Nonsingular crack modelling in orthotropic plates by four equivalent single layers

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

In this work the second- and third-order laminated plate theories are applied to model delaminated composite plates with material orthotropy. The method of four equivalent single layers is proposed and a general third-order displacement field is utilized in each layer. The kinematic continuity between the layers is established by the system of exact kinematic conditions. Apart from the continuity of the in-plane displacements between the interfaces of the layers even the continuity of shear strains, their derivatives and curvatures is imposed. As a novelty a so-called shear strain control condition is introduced, which means that the shear strains at two or more points located along the thickness are imposed to be the same. Using the proposed conditions the equilibrium equations are derived for the delaminated and undelaminated regions of the plate. Plates with different boundary conditions are solved as examples and the theorem of autocontinuity is introduced, which is essentially related to the continuity conditions between the delaminated and undelaminated parts. The stress and displacement fields as well as the J-integral are determined in the examples and compared to finite element calculations. The results indicate that the control condition works very well in the case of the second-order plate theory, in contrast it is rather a disadvantage in the case of the third-order approximation.

Original languageEnglish
Pages (from-to)73-99
Number of pages27
JournalEuropean Journal of Mechanics, A/Solids
Volume55
DOIs
Publication statusPublished - Jan 1 2016

Fingerprint

orthotropic plates
Orthotropic plates
Shear strain
Crack
cracks
continuity
shear strain
Cracks
Kinematics
plate theory
Modeling
Plate Theory
Strain control
kinematics
Orthotropy
J integral
J-integral
equilibrium equations
Laminated Plates
Boundary conditions

Keywords

  • Mixed mode II/III fracture
  • Second-order plate theory
  • Theoreom of autocontinuity

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Materials Science(all)
  • Mathematical Physics

Cite this

Nonsingular crack modelling in orthotropic plates by four equivalent single layers. / Szekrényes, A.

In: European Journal of Mechanics, A/Solids, Vol. 55, 01.01.2016, p. 73-99.

Research output: Contribution to journalArticle

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