Shape optimization for composite materials in linear elasticity: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Shape optimization for composite materials in linear elasticity

Fallahpour, Merlin / Harbrecht, Helmut

This article is devoted to the optimal design of the microstructure in composite materials, which are governed by the equations of linear elasticity. To this end, we combine homogenization with shape optimization. In particular, we determine the sensitivity of the homogenized coefficients of the elasticity tensor with respect to the shape of the periodic microstructure also in case of spatially varying material coefficients. We compute the respective Hadamard shape gradient and demonstrate the applicability and feasibility of our approach by numerical experiments for different problem settings.

Access

Page navigation

Document information

Export, share and cite

Shape optimization for composite materials in linear elasticity

Fallahpour, Merlin / Harbrecht, Helmut

This article is devoted to the optimal design of the microstructure in composite materials, which are governed by the equations of linear elasticity. To this end, we combine homogenization with shape optimization. In particular, we determine the sensitivity of the homogenized coefficients of the elasticity tensor with respect to the shape of the periodic microstructure also in case of spatially varying material coefficients. We compute the respective Hadamard shape gradient and demonstrate the applicability and feasibility of our approach by numerical experiments for different problem settings.

Shape optimization for composite materials in linear elasticity

Fallahpour, Merlin / Harbrecht, Helmut

This article is devoted to the optimal design of the microstructure in composite materials, which are governed by the equations of linear elasticity. To this end, we combine homogenization with shape optimization. In particular, we determine the sensitivity of the homogenized coefficients of the elasticity tensor with respect to the shape of the periodic microstructure also in case of spatially varying material coefficients. We compute the respective Hadamard shape gradient and demonstrate the applicability and feasibility of our approach by numerical experiments for different problem settings.

Access

Page navigation

Document information

Export, share and cite

Document information

Title:

Shape optimization for composite materials in linear elasticity

Additional title:

Optim Eng

Contributors:

Fallahpour, Merlin (author) / Harbrecht, Helmut (author)

Published in:

Optimization and Engineering ; 24 ; 2115-2143

Publication date:

2023-09-01

Size:

29 pages

ISSN:

1573-2924 , 1389-4420

DOI:

https://doi.org/10.1007/s11081-022-09768-7

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Linear elasticity , Composite materials , Homogenization , Shape optimization Mathematics , Optimization , Engineering, general , Systems Theory, Control , Environmental Management , Operations Research/Decision Theory , Financial Engineering , Mathematics and Statistics

Licence:

http://creativecommons.org/licenses/by/4.0/

Similar titles

Piecewise linear constitutive relation for pseudo-elasticity of shape memory alloy (SMA)

Du, X. W. / Sun, G. / Sun, S. S. | British Library Online Contents | 2005

An optimization approach for the Cauchy problem in linear elasticity

Baranger, T. N. / Andrieux, S. p. | British Library Online Contents | 2008

Introduction to Linear Elasticity

Gould, Phillip L. | UB Braunschweig | 1994

Introduction to Linear Elasticity

Gould, Phillip L. | TIBKAT | 1994

High-elasticity composite floor

LI YAN | European Patent Office | 2016

Free access