Design sensitivity analysis technique for composites undergoing finite elastoplastic deformation

Aditi Chattopadhyay, Ruijiang Guo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PublisherAIAA
Pages1742-1752
Number of pages11
Volume3
StatePublished - 1994
EventProceedings 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 1994Apr 20 1994

Other

OtherProceedings of the 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 1 (of 5)
CityHilton Head, SC, USA
Period4/18/944/20/94

Fingerprint

Sensitivity analysis
Constitutive equations
Composite materials
Laminated composites
Constitutive models
Structural design
Differential equations
Plastics
Derivatives

ASJC Scopus subject areas

  • Architecture

Cite this

Chattopadhyay, A., & Guo, R. (1994). Design sensitivity analysis technique for composites undergoing finite elastoplastic deformation. In 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.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 3 AIAA, 1994. p. 1742-1752.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chattopadhyay, A & Guo, R 1994, Design sensitivity analysis technique for composites undergoing finite elastoplastic deformation. in 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.
Chattopadhyay A, Guo R. Design sensitivity analysis technique for composites undergoing finite elastoplastic deformation. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 3. AIAA. 1994. p. 1742-1752
Chattopadhyay, Aditi ; Guo, Ruijiang. / Design sensitivity analysis technique for composites undergoing finite elastoplastic deformation. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 3 AIAA, 1994. pp. 1742-1752
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