Elastic-plastic transition on rotating spherical shells in dependence of compressibility

Kragujevac Journal of Science

卷:2017

Verma Gaurav¹  Pathania D.S.²  Thakur Pankaj³  Satya Bir Singh⁴ 

[1] Department of Applied Science, I.K. Gujral, Punjab Technical University Jalandhar, Ibban, Kapurthala, India;

[2] Department of Mathematics, Guru Nanak Dev Engineering College Ludhiana, Punjab, India;

[3] Department of Mathematics, ICFAI University Baddi, Solan, Himachal Pradesh, India;

[4] Department of Mathematics, Punjabi University Patiala, Punjab, India;

关键词: shells;    elastic-plastic;    yielding;    stress;    strain;    speed;    compressibility;   

DOI  :  10.5937/KgJSci1739005T

来源: DOAJ

【 摘 要 】

The purpose of this paper is to establish the mathematical model on the elastic-plastic transitions occurring in the rotating spherical shells based on compressibility of materials. The paper investigates the elastic-plastic stresses and angular speed required to start yielding in rotating shells for compressible and incompressible materials. The paper is based on the non-linear transition theory of elastic-plastic shells given by B.R. Seth. The elastic-plastic transition obtained is treated as an asymptotic phenomenon at critical points & the solution obtained at these points generates stresses. The solution obtained does not require the use of semi-empirical yield condition like Tresca or Von Mises or other certain laws. Results are obtained numerically and depicted graphically. It has been observed that Rotating shells made of the incompressible material are on the safer side of the design as compared to rotating shells made of compressible material. The effect of density variation has been discussed numerically on the stresses. With the effect of density variation parameter, rotating spherical shells start yielding at the internal surface with the lower values of the angular speed for incompressible/compressible materials.

【 授权许可】

Unknown