弹性应变能

The evolution of strain energy with the aspect ratio (length/width) of the epitaxial structures was found to be affected by the height, the elastic constant of the substrates and the epilayers, and the symmetry of the lattice mismatch of these structures.

我们发现磊晶结构应变能随长宽比变化的方式将受到结构的高度、磊晶薄膜和基板的弹性系数、及晶格的对称性所影响。

Based on the relationship between the material elastic constants and the strain energy, the three-dimension SOEC and TOEC tensor expressions are obtained by using tensors derivation principle.

因为材料的弹性常数同其应变能相联系，所以利用张量的求导法则，给出了三维情况下SOEC和TOEC的张量表达式。

After in- troducing of the strain energy function, we first validated the derivation of the classical elastic constitutive equation using the strain energy function.

第三章从经典弹性力学和经典牛顿流体力学入手，在引入了应变能函数W〓以后，首先验证了经典弹性力学通过应变能函数导出弹性体本构方程的过程。

Interesting works include three parts,(1) deriving an elastic strain energy equation to discuss constitutive relations of various elastic symmetry systems, and to check out some errors in previous papers.(2) deriving effective elastic constants of EDA-PTL medium;(3) deriving and numerically studying the elastic wave rays angle dispersion phenomenon.

除了引用前人给出的公式外，本论文有特色的工作是：推导了一个应变能公式，给出了各种对称体系下的弹性本构形式，对前人给出的结果作了验证，指出存在的个别错误；对EDA构成的薄层介质各向异性弹性常数作了推导，给出了解析表达；对几种类型的各向异性体系的角散式进行了推导并作了数值计算。

After introducing the generalized strain energy function with fractional order, the constitutive equation of biological visco-elastic material was obtained by means of the fractional calculus.

摘 要：对生物粘弹性材料，引入广义分数阶应变能函数以后，应用分数阶微积分分别给出了粘弹性固体和粘弹性流体的本构关系式。

Such finite element satisfies homogeneous equilibrium equations and can pass the patch test as long as the original plane elasticity element can pass the corresponding patch test.

所得到的板弯曲单元在单元内部满足齐次平衡方程，并且只要原始平面弹性单元能通过常应变分片试验则转换得到的板单元一定能通过常曲率分片试验。

Based on the generalized potential variational principle of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of collaborated system structure by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘要基于大位移非线性弹性理论的广义变分原理，考虑加劲梁轴向压缩应变能和剪切应变能的影响，建立了协作体系斜拉桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了协作体系斜拉桥的加劲主梁竖向挠曲振动微分方程。

Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘 要：摘要：基于大位移非线性弹性理论的广义变分原理，考虑了加劲梁轴向压缩应变能和剪切应变能的影响，建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动、纵向振动及扭转振动的基础微分方程，为自锚式悬索桥的固有振动性状分析提供可靠的理论依据。

Computer simulation ; Precipitation ; Microscopic phase-field model ;γ'（Ni_3Al） phase ;θ（Ni_3V） phase ; Atomic pictures ; Order parameters ; Coherent elastic strain energy

国家自然科学基金；国家高技术研究发展计划(863计划)计算机模拟；沉淀；微观相场模型；γ'相（Ni_3Al）；θ相（Ni_3V）；原子图像；序参数；共格弹性应变能

The propulsion force is generated by caudal fin in Thunniform swimmers, and the tendons are the force transmitting elements form the muscles to the caudal fin. As elastic elements, the tendons can save metabolism cost during swimming.

鲹科加新月形尾鳍推进模式的推进力主要由尾鳍产生，肌腱作为连接尾鳍与产生驱动力的肌肉的力传输元件，具有存储弹性应变能的生物弹簧的作用，对降低游动的能量损耗，提高推进效率具有重要作用。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。