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Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method

Electronic Theses of Indian Institute of Science

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Title Analysis of Thick Laminated Composite Beams using Variational Asymptotic Method
 
Creator Ameen, Maqsood Mohammed
 
Subject Laminated Composite Beams
Asymptotic Method
Beams - Static Analysis
Laminated Composites
Variational Asymptotic Method (VAM)
Beams - Cross-sectional Analysis
Aerospace Engineering
 
Description An asymptotically-exact methodology is presented for obtaining the cross-sectional stiffness matrix of a pre-twisted, moderately-thick beam having rectangular cross sections and made of transversely isotropic material. The beam is modelled with-out assumptions from 3-D elasticity. The strain energy of the beam is computed making use of the constitutive law and the kinematical relations derived with the inclusion of geometrical nonlinearities and initial twist. Large displacements and rotations are allowed, but small strain is assumed. The Variational Asymptotic Method (VAM) is used to minimize the energy functional, thereby reducing the cross section to a point on the reference line with appropriate properties, yielding a 1-D constitutive law. In this method as applied herein, the 2-D cross-sectional analysis is performed asymptotically by taking advantage of a material small parameter and two geometric small parameters. 3-D strain components are derived using kinematics and arranged as orders of the small parameters. Warping functions are obtained by the minimisation of strain energy subject to certain set of constraints that renders the 1-D strain measures well-defined. Closed-form expressions are derived for the 3-D non-linear warping and stress fields. The model is capable of predicting interlaminar and transverse shear stresses accurately up to first order.
 
Contributor Harursampath, Dineshkumar
 
Date 2018-06-18T11:20:48Z
2018-06-18T11:20:48Z
2018-06-18
2016
 
Type Thesis
 
Identifier http://etd.iisc.ernet.in/2005/3720
http://etd.iisc.ernet.in/abstracts/4590/G27799-Abs.pdf
 
Language en_US
 
Relation G27799