Isogeometric based formulations for the bending analysis of laminated composite structural elements
Abstract
Isogeometric analysis (IGA) is a family of numerical methods to solve boundary
value problems. The founding principle of isogeometric methods is aimed at
integrating computer aided design (CAD) with nite element method (FEM).
In general, CAD platforms employ NURBS (Non Uniform Rational B-Splines)
functions to model geometry and the same functions are adopted by isogeometric
methods to approximate the unknown eld variables. Apart from their
ability to model complex geometries, NURBS functions possess better approximation
properties and high inter-element continuity properties. In its earliest
days, isogeometric analysis comprised of Galerkin-isogeometric method alone.
Galerkin-isogeometric method in essence is NURBS-based isoparametric nite
element method. Research e orts in IGA further led to the development of
new numerical methods like isogeometric collocation method. Isogeometric collocation
o ers the geometric
exibility of an isogeometric method and the computational
advantage of a collocation scheme. The present thesis focuses on
development of new computational approaches based on isogeometric methods
for the bending analysis of laminated structural elements, namely, laminated
composite plates and beams. A standard primal approach, shear locking free
approach and a mixed approach based on isogeometric collocation are developed
for the bending analysis of laminated composite plates governed by rst
order shear deformation laminated plate (FSDT) theory. Variational asymptotic
method (VAM) within the framework of isogeometric analysis is presented
for the bending analysis of laminated composite beams
Collections
- Civil Engineering (CiE) [347]