Hooke law

Hooke's law was originally stated in this form, rather than in terms of stress and strain.

胡克定律的原意就是这样叙述的，并没有用应力和应变这类名词。

This character can be escribed by both particle motion equation and stress-strain constitutive equation ( I-e. the generalized Hooke's law) which are de-rived from elastic wave theory.

这一性质可以用弹性波动理论建立的质点运动方程和应力应变本构方程（即广义虎克定律）来描述。

I can take a spring like this one and stretch it to the point that it no longer behaves like Hooke's Law.

像这样一个弹簧，将它拉伸到，它不再能遵循胡克定律的点。

In other words, we abandon Hooke's Law, as I will show you also today with a demonstration.

换句话说，这里用不上胡克定律，我还要给你们，举一个例子。

The classical elasticity mathematics theory was established for ideal medium abiding Hooke law grimly, the earth medium is a viscoelastic medium with viscosity in fact, so elastic wave equation can not be used to describe the propagation of seismic waves in real media.

经典弹性数学理论是对精确遵守虎克定律的理想介质建立的，而实际大地介质是具有粘滞性的粘弹性介质，所以完全弹性波动方程不能够准确地描述地震波在实际介质中的传播过程。

So the wire, when it reaches the end of its Hooke's Law parameter space, 13% has only become longer by0.13%.

所以金属线，当它达到胡克定律的，参数空间极限，只会增长0。

Two Viewpoints to be Clarified Urgently in the Science of Vibration& Discussion for New Explanation about Hooke Law

振动学中两个亟待澄清的观点&兼谈对胡克定律的新表述

So Hooke's Law holds only within certain limitations.

因此胡克定律，仅适用于某特定范围。

The dynamic interlaminar stresses of rectangular composite material laminated plates with simply supported edges subjected to free vibration are studied beginning from basic geometric and differential equations and connecting with generalized Hooke's law.

本文从基本的几何方程和运动方程出发，结合广义虎克定律，研究了四边简支矩形复合材料层合板在受到横向自由振动时的动态层间应力。

Then, the strains, stresses and elastic energies for α-β quartz transformation were evaluated according to Hooke's law.

依据虎克定律以及高压下β石英的弹性参数，估算了α&β石英相转变时的应变、应力和应变能。

You'll be surprised how many springs really behave very nicely according to Hooke's Law.

你会惊讶的发现，有多少弹簧会巧妙地，按照胡克定律。

For sure, Hooke's Law is no longer active.

毫无疑问地，胡克定律不再适用。

A further analysis shows that the change of the state of the reservoir rock and fluid due to elasticity follow the state equation, not the Hooke's law.

进一步分析表明，抽油过程中油层岩石和液体由于弹性而引起的状态变化服从状态方程，虽与虎克定律有形式上的相似性，但并不是虎克定律。

Hooke's law postulates that the material has linear elastic behavior and we do not intend considering a different material.

虎克定律假定材料有线性弹性性质，而我们并不打算考虑与此不同的材料。

Because the stress field in three-point bending is not exactly same as the uniaxial stress field, the relationship between the two principal strains departures from Hooke's law.

由于三点弯曲过程中产生的非纯单向应力特性，使得两个主应变之间的关系偏离了虎克定律。

It obeys Hooke's Law, and it is also nearly massless.

它遵循胡克定律，几乎是无质量的。

With the four-parameter failure criterion presented in this paper, the influences are eliminated of the basic postulations of the Hooke law and the plain stress on the finite element calculation.

提出了建立在应变空间上的混凝土四参数破坏准则，从而消除了Hooke定律假设和平面应力假设对有限元分析计算的影响。

Under the condition that the elastic deformation obeys the generalized Hooke's Law, a general expression of elastoplastic constitutive equations applicable to various yield criteria is derived based on the tensor algorithms.

在弹性变形服从各向同性广义虎克定律的情况下，给出了基于张量算法推导的弹塑性本构关系的一般表达式，并由此导出了相应屈服准则的弹塑性本构关系的显式表达。

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。

That's a requirement, of course, for an ideal spring if it behaves according to Hooke's Law.

这当然是个前提，对一个理想弹簧来说，要遵循胡克定律。

The application of the general hooke's law in the combination lf bending and twist

广义虎克定律在弯扭组合中的应用

For an elastic material, Hooke's Law states. that the ratio of strain to stress is constant.

对于弹性材料来说，虎克定律表明应力和应变之比是常数。

In this paper, based on the Hooke's law, the above factors affecting the calculation accuracy is analysed and a correction for the current formulas is proposed.

本文从虎克定律的基本理论出发，分析了影响卡点计算精确性的上述因素，并对原公武进行了修正，藉以提高计算精度。

Nothing new, as long as Hooke's Law holds.

没什么新内容，只要胡克定律可适用。

Besides, it gives new explanation about Hooke Law.

另外，对胡克定律作出了新的表述。

When we did the spring, we had this theory of Hooke's Law that told us something, and we built a simulation, or built some tools around that theory.

当我们写弹簧程序的时候，我们有胡克定律来告诉我们原理，然后我们建立了一个仿真模型，或者说是在这个理论基础上建立了一些工具。

Whenever this linear relation between F and x holds, that is referred to as Hooke's Law.

不管F和x之间的，线性关系是多少，这就是所谓的胡克定律。

Ideal case means Hooke's Law must hold.

理想案例意味着，可以使用胡克定律。

It will be easier to deal with Hooke's Law quantitatively if we pause to define a pair of technical terms: "stress" and "strain".

如果我们先弄清两条技术术语应力和应变，从数量上来研究虎克定律就很容易了。

Michel: Ever hear of tensile strength? Hooke's Law of Elasticity?

听说过抗张强度吗？胡克弹性定律。