教学讨论

球状物体作微形变时弹性势能的研究

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  • 安阳师范学院物理与电气工程学院,河南安阳455000
于凤军( 1959—) ,男,河南安阳人,安阳师范学院物理与电气工程学院教授,主要从事理论物理、天体力学研究和教学工作.

收稿日期: 2020-05-07

  修回日期: 2020-06-09

  网络出版日期: 2021-03-19

基金资助

国家自然科学基金资助项目( 11961131010) 资助; 河南省科技攻关资助项目( 172102210092) 资助

Study of the elastic potential energy of a spherical body in micro deformation

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  • College of Physics and Electrical Engineering,Anyang Normal University,Anyang,Henan 455000,China

Received date: 2020-05-07

  Revised date: 2020-06-09

  Online published: 2021-03-19

摘要

研究一个弹性球在保持体积不变的前提下,形变为长旋转椭球时的弹性势能. 首先通过最小势能原理和物理条件确定位移函数,然后根据弹性势能密度-应变-位移三者之间的关系,通过积分计算得到弹性势能,并且进行了有益的讨论.

本文引用格式

于凤军, 汤振杰, 田俊龙, 张希威 . 球状物体作微形变时弹性势能的研究[J]. 大学物理, 2021 , 40(3) : 4 -7 . DOI: 10.16854 /j.cnki.1000-0712.200176

Abstract

In this paper,we study the elastic potential energy of an elastic sphere when it is deformed into a

long rotating ellipsoid while keeping its volume constant. Firstly,the displacement function is determined by the

principle of minimum potential energy and physical conditions. Then,according to the relationship among elastic

potential energy density,strain and displacement,the elastic potential energy is obtained by integral calculation,

and the beneficial discussion is made.

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