简介：在戒指被使遭到在它的二结束等于轴的负担的地方，有内部僵硬身体的一枚不可压缩的矩形的橡胶戒指的有限变丑的问题被检验。一个讲理的数学模型被使用非线性的地理论提出，含蓄的分析答案被导出。然后数字的模拟被实现进一步说明结果并且获得一些有意义的结论。戒指的侧面的表面的变丑与增加变得更大轴的负担，内部、外部的半径的减少的比率和戒指的增加的高度。

简介：Inthispaper,ageneralsolutionforthree-dimensionalstaticpiezothermoelasticprob-lemsofcrystalclass6mmsolidsispresented.Tnegeneralsolutioninvolvesfourpiezoelasticpotentialfunctionsandapiezothermoelasticpotentialfunction,ofwhichfourpiezoelasticpotentialfunctionsaregovernedbyweightedharmonicdifferentia[equations.ComparedwiththegeneralsolutiongivenbyAshidaetal.,inwhichsevenpotentialfunctionsareintroduced,thegeneralsolutionproposedinthepresentpaperismorerigorouslyderived.Moreover,ithasasimpleformandisconvenientforappli-cation.Asanillustrativeexample,theproblemofapyroelectrichalf-spacesubjectedtoaxisymmetricheatingisstudied.Numericalresultsofdisplacements,stresses,electricpotentialandelectricdisplace-mentsareobtainedforacadmiumselenidehalf-space.Thermallyinduceddisplacementsandstressdis-tributionarecomparedwiththoseobtainedforthesamematerialwithoutpiezoelectricandpyroelectriceffects.