应变能密度函数等于亥姆霍兹函数。
根据随机振动试验的有关理论，确定产品局部应变载荷的概率密度函数。
The probability density function of partial strain loading of product is defined in accordance with the relevant theory of random vibration test.
通常薄膜材料具有比其块材更高的能量密度、更大的应变能力以及更快的响应时间。
In general, thin films have higher energy densities, larger strain capabilities, and more rapid response times than their bulk counterparts.
成果表明：对于同一种粗粒土，密度和围压是影响力学性质的重要因素，它们共同决定了粗粒土的应力应变曲线形态。
The results show as follows: Density and confining pressure are important factors affect mechanical properties for one coarse-grained soil, and they decide the stress-strain curve shape.
进一步利用GPS速度场计算华北地区GPS地壳应变率场及应变能密度变化率场。
Using the GPS velocity field, we estimate the annual accumulations of strain rate field and strain energy density field.
本文对按应变能密度理论和最大拉应变理论所推导出的两个三维复合型断裂临界曲面作了简要介绍。
Introduced in this paper are two fracture critical surfaces of three dimensional mixed mode obtained from the theory of strain energy density factor and the theory of maximum tensile strain.
应变片所能允许的电能密度与起着散热器作用的试件密切相关。
Power densities that can be tolerated by a gage are strongly related to the specimen which serves as the heat sink.
针对一种复杂的应变能密度函数形式，在平面位移情况下，对定义在初始构形上的超弹性基本方程进行了直接的解析求解。
The plane displacement of hyperelasticity was discussed. Aimed at a complex strain energy density function, a group of hyperelasticity governing equations defined on initial configuration were solved.
其次，指出这种高密度的冰碛土的应力应变特性属于非线性弹、塑性性质。
Next, it was indicated that the stress-strain characteristics of the high density till were nonlinear elastoplastic.
结果表明，硬段含量及密度对PUEF压缩应力-应变性能的影响较大，而交联度对压缩应力松弛及拉伸性能的影响较大。
Influences of the hard segment content, crosslinking degree and density on the compressive stress-strain property, compressive stress relaxation and tensile property of PUEF were studied.
把细观损伤理论和宏观统计损伤模型结合，建立应力–应变与微裂纹密度变化的关系；
The relation between stress-strain and density variation of rock crack has been obtained through the meso-damage theory and damage statistics model.
分别应用断裂力学中的最大拉应力理论和应变能密度因子理论分析了重复压裂中水力裂缝的初始扩展和延伸方向。
By maximum tension theory and maximum strain energy density theory in fracture mechanics, created and propagation direction of new artificial fracture are analysized.
合金的塑性应变能密度受应变幅的影响且具有循环相关性；
The values of plastic strain energy density are affected by the plastic strain amplitude and change with the cycle numbers.
干密度值较高时，土样处于密实状态，表现出剪胀特性，有效主应力比-应变曲线近于应变软化型；
When the dry density is relatively high, this dense specimen shows shear dilatation characteristics, and the effective principal stress ratio tends to be strain softening phenomenon.
通过构筑PM空间密度函数，求出饱和岩石的应力—应变状态方程，并模拟了其轴向应变—径向应变滞后回线。
Through constitution of PM space density function, the stress-strain state equation for saturated rocks has been defined and the hysteresis loops of axial stress-radial stress has been simulated.
在高应变率下，断裂应变能密度主要由初始弹性模量和失稳应变共同决定，受温度效应和应变率效应的综合影响。
The fracture strain energy density at the high strain rate is mainly determined by the initial elastic modulus and the unstable strain and affected by the temperature and the strain rate.
对于不同初始密度的试件，破坏强度有随初始密度的增加而变大的趋势，但破坏应变则无明显的变化规律。
And for the specimens with different initial density, their failure stresses increases with the increment of initial density, but failure strains do not follow any obvious regular patterns.
对于不同初始密度的试件，破坏强度有随初始密度的增加而变大的趋势，但破坏应变则无明显的变化规律。
And for the specimens with different initial density, their failure stresses increases with the increment of initial density, but failure strain does not present any obvious regular patterns.
结果表明：随着变形温度的升高和应变速率的减小，位错密度减小，亚晶粒尺寸增大；
The results show that the dislocation density decreases and the subgrain sizes increase with the increase of deformation temperature and the decrease of the strain rate;
首先分析了应变硅形成机理、能带结构变化、空穴态密度有效质量，进而分析了空穴迁移率增强机理。
The formation mechanism, energy band, hole density-of-state effective mass of strained si have been analyzed first., then hole mobility enhancement mechanism is analyzed.
冷变形提高了钢中位错密度，也加剧了位错分布的不均匀性，后者是预应变加速组织演变的直接原因。
Cold deformation results in increasing of dislocation density and inhomogeneous dislocation distribution, the latter is the direct reason for pre-strain to promote microstructural evolution.
本文介绍了根据应变能密度原理估计拉载作用下缺口底部应力、应变的方法。
An application of the equivalent strain energy density method for calculation of elastic-plastic notch-tip strains under tension loading is presented.
提示老年肾虚证与骨密度有直接相应变化的关系，骨密度测定可作为肾虚证本质辨证的客观评价指标和观察肾虚证治疗效果的参考依据。
It is indicated that kidney asthenia is closely related to bone density, thus bone density may be used as an objective index for diagnosing kidney asthenia.
基于损伤力学理论，建立了沥青路面反射裂缝问题的损伤力学守恒积分，证明了在反射裂缝形成过程中应变能密度的守恒性。
The conservative integral of damage mechanics for the reflective cracking in asphalt pavements is established based on the elastic damage theory developed by the authors.
本文主要解决的问题有两点：1、在应力空间和应变空间中表示应变能密度函数的方法；
In this paper, we have discussed two problems:(1) the method of representation of strain energy density function in the stress and strain spaces;
较之仅着眼于纹尖场某一点的最小应变能密度因子理论，新判据更多地顾及到了尖端场的全局。
The new criterion includes the integral features of the whole field, while the theory of minimum strain-energy-density factor considers only a single point in the crack tip field.
试验结果表明，具有相同密度的饱和砂土，其液化后的应力应变关系随剪切吸水速率的不同而呈现出硬化、理想塑性及软化的不同变化。
The test results showed strong dependency of the post liquefaction stress strain response on rates of the water absorption in shear, and the others…
建立了二维轮胎橡胶材料的有限元模型，用应变能密度这个参数模拟了试样承受单向拉伸时裂纹的扩展方向。
A 2-d finite element model of tire-rubber was established to simulate the crack growth of the sample under simple tension, by using the strain energy density parameter.
为了对结构的安全程度进行度量，反映结构破坏是“从无序向有序”不断演化这一过程，考虑了应变能密度的分布对结构安全性的反映，引用熵的理论进行了分析。
To evaluate the degree of security of structures, reflect the failure course is from disorder to order, the reflection of strain energy density is considered, the entropy is used in analysis.
在加筋布局优化中，用单元应变能密度灵敏度作为删除单元的准则。
In layout optimization of stiffeners, the strain energy density sensitivity of the element was used to determine which elements of stiffeners should be deleted.
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