球状物体作微形变时弹性势能的研究

doi:10.16854 /j.cnki.1000-0712.200176

College Physics ›› 2021, Vol. 40 ›› Issue (3): 4-7.doi: 10.16854 /j.cnki.1000-0712.200176

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

YU Feng-jun，TANG Zhen-jie，TIAN Jun-long，ZHANG Xi-wei

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

Received:2020-05-07 Revised:2020-06-09 Online:2021-03-20 Published:2021-03-19

Abstract

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.

Key words: elastic ball, elastic potential energy, principle of minimum potential energy, strain tensor, displacement function

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.

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

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