| 球状物体作微形变时弹性势能的研究 |
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| 引用本文： | 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):4-7,24. |
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| 作者姓名： | 于凤军 汤振杰 田俊龙 张希威 |
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| 作者单位： | 安阳师范学院物理与电气工程学院,河南安阳 455000;安阳师范学院物理与电气工程学院,河南安阳 455000;安阳师范学院物理与电气工程学院,河南安阳 455000;安阳师范学院物理与电气工程学院,河南安阳 455000 |
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| 基金项目： | 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。 |
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| 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.
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| 关 键 词： | 弹性球 弹性势能 最小势能原理 应变张量 位移函数 |
Study of the elastic potential energy of a spherical body in micro deformation |
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| YU Feng-jun,TANG Zhen-jie,TIAN Jun-long,ZHANG Xi-wei.Study of the elastic potential energy of a spherical body in micro deformation[J].College Physics,2021,40(3):4-7,24. |
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| Authors: | YU Feng-jun TANG Zhen-jie TIAN Jun-long ZHANG Xi-wei |
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| Institution: | (College of Physics and Electrical Engineering,Anyang Normal University,Anyang,Henan 455000,China) |
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| 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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| Keywords: | elastic ball elastic potential energy principle of minimum potential energy strain tensor displacement function |
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