定律

Based on wave propagating in three directions of elastic foundation, vibrating displacement could be assumed to be in three forms along three directions. Hooke's law and theory of waves were adopted to deduce the formula of coupled viscous boundary. The coupled viscous boundary could be applied in finite element method.

根据波在地基的3个方向都可以进行传播的特点，假定了地基中质点沿3个方向的振动表达式，通过胡克定律和波动理论，推导了弹性地基中三维动力问题的耦合粘性边界的公式。

Hooke's Law of Elasticity?

胡克定律？你说呢？

The classical elastic theory is precisely based on the Hooke's law, and issuitable to the depicting and describing of seismic wave propagation in the elasticmedia. But either from the experimental results of testing on the core, or from thepractical results of exploration and exploitation in the oilfield, the subsurface mediumshows more or less the non-elastic characteristics, namely viscoelastic behavior.

经典的弹性理论是建立在精确遵守虎克定律的基础之上的，弹性波动理论适用于对弹性介质中传播的地震波的刻画和描述，但是无论是对地下岩芯的实验室测试，还是油田的勘探开发实践，都已经证实地下介质或多或少地表现出非完全弹性，即粘弹性行为。

K. H. Roscoe and his fellows of Cambridge University established the first elastoplastic model of soils which is based on classical plastic theory in 1963. However, due to the complexity of soils, the models that based on the classical metal constitutive theory or its modification accounting on the nature of soils have still much limitation when used to express the soil mechanical behavior. For example, the Duncan-Chang's model based on the generalized Hooke's law can not express the dilatancy of the soils. The uniqueness assumption of the direction of the incremental plastic strain in the classical plastic constitutive theory is not in agreement with some soil experiments.

但由于土的复杂性，目前以传统的本构理论为基础考虑土的一些特性而建立的模型在反映土体的力学特性上还存在很大的局限性，如建立于广义虎克定律基础上的Duncan—Chang模型不能反映土的剪胀性，传统的塑性本构理论中认为塑性应变增量方向具有唯一性的假设与一些土体的试验结果不符合。

To determinate volumes and directions of the principle stresses, constantly three 1/4-bridges should be applied to measure normal strains along three sensitive grids. Based on the analysis of the plane stress state and generalized Hooke's law, volumes and directions of the principle stresses at one point will be obtained.

在该实验中，为了测量构件表面一点的主应力大小及方向，通常采用3个1/4桥路，测量该点沿3个敏感栅方向的线应变，根据平面应变状态分析和广义胡克定律求得该点的主应力大小及方向。

C ~ Hooke's law of elasticity?

胡克弹性定律？

The simplified Phillips' differential equation of tension which derived from Hooke's law on the assumption of uniform strip section is conventionally used up to date for the computation of cold tandem rolling.

目前常用的冷连轧张力微分方程dt=E/Lν_b(i+1-ν_dτ是假设机架间的带钢具有均匀的断面，引用等断面直杆虎克定律导出的，故为等断面张力微分方程。

Such simplified 1-D Burgers model is extended to 3-D case as the usual treatment like 3-D Hooke's law. Based on the above assumptions, the downward and upward plastic deformations of asphalt pavements have been calculated.

利用刚塑性假定简化一维Burgers模型，从而简化了沥青路面的永久变形计算，据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型，类似于三维虎克定律。

Assisting with the main requirement to nanoindentation test, the mechanism of precision loading device was designed and analyzed, and the scheme to realize nanoindentation test of diamond indenter under the help of hybrid process of piezoelectric stack and flexure hinges was established. The force signal of nanoindentation was measured via flexure hinge based on Hooke's law.

结合纳米压痕测试的基本要求，对精密加载装置进行了结构设计分析，建立了以压电叠堆推动柔性铰链推进单晶金刚石工具头实现压痕测试的方案，依据胡克定律利用柔性铰链敏感单元实现对压入力信号的检测。

The rigid-plastic assumption simplifies the 1-D Burgers model and thus simplifies the calculation of plastic deformation.Such simplified 1-D Burgers model is extended to 3-D case as the usual treatment like 3-D Hooke's law.

利用刚塑性假定简化一维Burgers模型，从而简化了沥青路面的永久变形计算，据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型，类似于三维虎克定律。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。