Bending solution of third-order orthotropic Reddy plates with asymmetric interfacial crack
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Tartalom: http://www.sciencedirect.com/science/article/pii/S0020768...
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published



Type = Article
Cím:
Bending solution of third-order orthotropic Reddy plates with asymmetric interfacial crack
Létrehozó:
Szekrényes, András
Dátum:
2014-07
Téma:
QA Mathematics / matematika
QA74 Analysis / analízis
TJ Mechanical engineering and machinery / gépészmérnöki tudományok
Tartalmi leírás:
In this paper Reddy?s third-order shear deformable plate theory is applied to asymmetrically delaminated orthotropic composite plates under antiplane?inplane shear fracture mode. A double-plate system is utilized to capture the mechanical behavior of the uncracked plate portion. An assumed displacement field is used and modified in order to satisfy the traction-free conditions at the top and bottom plate boundaries. Moreover, the system of exact kinematic conditions was also implemented into the novel plate model. An important improvement of this work compared to previous papers is the continuity condition of the shear strains at the interface of the double-plate system. Applying these conditions it is shown that the nineteen parameters of the third-order displacement field can be reduced to nine. Using the simplified displacement field the governing equations are derived, as well. The solution of a simply-supported delaminated plate is presented using the state-space model and the displacement, strain and stress fields are determined, respectively. The energy release rate and mode mixity distributions are calculated using the 3D J-integral. The analytical results are compared to those by finite element computations and it is concluded that the present model is the most accurate one among the previous plate theory-based approaches.
Típus:
Article
PeerReviewed
Formátum:
text
Azonosító:
Szekrényes, András (2014) Bending solution of third-order orthotropic Reddy plates with asymmetric interfacial crack. International Journal of Solids and Structures, 51 (14). pp. 2598-2619. ISSN ISSN 0020-7683
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