A variational definition of the strain energy for an elastic string

✍ Scribed by Emilio Acerbi; Giuseppe Buttazzo; Danilo Percivale

• Book ID: 104619964
• Publisher: Springer Netherlands
• Year: 1991
• Tongue: English
• Weight: 324 KB
• Volume: 25
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00042462

✦ Synopsis

Using the variational point of view, the constitutive equations of an elastic one-dimensional string are deduced from the stress-strain relations of nonlinear three-dimensional elasticity, by passing to the limit when the other dimensions go to zero. The assumptions made on the three-dimensional model are not very restrictive.