### Abstract

A computationally efficient, layerwise shear-deformation theory for improving the accuracy of stress and strain predictions in the analysis of laminated shells with arbitrary thickness is presented. The theory is two-dimensional and displacement-based. The in-plane displacement field is modeled using the superposition of overall first-order shear deformation and layerwise functions that accommodate the complexity of zigzag-like in-plane deformation through the laminate thickness. By imposing the inter-laminar shear traction continuity, which is ignored by most conventional laminate theories, the accuracy of stress and strain predictions is improved. Moreover, the relations between structural variables that are defined for each layer are obtained through the use of inter-laminar continuity of stress and displacement. The relations are used to reduce the number of independent variables such that the number of structural variables is independent of the number of layer, which makes the model computationally attractive. The developed theory is implemented using finite-element technique. The accuracy and the range of application of the present theory are evinced using a cylindrical shell and a laminated plate with different thickness, for which exact elasticity solutions exist.

Original language | English (US) |
---|---|

Pages (from-to) | 131-152 |

Number of pages | 22 |

Journal | Journal of Reinforced Plastics and Composites |

Volume | 23 |

Issue number | 2 |

DOIs | |

State | Published - 2004 |

### Fingerprint

### Keywords

- Composite laminates
- Inter-laminar continuity
- Shear deformation
- Stress analysis

### ASJC Scopus subject areas

- Ceramics and Composites
- Polymers and Plastics
- Materials Chemistry

### Cite this

*Journal of Reinforced Plastics and Composites*,

*23*(2), 131-152. https://doi.org/10.1177/0731684404030627

**An Efficient Layerwise Shear-Deformation Theory and Finite Element Implementation.** / Zhou, Xu; Chattopadhyay, Aditi; Kim, Heung Soo.

Research output: Contribution to journal › Article

*Journal of Reinforced Plastics and Composites*, vol. 23, no. 2, pp. 131-152. https://doi.org/10.1177/0731684404030627

}

TY - JOUR

T1 - An Efficient Layerwise Shear-Deformation Theory and Finite Element Implementation

AU - Zhou, Xu

AU - Chattopadhyay, Aditi

AU - Kim, Heung Soo

PY - 2004

Y1 - 2004

N2 - A computationally efficient, layerwise shear-deformation theory for improving the accuracy of stress and strain predictions in the analysis of laminated shells with arbitrary thickness is presented. The theory is two-dimensional and displacement-based. The in-plane displacement field is modeled using the superposition of overall first-order shear deformation and layerwise functions that accommodate the complexity of zigzag-like in-plane deformation through the laminate thickness. By imposing the inter-laminar shear traction continuity, which is ignored by most conventional laminate theories, the accuracy of stress and strain predictions is improved. Moreover, the relations between structural variables that are defined for each layer are obtained through the use of inter-laminar continuity of stress and displacement. The relations are used to reduce the number of independent variables such that the number of structural variables is independent of the number of layer, which makes the model computationally attractive. The developed theory is implemented using finite-element technique. The accuracy and the range of application of the present theory are evinced using a cylindrical shell and a laminated plate with different thickness, for which exact elasticity solutions exist.

AB - A computationally efficient, layerwise shear-deformation theory for improving the accuracy of stress and strain predictions in the analysis of laminated shells with arbitrary thickness is presented. The theory is two-dimensional and displacement-based. The in-plane displacement field is modeled using the superposition of overall first-order shear deformation and layerwise functions that accommodate the complexity of zigzag-like in-plane deformation through the laminate thickness. By imposing the inter-laminar shear traction continuity, which is ignored by most conventional laminate theories, the accuracy of stress and strain predictions is improved. Moreover, the relations between structural variables that are defined for each layer are obtained through the use of inter-laminar continuity of stress and displacement. The relations are used to reduce the number of independent variables such that the number of structural variables is independent of the number of layer, which makes the model computationally attractive. The developed theory is implemented using finite-element technique. The accuracy and the range of application of the present theory are evinced using a cylindrical shell and a laminated plate with different thickness, for which exact elasticity solutions exist.

KW - Composite laminates

KW - Inter-laminar continuity

KW - Shear deformation

KW - Stress analysis

UR - http://www.scopus.com/inward/record.url?scp=0742325051&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0742325051&partnerID=8YFLogxK

U2 - 10.1177/0731684404030627

DO - 10.1177/0731684404030627

M3 - Article

VL - 23

SP - 131

EP - 152

JO - Journal of Reinforced Plastics and Composites

JF - Journal of Reinforced Plastics and Composites

SN - 0731-6844

IS - 2

ER -