中文摘要：

在这研究，我们开发了一个一般方法到经分解处理从精力的观点的一种活动边界问题变化。组织了微光束，微滴和碳的粘附进一个框架的底层上的 nanotube (CNT ) 戒指，我们使用了推理调查这些系统的粘附行为的发达的线。在导出的管理方程和 transversality 条件之上基于，为三个系统包含批评参数和形态学的明确的解决方案是成功地获得了，然后参数类比和他们的普通特征彻底地被调查。介绍方法在破裂力学经由精力版本率的概念被验证了。我们的分析为与类似探索不同系统的机制以及为理解自然的统一提供一条新途径。分析结果可能为组织 nano 的材料的设计是有益的，并且为提高他们的机械、化学、光、电子的性质保持潜力。

英文摘要：

In this study, we developed a general method to analytically tackle a kind of movable boundary problem from the viewpoint of energy variation. Having grouped the adhesion of a micro-beam, droplet and carbon nanotube （CNT） ring on a substrate into one framework, we used the developed line of reasoning to investigate the adhesion behaviors of these systems. Based upon the derived governing equations and transversality conditions, explicit solutions involving the critical parameters and morphologies for the three systems are successfully obtained, and then the parameter analogies and common characteristics of them are thor- oughly investigated. The presented method has been verified via the concept of energy release rate in fracture mechanics. Our analyses provide a new approach for exploring the mechanism of different systems with similarities as well as for understanding the unity of nature. The analysis results may be beneficial for the design of nano-structured materi- als, and hold potential for enhancing their mechanical, chemical, optical and electronic properties.