Corrugated laminate homogenization model

This work addresses the problem of finding a substitute material model for describing the load response of globally flat corrugated sheets made from multidirectional laminates. Exact solutions of the equations governing thin singly curved shells give the displacements, strains and stresses within a unit cell extending over one period of the corrugation pattern. The forces reacting to enforced unit deformations determine the constitutive law of the substitute material model. The analytical results are compared with those of finite-element models.

[1]  J. Reddy.  Theory and Analysis of Elastic Plates and Shells , 2006 .

[2]  Marc R. Schultz,et al.  A Concept for Airfoil-like Active Bistable Twisting Structures , 2008 .

[3]  Demetres Briassoulis,et al.  Equivalent orthotropic properties of corrugated sheets , 1986 .

[4]  Christopher R. Bowen,et al.  Morphing and Shape Control using Unsymmetrical Composites , 2007 .

[5]  Sergio Pellegrino,et al.  Bistable prestressed shell structures , 2004 .

[6]  Michael W. Hyer,et al.  Thermally-induced deformation behavior of unsymmetric laminates , 1998 .

[7]  L. F. Campanile.  Modal Synthesis of Flexible Mechanisms for Airfoil Shape Control , 2008 .

[8]  Farhan Gandhi,et al.  Skin design studies for variable camber morphing airfoils , 2008 .

[9]  Patrice Cartraud,et al.  Homogenization of corrugated core sandwich panels , 2003 .

[10]  Leonid I. Manevitch,et al.  Mechanics of Periodically Heterogeneous Structures , 2002 .

[11]  K. M. Liew,et al.  Nonlinear analysis of corrugated plates using a FSDT and a meshfree method , 2007 .

[12]  Carl T. Herakovich,et al.  Composite Laminates with Negative Through-the-Thickness Poisson's Ratios , 1984 .

[13]  J. Grenestedt,et al.  Corrugated skin in a foam core sandwich panel , 2009 .

[14]  R. A. Shimansky,et al.  Transverse Stiffness of a Sinusoidally Corrugated Plate , 1995 .

[15]  Sergio Pellegrino,et al.  Analytical models for bistable cylindrical shells , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[16]  Paul M. Weaver,et al.  Corrugated composite structures for aircraft morphing skin applications , 2007 .

[17]  F. Scarpa,et al.  Modelling the influence of the orientation and fibre reinforcement on the Negative Poisson's ratio in composite laminates , 2007 .

[18]  Paul M. Weaver,et al.  Concepts for morphing airfoil sections using bi-stable laminated composite structures , 2008 .

[19]  J. Weingarten,et al.  Ueber eine Klasse auf einander abwickelbarer Flächen. , 1861 .

[20]  Keith A. Seffen,et al.  Morphing of curved corrugated shells , 2009 .

[21]  Tomohiro Yokozeki,et al.  Mechanical properties of corrugated composites for candidate materials of flexible wing structures , 2006 .

[22]  Keith A. Seffen,et al.  Multistable corrugated shells , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.