

扫描数字化图质量的应变张量评估法

Quality Analysis of Digitalized Map By Using Strain Tensor

对于弹塑性损伤变形，可以通过不同的极分解途径，而得到各种定义的变形梯度张量和相应的应变张量。

Deformation gradient and relevant strain tensors are obtained by different pole decomposing methods .

胁强[应力]-形变图非线性超弹性体应力应变张量与应变能函数之间的微积分关系

The Differential / Integral Relations between Stress-strain Tensor and Strain Energy Function of Nonlinear Elastic Solids

拉伸基底加载成骨类细胞内应变张量分析

An Analysis to the Strain Tensor of Osteoblasts Spreading on Substrate in Both Uniaxial and Biaxial Tensile Loading Experiments

从本构方程理论出发，分别讨论该关系式与松驰模量形式及有限应变张量形式间的关系。

On theory the relationships of the C & M rule with the relaxation modulus and with the convected deformation tensor are discussed .

根据正交曲线坐标中应变张量的定义，得到了用大地坐标在椭球面上计算应变的方法。

Based on the definition of strain tensor in orthogonal coordinate system , the strain on ellipsoid with geodetic coordinates is obtained in this paper .

应力张量，作为以单个应变张量为变量的张量值函数，用含有高阶弹性张量的张量多项式来表示。

As a tensor-valued function with a single tensor variable , i.e. strain , stress is expressed as a tensor polynomial that contains high order elasticity tensors .

命题〔3〕说明，在某种意义下可利用应力变分所得的近似应变张量导出位移。

And , in a sense , proposition ( 3 ) may enable us to de - duce the displacements from the approximate strain tensor obtained by stress variation .

本文采用线性化共旋应变张量和增率型虚功原理，建立了有限变形热力耦合弹塑性有限元法。

The paper establishes a thermomechanical coupled elasto plastic finite element method for finite deformations , by employing a linearized co rotational strain tensor and incremental virtual work principle .

在大变形情况下，考虑应变张量的非线性关系由轴向位移和受干扰的横向位移估计值来重构精确的横向位移。

When the tis - sue is in the condition of large deformation , considering the nonlinear representation of the strain tensor , lateral displacement reconstructed from axial displacement and noisy lateral displacement .

第一组基张量由单位化的单位张量、单位化的偏应力（或弹性偏应变张量）以及一个正交于前两者的单位偏张量组成。

The first set consists of the normalized identity tensor and the normalized deviatoric stress tensor ( or deviatoric elastic strain tensor ) along with a unit deviatoric tensor orthogonal to both of them .

对于形变理论，假定塑性应变张量与总应变偏量张量成比例，其比例因子是总有效应变的标量函数。

For plastic deformation theory , it is assumed that the plastic strain tensor is proportional to the total strain deviation tensor and the ratio is a sealer ' function of the effective total strain .

位移矢量存储在单元节点上，应变张量和应力张量都存储在单元中心上。

The displacement vector is stored on the cell vertex and a vertex based finite volume are formed with the integral surface and the strain tensor and stress tensor are assumed as uniform in the cell .

根据本构原理与功共轭原理，采用第二Piola-Kirchhoff应力张量与Green应变率张量建立了纤维束挤压阶段的斜交本构方程。

On the basis of the constitutive principle and power conjugate principle , the second Piola-Kirchhoff stress tensor and Green strain rate tensor are ursed to construct the oblique constitutive equation , in which , incompressibility and inextensibility conditions are used .

水文应用Cesaro方法和作者的非线性应变-转动张量分解定理证明上述条件仅是必要的，尚不充分保证位移场的单值性与连续；

However , we prove in this paper by the method of Cesaro that this condition is necessary but not sufficient for the guarantee of single-valued , continuous displacement field .

基于一种位错动力学模型建立了非弹性应变率偏张量第二不变量与应力偏张量第二不变量之间的函数关系，由此给出一种粘塑性本构方程。

Based on a dislocation dynamic model , a dependence between the second invariants of the inelastic deformation rate and those of stress deviator is proposed and thus a rate-dependent visco / plastic constitutive equation is built .

并得到了ZnO在不同应变下的电光张量和非线性光学系数。

Especially , the electro-optic tensors and the nonlinear optical constants of ZnO with different strains are also obtained .

推导出损伤应变能释放率张量。

A release rate tensor of damage strain energy is derived .

在定义自然坐标系下的假定应变时参考了张量分量混合插值法和增强膜应变与剪切应变插值法。

The strategies used in the mixed interpolation of tensorial components approach and enhanced interpolation of membrane and shear strain method are employed in defining the assumed strains in the natural coordinates .