摘要从石墨材料中分解出来的石墨烯是由碳原子组成的、单层原子厚度的二维晶体。它既是最薄的材料，也是最有韧性的材料，断裂强度是最好的钢材的200多倍。同时它又有良好的弹性，拉伸幅度达到了自身尺寸的20%，是目前自然界最薄、强度最高的材料。作为目前已知的最薄、强度最大、导电导热性能最强的新型纳米材料，石墨烯被称为“黑金”，是“新材料之王”。科学家甚至预言石墨烯将“彻底改变21世纪”，极有可能掀起一场席卷全球、颠覆性的新产业[1]。石墨烯拥有优异的力学、物理学及电学特性，其在复合材料、纳米电子器件及传感器制造等方面的潜力十分巨大。由于石墨烯被广泛用于我们的生活中，我们需要对石墨烯的瞬态响应有良好的了解。87617

在这篇文章中，使用了element-free kp-Ritz法进行了单层石墨烯片的瞬态动力学分析。用matlab软件对不同边界条件、非局部参数及长宽比等进行了分析，以便于未来对多层石墨烯的瞬态响应的研究提供帮助。

毕业论文关键词  单层石墨烯片  element-free kp-Ritz法  matlab  瞬态分析

毕业设计说明书外文摘要

Title  Transient dynamic characteristics of graphene

Abstract Graphene which is broke out from Graphite materials is made up of carbon atom and it is two dimensional crystal with single layer atomic thickness。 It has a good elasticity，its stretching range reach twenty percent of its own size。 It is the material which the thickness is thinnest and the intensity is highest in the natural world。 Graphene is currently known as the most thin, the largest strength and conductive thermal conductivity of the most powerful new nano materials which is called “black gold” and the“king of new materials”。 Scientists even predict graphene will completely change “the twenty-first Century", and is likely to set off a global, disruptive new industrial revolution。Graphene has excellent mechanical, physical and electrical properties, and it is very potential in composite materials、nano electronic devices and sensor manufacturing, etc。 Since graphene is widely used in our life, we need to have a good understanding of the transient response of graphene。

In this paper, an investigation on the transient analysis of single-layered graphene sheets is performed using the element-free kp-Ritz method。 The MATLAB is presented to examine the effect of boundary conditions, aspect ratio and side length on the transient behavior of SLGSs。The present work can serve as the foundation for further investigation of the transient response of multi-layered graphene sheets。

Keywords single layer graphene sheets element-free kp-Ritz method  matlab transient analysis

目  次

1。 引言（或绪论） 1

1。1  石墨烯的研究历史 1

1。2  石墨烯的基本特性和主要应用 1

1。2。1  石墨烯的基本特性 1

1。2．2  石墨烯的主要应用 2

1。3  石墨烯的发展前景 3

1。3。1  中国方面 3

1。3。2  全球市场 4源-于,优+尔^论=文.网wwW.yOueRw.com 原文+QQ752.018766

1。4  石墨烯的研究现状 4

1。5  本文主要研究内容 5

2  理论计算 7

2。1  非局部弹性理论的公式化