河南理工大学学报:自然科学版
河南理工大學學報:自然科學版
하남리공대학학보:자연과학판
JOURNAL OF HENAN POLYTECHNIC UNIVERSITY
2011年
3期
366-371
,共6页
黏弹性%厚壁球壳%Laplace变换%解析解
黏彈性%厚壁毬殼%Laplace變換%解析解
점탄성%후벽구각%Laplace변환%해석해
viscoelasticity%thick-walled spherical shell%Laplace transforms%analytical solution
在弹塑性力学中,厚壁圆球的弹塑性分析是著名的拉梅(Lame)问题之一,将其推广到黏弹性材料,推导出外表面受弹性约束的黏弹性球壳解析解,得到了球壳的径向应力、环向应力和径向位移的表达式,求出突然施加内压时的应力瞬态值和当时间趋于无穷时的位移稳态值,并结合算例讨论了各参数的影响.
在彈塑性力學中,厚壁圓毬的彈塑性分析是著名的拉梅(Lame)問題之一,將其推廣到黏彈性材料,推導齣外錶麵受彈性約束的黏彈性毬殼解析解,得到瞭毬殼的徑嚮應力、環嚮應力和徑嚮位移的錶達式,求齣突然施加內壓時的應力瞬態值和噹時間趨于無窮時的位移穩態值,併結閤算例討論瞭各參數的影響.
재탄소성역학중,후벽원구적탄소성분석시저명적랍매(Lame)문제지일,장기추엄도점탄성재료,추도출외표면수탄성약속적점탄성구각해석해,득도료구각적경향응력、배향응력화경향위이적표체식,구출돌연시가내압시적응력순태치화당시간추우무궁시적위이은태치,병결합산례토론료각삼수적영향.
Elastic-plastic analysis of thick-wall spherical shell is one of famous Lame problems in elastic-plasticity mechanics.In this paper,we extended to viscoelasticity,and discussed analytical solution of viscoelastic spherical shell subjected to elastic restriction in outer layer,the expressions of radial stress,hoop stress and radial displacement were received,transient stress subjected to internal pressure and steady state displacement were solved,and the each parameters' influences were discussed with calculation examples.