An explicit method to determine response coefficients in finite elasticity

✍ Scribed by Bertil Storåkers

• Publisher: Springer Netherlands
• Year: 1979
• Tongue: English
• Weight: 341 KB
• Volume: 9
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041328

✦ Synopsis

Some classical solutions to problems involving controllable deformations of isotropic incompressible elastic solids are recapitulated. It is shown that, when only one deformation mechanism is inhomogeneous, a parametric differentiation of the load-deformation relations yields a possibility to determine explicitly the material response coefficients from data conveniently measurable at tests. The method is illustrated for two cases; extension, inflation and torsion of a tube and inflation of a spherical shell.

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Quelques solutions classiques de probl6mes en d6formation pour des solides 61astiques isotropes incompressibles sont rappelies. On montre que, quand un seul m6canisme est nonhomog~ne, tree d6rivation parametrique des relations force-d6formation rend possible la d6termination explicite des coefficients characteristiques du solide fa partir de donn6es exp6rimentales facilement accessibles.

Deux examples illustrent la m6thode: cas d'un tube soumis h une extension, une expansion et une torsion et cas d'une coque sph6rique en expansion.