### Abstract

The paper develops the theory of nonlinear structural design sensitivity analysis for composites undergoing finite elastoplastic deformation. The rate (time-independent) constitutive model, which is objective, is employed to account for the plastic material behavior undergoing finite deformations. The reference volume concept is used to unify the shape and nonshape design problems. A higher order approximation procedure of the integration of the rate constitutive equations is used for the response analysis. The direct differentiation approach is adopted to obtain the design sensitivity equations. A method of partial differentiation of the rate constitutive equations, which yields a set of linear differential equations in the partial derivatives of stresses and internal variables with respect to the design variable, is used. The presentation of the general theory is followed by a numerical example. A composite laminated beam is used as an example and results obtained using the theory developed are compared with those from finite difference.

Original language | English (US) |
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Title of host publication | Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference |

Publisher | AIAA |

Pages | 1742-1752 |

Number of pages | 11 |

Volume | 3 |

State | Published - 1994 |

Event | Proceedings of the 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 1 (of 5) - Hilton Head, SC, USA Duration: Apr 18 1994 → Apr 20 1994 |

### Other

Other | Proceedings of the 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 1 (of 5) |
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City | Hilton Head, SC, USA |

Period | 4/18/94 → 4/20/94 |

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### ASJC Scopus subject areas

- Architecture

### Cite this

*Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference*(Vol. 3, pp. 1742-1752). AIAA.

**Design sensitivity analysis technique for composites undergoing finite elastoplastic deformation.** / Chattopadhyay, Aditi; Guo, Ruijiang.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference.*vol. 3, AIAA, pp. 1742-1752, Proceedings of the 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 1 (of 5), Hilton Head, SC, USA, 4/18/94.

}

TY - GEN

T1 - Design sensitivity analysis technique for composites undergoing finite elastoplastic deformation

AU - Chattopadhyay, Aditi

AU - Guo, Ruijiang

PY - 1994

Y1 - 1994

N2 - The paper develops the theory of nonlinear structural design sensitivity analysis for composites undergoing finite elastoplastic deformation. The rate (time-independent) constitutive model, which is objective, is employed to account for the plastic material behavior undergoing finite deformations. The reference volume concept is used to unify the shape and nonshape design problems. A higher order approximation procedure of the integration of the rate constitutive equations is used for the response analysis. The direct differentiation approach is adopted to obtain the design sensitivity equations. A method of partial differentiation of the rate constitutive equations, which yields a set of linear differential equations in the partial derivatives of stresses and internal variables with respect to the design variable, is used. The presentation of the general theory is followed by a numerical example. A composite laminated beam is used as an example and results obtained using the theory developed are compared with those from finite difference.

AB - The paper develops the theory of nonlinear structural design sensitivity analysis for composites undergoing finite elastoplastic deformation. The rate (time-independent) constitutive model, which is objective, is employed to account for the plastic material behavior undergoing finite deformations. The reference volume concept is used to unify the shape and nonshape design problems. A higher order approximation procedure of the integration of the rate constitutive equations is used for the response analysis. The direct differentiation approach is adopted to obtain the design sensitivity equations. A method of partial differentiation of the rate constitutive equations, which yields a set of linear differential equations in the partial derivatives of stresses and internal variables with respect to the design variable, is used. The presentation of the general theory is followed by a numerical example. A composite laminated beam is used as an example and results obtained using the theory developed are compared with those from finite difference.

UR - http://www.scopus.com/inward/record.url?scp=0028714536&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028714536&partnerID=8YFLogxK

M3 - Conference contribution

VL - 3

SP - 1742

EP - 1752

BT - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

PB - AIAA

ER -