Antiplane-inplane shear mode delamination between two second-order shear deformable composite plates

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The second-order laminated plate theory is utilized in this work to analyze orthotropic composite plates with asymmetric delamination. First, a displacement field satisfying the system of exact kinematic conditions is presented by developing a double-plate system in the uncracked plate portion. The basic equations of linear elasticity and Hamilton's principle are utilized to derive the system of equilibrium and governing equations. As an example, a delaminated simply supported plate is analyzed using Lévy plate formulation and the state-space model by varying the position of the delamination along the plate thickness. The displacements, strains, stresses and the J-integral are calculated by the plate theory solution and compared with those by linear finite-element calculations. The comparison of the numerical and analytical results shows that the second-order plate theory captures very well the mechanical fields. However, if the delamination is separated by only a relatively thin layer from the plate boundary surface, then the second-order plate theory approximates badly the stress resultants and so the mode-II and mode-III J-integrals and thus leads to erroneous results.

Original languageEnglish
Pages (from-to)259-282
Number of pages24
JournalMathematics and Mechanics of Solids
Volume22
Issue number3
DOIs
Publication statusPublished - Mar 1 2017

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Anti-plane Shear
Composite Plates
Delamination
Plate Theory
Composite materials
J-integral
Elasticity
Kinematics
Hamilton's Principle
Laminated Plates
Linear Elasticity
State-space Model
Thin Layer
Governing equation
Finite Element
Formulation

Keywords

  • energy release rate
  • J -integral
  • Lévy plate formulation
  • mixed-mode II/III
  • second-order plate
  • unsymmetric delamination

ASJC Scopus subject areas

  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials

Cite this

Antiplane-inplane shear mode delamination between two second-order shear deformable composite plates. / Szekrényes, A.

In: Mathematics and Mechanics of Solids, Vol. 22, No. 3, 01.03.2017, p. 259-282.

Research output: Contribution to journalArticle

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