| 应用CBR确定面心立方金属的表面弹性参量 |
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| 引用本文： | 刘建云,宋晶如,魏悦广.应用CBR确定面心立方金属的表面弹性参量[J].力学学报,2013,45(4):541. |
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| 作者姓名： | 刘建云 宋晶如 魏悦广 |
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| 作者单位： | 中国科学院力学研究所非线性力学国家重点实验室, 北京 100190 |
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| 基金项目： | 国家自然科学基金资助项目，The project was supported by the National Natural Science Foundation of China |
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| 摘 要： | 首先从能量变分出发基于同时考虑应变梯度效应和表面效应的跨尺度力学理论, 推导出表面能和表面弹性本构等基本关系, 然后基于简单的准连续Cauchy-Born法则(CBR)建立一种确定表面能密度以及表面弹性参量的方法.进一步以面心立方(face-centre-cubic,FCC)金属为例, 系统地获得了常用FCC金属表面弹性参量的数值, 结果与他人应用分子动力学计算得到的结果相吻合.
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| 关 键 词： | 跨尺度力学理论 面心立方金属 Cauchy-Born法则 表面能密度 表面弹性参量 |
| 收稿时间： | 2012-12-24 |
| 修稿时间： | 2013-02-20 |
DETERMINATIONS OF SURFACE ELASTIC PARAMETERS OF FCC-METALS BY USING THE CAUCHY-BORN RULE |
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| Liu Jianyun,Song Jingru,Wei Yueguang.DETERMINATIONS OF SURFACE ELASTIC PARAMETERS OF FCC-METALS BY USING THE CAUCHY-BORN RULE[J].chinese journal of theoretical and applied mechanics,2013,45(4):541. |
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| Authors: | Liu Jianyun Song Jingru Wei Yueguang |
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| Institution: | LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | First, fundamental relations on the surface energy density and surface elastic constitutive equations are derived based on the trans-scale mechanics theory considering both strain gradient and surface effects through energy variation. Second, a new method to determine both surface energy density and surface elastic parameters is developed based on a simple quasi-continuity scheme, Cauchy-Born rule. Furthermore, taking the face-centre-cubic (FCC) metals as examples, we systematically obtain the values of the surface elastic parameters for typical fcc metals which are consistent with others results by using the molecular dynamic simulations. |
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| Keywords: | trans-scale mechanics theory FCC metals Cauchy-Born rule surface energy density surface elastic parameter |
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