A simple approach towards fully stressed design in hyperelasticity exploiting the isoparametric finite element concept
✍ Scribed by Eckhard Kirchner; Rainer Immel
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 303 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
✦ Synopsis
A novel approach towards fully stressed designs in hyperelasticity is discussed leading to closed-form expressions for the sensitivities of the objective and displacements with respect to design variations. The key idea is the modiÿcation of the classical approach coupled with a so-called design element method o ering a lot of parallelism to standard ÿnite element methods. We bypass implicit constraints on dependent quantities and derive an explicit linearly constrained optimization problem solved by means of ÿrst-order procedures. The results obtained with the proposed method are adequate from an engineering point of view though being computed with a simple method.