Vol. 6, No. 1-4, 2011

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ISSN: 1559-3959
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