We consider a three-dimensional hyperelastic cylinder in R = D x [0, a). We study the asymptotic behaviour of the deformations of the cross-sections in an equilibrium state. In this case we show that the solutions either have exponential decay or exponential growth. We give some initial conditions s
Some remarks on Saint-Venant's principle for transversely isotropic composites
β Scribed by Cornelius O. Horgan
- Publisher
- Springer Netherlands
- Year
- 1972
- Tongue
- English
- Weight
- 237 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0374-3535
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β¦ Synopsis
Recent work of the author on Saint-Venant's principle for plane deformation of an anisotropic elastic solid is used to investigate the behaviour of a transversely isotropic medium, in the limit of small extensibility and compressibility. Such a model has been proposed in analysis of fiber-reinforced composites. Disagreement with Saint-Venant's principle is anticipated, confirming recent observations made by other authors in similar contexts.
RI~SUME
On utilise le travail rdcemment fait par rauteur sur le principe de Saint-Venant darts le cas du probl6me plan d'un milieu 61astique anisotropique, pour considerer le cas spdcial d'un mat6del/t isotropie transversale, darts la limite de petites extensibilit6 et compressibilitd. Un tel mod61e a 6t6 propos6 darts/'analyse des composites/t fibers de renforcement. On s'attend/l des prddictions en d6saccord avec le principe de Saint-Venant, ce qui confirmerait ce que d'autres auteurs ont remarqu6 dans des contexts semblables.
π SIMILAR VOLUMES
A semi-infinite prismatic cylinder composed of a linear anisotropic classical elastic material is in equilibrium under zero body force and either zero displacement or zero traction on the lateral boundary. The elastic moduli become perturbed. Under suitable conditions on the base load decay estimate