Buckling of extensible thermoelastic rods
โ Scribed by J. Cisternas; P. Holmes
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 774 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
we modify the extensible rod theory due to Coleman et al. [I] to include thermal expansion effects. We study the bifurcations of the resulting equilibrium equations under both traction and displacement boundary conditions and find both sub-and supercritical pitchfork bifurcations.
๐ SIMILAR VOLUMES
We consider the thermoelastic and viscoelastic contact problem of two rods and prove the existence of a weak solution using a penalization method and compensated compactness. Moreover, for the thermoelastic contact we show that the weak solution converges to zero exponentially as time goes to infini