Finite strain expansion/contraction of a hollow sphere made of strain- and rate- hardening material

Sergei Alexandrov, Yeau Ren Jeng

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

This paper presents a semi-analytic rigid/plastic solution for the expansion/contraction of a hollow sphere at large strains. The yield stress depends on the equivalent strain rate and the equivalent strain. No restriction is imposed on this dependence. The solution reduces to a single ordinary differential equation for determining the radial stress. The independent variable in this equation is the equivalent strain. Moreover, the equivalent strain rate is expressed in terms of elementary functions of the equivalent strain, which allows for representing the yield stress as a function of the equivalent strain and a time-like independent variable. In the course of deriving the equations above, the transformation between Eulerian and Lagrangian coordinates is used. A numerical example illustrates the solution for a material model available in the literature. The motivation of this research is that solutions for the expansion/contraction of a hollow sphere are widely used at the micro-level to calculate some material properties at the macro-level. To this end, it is necessary to specify constitutive equations for micromechanical modeling. The accuracy of these equations is questionable. An advantage of the solution found is that it is practically analytic for quite a general material model that accounts for both strain- and rate-hardening. Therefore, it is straightforward to generate a large amount of theoretical data for comparing with measurable quantities at the macro-level.

原文English
期刊Continuum Mechanics and Thermodynamics
DOIs
出版狀態Accepted/In press - 2022

All Science Journal Classification (ASJC) codes

  • 一般材料科學
  • 材料力學
  • 一般物理與天文學

指紋

深入研究「Finite strain expansion/contraction of a hollow sphere made of strain- and rate- hardening material」主題。共同形成了獨特的指紋。

引用此