|
|||||
 |
|
|
|
|
|
Long wavelength
bifurcations and multiple neutral axes of elastic layered
structures subject to finite bending
Sara Roccabianca, Davide Bigoni and Massimiliano Gei |
|
Vol. 6 (2011), No. 1-4, 511–527
|
Abstract |
|
Geometries and rigidities involving the presence of more than one neutral axis during finite (plane-strain) bending of a multilayered elastic (incompressible) block make numerically stiff the differential equations governing the incremental problem necessary to investigate diffuse-mode instabilities. We have developed a compound matrix method to solve these cases, so that we have shown that the presence of two neutral axes occurs within sets of parameters where the elastic system may display long-wavelength bifurcation modes. Following the predictions of the theory, we have designed and realized qualitative experiments in which these modes become visible. |
Keywords
nonlinear elasticity, neutral axis, instability, composite
plate, compound matrix method
|
Milestones
Received: 29 May 2010
Revised: 22 October 2010
Accepted: 22 October 2010
Published: 28 June 2011
|
Authors |
| Sara Roccabianca | |
| Department of Biomedical
Engineering Yale University New Haven, CT 06511 United States |
|
| Davide Bigoni | |
| University of Trento Department of Mechanical and Structural Engineering Via Mesiano 77 I-38123 Trento Italy |
|
| Massimiliano Gei | |
| University of Trento Department of Mechanical and Structural Engineering Via Mesiano 77 I-38123 Trento Italy |
|
|
