### Abstract

Nonlinear structural design sensitivity analysis for structures undergoing elastoplastic deformation is developed in this paper. The reference volume concept is used to unify the shape and nonshape design problems. The rate (time-independent) constitutive model is employed to account for the plastic material behavior. In the response analysis, a higher order approximation procedure of the integration of the rate constitutive equations is proposed. The direct differentiation approach (DDA) is adopted to obtain the design sensitivity equation for the response variables. 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 included in the DDA procedure. In Part I of this paper, the general theory is described. In Part II, the theory is applied to a composite laminated beam problem.

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

Pages (from-to) | 83-105 |

Number of pages | 23 |

Journal | Mathematical and Computer Modelling |

Volume | 22 |

Issue number | 2 |

DOIs | |

State | Published - 1995 |

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### Keywords

- Composites
- Design sensitivity
- Direct differentiation
- Elastoplasticity
- Reference volume

### ASJC Scopus subject areas

- Computer Science Applications
- Modeling and Simulation

### Cite this

**Structural design sensitivity analysis for composites undergoing elastoplastic deformation.** / Chattopadhyay, Aditi; Guo, R.

Research output: Contribution to journal › Article

*Mathematical and Computer Modelling*, vol. 22, no. 2, pp. 83-105. https://doi.org/10.1016/0895-7177(95)00113-G

}

TY - JOUR

T1 - Structural design sensitivity analysis for composites undergoing elastoplastic deformation

AU - Chattopadhyay, Aditi

AU - Guo, R.

PY - 1995

Y1 - 1995

N2 - Nonlinear structural design sensitivity analysis for structures undergoing elastoplastic deformation is developed in this paper. The reference volume concept is used to unify the shape and nonshape design problems. The rate (time-independent) constitutive model is employed to account for the plastic material behavior. In the response analysis, a higher order approximation procedure of the integration of the rate constitutive equations is proposed. The direct differentiation approach (DDA) is adopted to obtain the design sensitivity equation for the response variables. 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 included in the DDA procedure. In Part I of this paper, the general theory is described. In Part II, the theory is applied to a composite laminated beam problem.

AB - Nonlinear structural design sensitivity analysis for structures undergoing elastoplastic deformation is developed in this paper. The reference volume concept is used to unify the shape and nonshape design problems. The rate (time-independent) constitutive model is employed to account for the plastic material behavior. In the response analysis, a higher order approximation procedure of the integration of the rate constitutive equations is proposed. The direct differentiation approach (DDA) is adopted to obtain the design sensitivity equation for the response variables. 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 included in the DDA procedure. In Part I of this paper, the general theory is described. In Part II, the theory is applied to a composite laminated beam problem.

KW - Composites

KW - Design sensitivity

KW - Direct differentiation

KW - Elastoplasticity

KW - Reference volume

UR - http://www.scopus.com/inward/record.url?scp=0038561023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038561023&partnerID=8YFLogxK

U2 - 10.1016/0895-7177(95)00113-G

DO - 10.1016/0895-7177(95)00113-G

M3 - Article

AN - SCOPUS:0038561023

VL - 22

SP - 83

EP - 105

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - 2

ER -