## Abstract

A damage growth problem of nonlinear laminated plates subjected to a transverse concentrated

load is analytically solved to estimate the significance of damage due to low velocity foreign object

impact. The damaged portion is modelled as equally spaced multiply delaminated plates. A

superposition technique is used to derive an approximated relation between the load and deflection.

The first problem is a basic one, that is, a slightly nonlinear response of an intact global plate without

damage pushed by a concentrated load at its center. The second problem is that of a nonlinear response

of piled circular plates with the average radius and the thickness of the delaminated ligaments loaded

by an equivalent force to the reduced bending stiffness due to the introduction of the damage. The

periphery of the delaminated plate is assumed fixed, considering that the bending stiffness of the intact

portion is much higher than the delaminated portion. Some nonlinear effect of the first problem is

considered by introducing initial inplane stress caused by an equivalent relative displacement of the

damaged portion of the first problem. The results are compared with finite element solutions and

showed excellent agreement.

load is analytically solved to estimate the significance of damage due to low velocity foreign object

impact. The damaged portion is modelled as equally spaced multiply delaminated plates. A

superposition technique is used to derive an approximated relation between the load and deflection.

The first problem is a basic one, that is, a slightly nonlinear response of an intact global plate without

damage pushed by a concentrated load at its center. The second problem is that of a nonlinear response

of piled circular plates with the average radius and the thickness of the delaminated ligaments loaded

by an equivalent force to the reduced bending stiffness due to the introduction of the damage. The

periphery of the delaminated plate is assumed fixed, considering that the bending stiffness of the intact

portion is much higher than the delaminated portion. Some nonlinear effect of the first problem is

considered by introducing initial inplane stress caused by an equivalent relative displacement of the

damaged portion of the first problem. The results are compared with finite element solutions and

showed excellent agreement.

Original language | English |
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Number of pages | 10 |

Publication status | Published - 24 Jul 2015 |

Event | ICCM20 - Bella Center, Copenhagen, Denmark Duration: 19 Jul 2015 → 24 Jul 2015 |

### Conference

Conference | ICCM20 |
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Country/Territory | Denmark |

City | Copenhagen |

Period | 19/07/15 → 24/07/15 |

## Keywords

- Impact Damage
- Composite laminate
- Energy Release Rate