Nonsingular crack modelling in orthotropic plates by four equivalent single layers
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Tartalom: http://real.mtak.hu/26775/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published



Type = Article
Cím:
Nonsingular crack modelling in orthotropic plates by four equivalent single layers
Létrehozó:
Szekrényes, András
Kiadó:
Elsevier
Dátum:
2016
Téma:
QA Mathematics / matematika
QA74 Analysis / analĂ­zis
TJ Mechanical engineering and machinery / gépészmérnöki tudományok
Tartalmi leírás:
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.
Nyelv:
magyar
magyar
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
text
Azonosító:
Szekrényes, András (2016) Nonsingular crack modelling in orthotropic plates by four equivalent single layers. European Journal of Mechanics A/Solids, 55. pp. 73-99. ISSN 0997-7538
Kapcsolat:
https://dx.doi.org/10.1016/j.euromechsol.2015.08.005
doi:10.1016/j.euromechsol.2015.08.005