1) the elastic potential energy
界面弹性势能
2) potential energy boundary surface
势能界面
1.
This paper investigates topological properties of the general gradient system,and demonstrates by results of differential topology that the boundedness of the general gradient system is equivalent to the boundedness of the potential energy boundary surface(PEBS).
该文研究了广义梯度系统的拓扑性质,应用微分拓扑学原理证明,广义梯度系统的完全稳定性与势能界面的有界性是等价的;广义梯度系统完全稳定当且仅当该系统既有渊点又有源点。
2.
A new control criterion is presented for the conventional time domain simulation by using the extended potential energy boundary surface method.
在拓广经典势能界面法的基础上 ,引进一些约束条件 ,为详细数学模型数值积分提供了一种控制仿真进程的判据 。
3) elastic potential energy
弹性势能
1.
Selection of spring elastic potential energy zero and its application;
弹簧弹性势能零点选取及其应用
2.
In current teaching,some textbooks and teachers didn t pay enough attention to the concepts of how to chose reference frame and the work done by pairs of inner conservative force in a system so that students couldn [KG-*2〗t understand the concept of elastic potential energy correctly.
弹性势能是大学物理中重要的物理概念，也是教学难点。
3.
The author discusses respectively how the determination of potential-energy zero point influences geopotential energy,elastic potential energy and electrostatic potential energy.
讨论了势能零点的选取对重力势能、弹性势能和静电势能的影响，讨论了弹性势能与简谐振动的势能、静电势能与静电场能的关系。
4) elasticity potential energy
弹性势能
1.
As the elasticity potential energy and the press potential energy are leaded into,so that a bondage problem is transformed into a non-bondage problem,and a resolvent of grads-decline by advanced step is formulated on the basis of the resolvent of grads-d.
由于引入了弹性势能和嵌入势能,将一个有约束的问题转化为一个无约束的问题,并在梯度下降法求解的基础上,设计出一种变步长梯度下降的求解方法。
2.
In this paper, the general character and individuality of the vibration potential energy and elasticity potential energy is analyzed by an example, and the simple and direct method for solving the problem is given.
本文通过例题分析了振动势能与弹性势能的个性与共性 ,给出解题的简捷方
5) elastic energy
弹性势能
1.
Their deformation stability were determined by the releas of accumulated elastic energy effect and the mechanical properties of the damaged rock mass.
岩石陡高边坡的变形稳定受控于断裂一损伤的岩体力学性质及累积弹性势能释放量的大小依据三峡工程升船机与永久船闸岩体陡高边坡变形差异，讨论其与应力状态、累积弹性势能，以及工程优势面发育展布对岩体力学参数劣化影响的差异所形成的影响，对西部大开发所遇陡高边坡工程的研究，具有实际参考意义。
6) Interfacial elasticity
界面弹性
1.
interfacial viscosity and interfacial elasticity of water-oil and their effect on demulsification of model petroleum emulsion(W/O) in the presence of demulsifiers are studied systematically.
考察了破乳剂存在下油膜寿命、油膜薄化速率以及油水界面张力、界面粘度、界面弹性与破乳效果的关系；同时从破乳剂结构方面对破乳剂的作用机理进行了研究。
补充资料：弹性力学最小势能原理
弹性力学的能量原理之一，它可表述为：整个弹性系统在平衡状态下所具有的势能，恒小于其他可能位移状态下的势能。其中可能位移是指满足变形连续条件和位移边界条件的位移，用来表示。整个弹性系统的势能∏的表示式为：
式中左侧为真实位移ui对应的势能；右侧第一项为弹性体中的应变能,u(εij)为应变能密度,εij为应变分量，Ω为物体所占空间；第二项为体积力构成的势能，fi为体积力分量；第三项为边界外力构成的势能，圴i为给定的面力分量,B2为给定外力的边界面，dB是B2上的面积微元；式中重复下标表示约定求和。
最?∈颇茉砜尚次?
∏(ui)≤∏()，式中的等号只有在可能位移就是真实位移的情况下才成立。最小势能原理实质上等价于弹性体的平衡条件。它可作为弹性力学直接解法和有限元计算（见有限元法）的重要基础。
式中左侧为真实位移ui对应的势能；右侧第一项为弹性体中的应变能,u(εij)为应变能密度,εij为应变分量，Ω为物体所占空间；第二项为体积力构成的势能，fi为体积力分量；第三项为边界外力构成的势能，圴i为给定的面力分量,B2为给定外力的边界面，dB是B2上的面积微元；式中重复下标表示约定求和。
最?∈颇茉砜尚次?
∏(ui)≤∏()，式中的等号只有在可能位移就是真实位移的情况下才成立。最小势能原理实质上等价于弹性体的平衡条件。它可作为弹性力学直接解法和有限元计算（见有限元法）的重要基础。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条