Abstract
The purpose of this paper is to establish a method of obtaining closed-form solutions in isotropic hyperelasticity using the complementary energy, the Legendre transform of the strain energy function. Using the complementary energy, the stress becomes the independent variable and the strain the dependent variable. Some of the implications of this formulation of the equations are explored and illustrative examples of solutions for spherical and cylindrical inflation for several forms of the complementary energy are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 1116-1125 |
| Number of pages | 10 |
| Journal | Mathematics and Mechanics of Solids |
| Volume | 21 |
| Issue number | 9 |
| Early online date | 05 Aug 2016 |
| DOIs | |
| Publication status | Published - 01 Oct 2016 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© The Author(s) 2014.
Keywords
- Complementary energy
- compressible elasticity
- exact solutions
- Legendre transform
ASJC Scopus subject areas
- General Mathematics
- General Materials Science
- Mechanics of Materials