Modeling laminated composite structures as assemblage of sublaminates
type: Item
instance of: scholarly article
title: Modeling laminated composite structures as assemblage of sublaminates
zbMATH Open document ID: 0636.73055
DOI: 10.1016/0020-7683(88)90001-7
author: V. Ramnath
author: Sailendra N. Chatterjee
published in: International Journal of Solids and Structures
publication date: 1988-01-01T00:00:00Z
review text: A mixed variational principle is presented for stress analyses of laminated composite structures with or without delaminations and discontinuities. Of particular interest is the use of a functional involving interlaminar stresses and in-plane strains, instead of strain or complementary energy. A laminate is then treated as an assemblage of sublaminates with assumed variations of displacements and interlaminar stresses through the thickness of each sublaminate. Application of the variational principle, at this stage, reduces the problemn to a set of differential equations and constitutive relations for each sublaminate similar to those encountered in higher order plate theories, as well as continuity conditions of displacements and equilibrium of surface tractions at perfectly bonded interfaces. It is demonstrated with an example of a disbonded laminate modeled as an assemblage of two sublaminates that the mixed boundary conditions at a partly bonded interface yield concentrated forces at the disbond tips. This is the exact form of stress singularity in this model. Finite element analyses are utilized for obtaining solutions with more sublaminates. Stress fields and energy release rates at delamination tips are compared with elasticity and standard finite element solutions in another illustrative example.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
zbMATH DE Number: 4037359
zbMATH Keywords: mixed variational principle
zbMATH Keywords: stress analyses
zbMATH Keywords: laminated composite structures
zbMATH Keywords: delaminations
zbMATH Keywords: discontinuities
zbMATH Keywords: interlaminar stresses
zbMATH Keywords: in- plane strains
zbMATH Keywords: assemblage of sublaminates
zbMATH Keywords: set of differential equations
zbMATH Keywords: stress singularity
MaRDI profile type: Publication
full work available at URL: 0020-7683(88)90001-7
OpenAlex ID: W1994228327
description: scientific article; zbMATH DE number 4037359