梯形截面半导体量子线结构应力和应变分布的解析解

黄灵峰1，徐凯宇1,2

doi:10.3969/j.issn.1007-2861.2012.01.015

上海大学学报(自然科学版) >

2012 , Vol. 18 >Issue 1: 72 - 75

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.01.015

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梯形截面半导体量子线结构应力和应变分布的解析解

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1.上海大学上海市应用数学和力学研究所，上海 200072; 2.上海大学理学院，上海 200444

收稿日期: 2010-04-21

网络出版日期: 2012-02-29

基金资助

国家自然科学基金资助项目（10772106,11072138）

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Analytical Solution of Stress and Strain Distribution in a Trapezoidal Cross-Section Quantum-Wire Structure

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1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2010-04-21

Online published: 2012-02-29

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摘要

在各向同性弹性理论的假设下，运用解析方法对量子线结构进行分析，通过对格林函数的积分运算，得到无限大基体内横截面为梯形的量子线结构的应力和应变场的解析解.另外，还讨论了量子线横截面的高度和初始失配应变变化对应变分布的影响.

关键词： 初始失配应变; 解析解; 量子线; 应力应变分布

本文引用格式

黄灵峰1，徐凯宇1,2 . 梯形截面半导体量子线结构应力和应变分布的解析解[J]. 上海大学学报(自然科学版), 2012 , 18(1) : 72 -75 . DOI: 10.3969/j.issn.1007-2861.2012.01.015

Abstract

Based on the isotropic elastic theory and using the integral operation for Green’s function, analytical solutions of the stress and strain fields inside and outside a trapezoidal cross-section quantum-wire structure in an infinite matrix are obtained. The influences of variable height for the quantum wire cross-section and initial mismatch strain on the strain distribution are discussed.

Key words： analytical solution; initial mismatch strain; quantum-wire; stress and strain distribution

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