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. 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。
The correlation was established between resolved Shear Stress, strain and macroscopic stress, strain by orientation tensor. 采用滑移系的取向因子,详细分析了三类滑移系族不同取向取向滑移系分切应力、应变和宏观应力、应变之间的关系。
Quality Analysis of Digitalized Map By Using Strain Tensor 扫描数字化图质量的应变张量评估法
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. 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。
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. 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 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. 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。
The stress and strain tensors on the edge of the notch were analyzed by elasticity mechanics method and elasto-plastic finite element method, respectively. Relations between the site of crack initiation and each stress and strain tensor were investigated. 分别采用弹性力学方法及弹塑性有限元方法对多轴加载下缺口试件缺口孔边应力应变进行分析,探讨疲劳裂纹萌生位置与孔边应力、应变的关系。
A note on the accurate expression of strain tensor 关于壳体有限变形的准确应变张量表达式的一点注记
According to the concept of strain energy of cracked materials, the orientation tensor of crack is defined. 本文从含微裂纹材料的变形能出发引出了裂纹的方位张量。
Based on the definition of strain tensor in orthogonal coordinate system, the strain on ellipsoid with geodetic coordinates is obtained in this paper. 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。
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. 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。
And, in a sense, proposition ( 3) may enable us to de-duce the displacements from the approximate strain tensor obtained by stress variation. 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。
A new rate-dependent damage constitutive model for simulating the mechanical behaviors of concrete working in seismic condition is established by introducing the effect of strain rate into the damage tensor. 本文通过在损伤张量中引入应变率的影响,提出了应变率相关的混凝土弹塑性损伤模型,用来模拟混凝土材料在动力工况下的力学行为。
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. 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 coupling shape function is obtained by Green's strain tensor the assumption of small deformation of the arbitrary flexible body. 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。
In this paper, the computation of large deformation is introduced into strain analysis from Moire fringe patterns. Applying 2& dimensional cubic spline approximation to fit the displacements in the plane considered, the distribution of the strain tensor is computed. 本文将大变形理论用于云纹法的应变分析中,采用二维样条函数插值、拟合位移的分布,计算了应变张量的分布。
An Analysis to the Strain Tensor of Osteoblasts Spreading on Substrate in Both Uniaxial and Biaxial Tensile Loading Experiments 拉伸基底加载成骨类细胞内应变张量分析
Using this new definition we deduce the transformation formulas for the rotation of coordinate axes, erect the strain tensor and verify the Hooke's law for shearing. 文中还利用新的角应变定义证明了转轴公式,组成了应变张量和证明了剪切虎克定律。
This paper shows that for a static cohesionless granular material simply averaging in space the strains inside grains does not result in its macroscopic strain, so the fields of displacement vector and strain tensor do not have the property of coarse-graining. 文章指出通过空间平均每个颗粒内应变的方法不能得到无粘性颗粒材料的宏观应变,位移矢量场和应变张量场一般没有粗粒化平均性质。
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. 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。
Equivalent Strain Tensor in the Gauge Field Theory of Dislocation Continuum 位错连续统规范理论中的等价应变张量
In the second part the constitutive elastic-plastic theory is Studied The consistency of the multiplication decomposition of deformation gradient and the addition decomposition of strain tensor is demonstrated. 第二部分研究大变形塑性理论。
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. 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;
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. 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。
With the elasto-plastic material model introduced into the equilibrium equation, the large displacement and strain Considered, and Jaumann stress and strain velocity tensor used, The compaction grouting in saturated porous elasto-plastic material was simulated. 7. 将弹塑性模型引进平衡方程,同时考虑大位移大应变情形,采用Jaumann应力速率张量和应变速率张量进行计算,并将其应用于弹塑性饱和多孔介质压密注浆数值模拟。
Consequently an analytical equation in terms of porosity, strain and spherical stress tensor is put forward by virtue of logarithmic strain, the plastic condition and the physical equation of pore mechanics. 为此,本文利用对数应变和孔隙力学的塑性条件及物理方程,建立了孔隙率与变形和应力球张量的解析关系式,进而得到了疏松缺陷压实的修复条件。
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. 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。
To extend IGA into FMS, a Green-Lagrange strain tensor based method is proposed to solve the large rotation and deformation coupled problems. 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。
The model has not only considered the temperature field and strain field coupling effect, and introduces Green Strain tensor in the small distortion analysis. 模型不仅考虑了温度场和应变场的耦合效应,并且在小变形分析的基础上引入格林应变张量,使应变计算不受位移大小的限制。
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. 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。