### 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 language | English |
---|---|

Pages (from-to) | 259-282 |

Number of pages | 24 |

Journal | Mathematics and Mechanics of Solids |

Volume | 22 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 1 2017 |

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### 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.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Antiplane-inplane shear mode delamination between two second-order shear deformable composite plates

AU - Szekrényes, A.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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.

AB - 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.

KW - energy release rate

KW - J -integral

KW - Lévy plate formulation

KW - mixed-mode II/III

KW - second-order plate

KW - unsymmetric delamination

UR - http://www.scopus.com/inward/record.url?scp=85015190621&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85015190621&partnerID=8YFLogxK

U2 - 10.1177/1081286515581871

DO - 10.1177/1081286515581871

M3 - Article

AN - SCOPUS:85015190621

VL - 22

SP - 259

EP - 282

JO - Mathematics and Mechanics of Solids

JF - Mathematics and Mechanics of Solids

SN - 1081-2865

IS - 3

ER -