Linear deformations as global minimizers in nonlinear elasticity. (English) Zbl 0812.73014
The author studies the properties of the strain energy functions for which a linear deformation minimizes the total energy of a hyperelastic ball. The results obtained deserve the attention of applied mathematicians interested in the theory of constitutive equations.
Reviewer: U.Gamer (Wien)
MSC:
| 74B20 | Nonlinear elasticity |
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74P10 | Optimization of other properties in solid mechanics |
