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应变张量

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In this paper, a "rigid bar relative movement model" was established to illustrate the traces of the helices in wire ropes. The angular speed of a moving particle of the model was relatives to curvature tensor to derive the curvature components and torsion of helices in multi-layer wire ropes. According to long and thin rod theory of Love and Yen-Chen's theoretical model considered the contact force and frictional force, the force-deformation or force-strain relative of wire in curved wire ropes subjected axial force is derived from the curvature components and curvature increment.

本研究改以刚杆相对运动模型,直接描述钢索中钢绞线轨迹,并且透过角速度类比曲率张量之概念,推导圆弧型多层钢索内部之钢铰线之曲率分量与扭率;之后再依据Love的细长杆理论,辅以Yen-Chen在考虑接触力及摩擦力下所修正之理论模型,以曲率及曲率增量来探讨圆弧型钢索受静态荷重作用下,钢绞线之受力与变形或应变关系。

In the paper, the relation between stress and strain of transverse isotropic material and isotropic material is deduced.

用对张量函数求导的方法导出了横观各向同性材料和各向同性材料的应力应变关系式的一般形式。

The basic theory of finite deformation is also studied in this paper's appendix, and the metric tensor for stress, strain and their equations between different configurations are derived.

本文还在附录中简要系统介绍了前人给出的有限变形基本理论,针对板料成形建立了应力应变度量张量及其相应的转换关系。

To establish the constitutive equation of material, the metric tensor for stress , strain and their transformation equations between different configurations are derived, and basic theory of finite deformation as well as elasto-plastic deformation criterion are studied. By analyzing the applicability of different element models, four-node quadrilateral degenerated Mindlin isoparametric element is adopted because of its good versatility, and the element stiffness matrix is derived. The static implicit elasto-plastic finite element equation for complex skin stretch-forming is put forward based on Updated Langrange formulation.

本文首先系统地阐述了有限变形的相关基本理论,针对板料成形建立了应力应变度量张量及其相应的转换关系;介绍了材料的屈服准则、塑性变形强化规律、塑性流动规律以及加、卸载准则,并在此基础上建立了有限变形各向异性弹塑性本构方程;对板料成形的单元模型进行了分析,针对飞机蒙皮零件特点,采用通用性强的四节点四边形退化Mindlin等参壳单元进行成形模拟,并导出其单元刚度矩阵的具体形式;基于以上研究,以逐级更新Langrange描述的持续虚功率原理为基础,建立了率形式的复杂蒙皮拉形过程静态隐式弹塑性有限元方程。

In this thesis, we provide myocardial fiber architecture and mechanical function non-invasively and in vivo by using cardiac diffusion tensor imaging and strain rate magnetic resonance imaging in beating heart.

本研究的重点是利用扩散张量与应变速率磁振造影技术於活的且跳动的心脏上,提供了非侵犯性(non-invasive)、活体上分析心脏的心肌纤维结构与功能的影像技术。

MSG and SG theory are generalized to compressible material based on a new decomposition of strain gradient tensor, because the original MSG and SG theories are only suitable for incompressible materials.

因为原先的MSG和SG理论只能适用于不可压缩材料,所以在重新分解应变梯度张量的基础上,本文把MSG和SG理论拓展到可压缩材料。

According to the concept of strain energy of cracked materials, the orientation tensor of crack was defined. Considering the crack-closing and friction between crack surface under compression, The damage tensor, damage strain and effective elastic modulus were formulated. A method for discrete description of damage mechanism was given, and the evolution equation of discrete orientation density of crack was obtained. The relationship of micromechanism and the macro-representation of concrete failure were studied.

从含裂纹材料的变形能出发,引出了裂纹的方位张量;在考虑裂纹受压闭合与滑动摩擦的基础上,给出了损伤张量、损伤应变和有效弹性系数的表达式,在损伤机构离散化方法的基础上,给出了方位密度的演化方程;将上述损伤理论应用于混凝土的损伤分析,研究了混凝土破坏的微观机制与宏观表现的关系及Griffith准则和Mohr-Coulomb准则的相似性问题,对修正的Griffith准则进行了改进。

MSG and SG theory are generalized to compressible material based on a newdecomposition of strain gradient tensor,because the original MSG and SG theoriesare only suitable for incompressible materials.

因为原先的MSG和SG理论只能适用于不可压缩材料,所以在重新分解应变梯度张量的基础上,本文把MSG和SG理论拓展到可压缩材料。

Following the constraint of AMFI on the SGS stress model, a non-linear SGS stress model is developed, based on the tensor algebra and Taylor expansion theory, in terms of resolvable strain rate tensor and rotation tensor.

根据旋转湍流SGS模型的建模规则,利用张量代数和Taylor近似理论发展了一种由大涡应变率和旋转张量构成的非线性SGS应力模型,并满足AMFI条件。

First, based on the relations of stress and strain between the whole medium and its macroscopically isotropic constituents, an explicit relation between elastic matrices of the whole medium and its constituents was derived. Combining the explicit relation of elastic matrices with the strain's relation, two coefficient tensors were defined and analyzed to get a general relation between the hulk and shear modulus of the whole medium under the assumption that all the field variables are in a unified coordinate system. Secondly, combining these relations with the classical Hashin-Shtrikman elastic modulus bounds, four new expressions of elastic medium of the whole medium were obtained and compared with the original hounds. Last, these formulae were applied in the computation of effective elastic moduli of clean sandstone saturated with pore water.

首先基于整体介质与宏观各向同性组分满足的应力和应变组分关系,推导出整体介质弹性矩阵与组分弹性矩阵之间的显式关系,联合其应变关系,定义和分析了对应的两个系数张童,并据此导出了相关场变量位于统一坐标系时整体介质体积模量与剪切模量的关系;然后将经典的Hashin-Shtrikman弹性模量边界模型与上述关系式结合,得到4个新的整体介质弹性模量的估算公式,再与原始的Hashin-Shtrikman弹性模量边界进行了比较,最后针对饱和水纯净砂岩介质进行了试算。

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推荐网络例句

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊!不用提了。提到肉,真是糟透了。

Tristan, I have nowhere to send this letter and no reason to believe you wish to receive it.

Tristan ,我不知道把这信寄到哪里,也不知道你是否想收到它。