2024-03-29T00:20:26Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00019089
2023-01-16T04:08:03Z
312:313:314
Shape optimization problem of elastic bodies for controlling contact pressure
Iwai, Takahiro
Sugimoto, Akinobu
Aoyama, Taiki
Azegami, Hideyuki
open access
calculus of variations
shape optimization
elastic contact
shape derivative
traction method
The present paper describes a numerical solution to shape optimization problems of contacting elastic bodies for controlling contact pressure. The contacting elastic problem is formulated as the minimization of potential energy with a constraint for penetration based on the large deformation theory. The contact pressure is defined as a Lagrange multiplier for the constraint of penetration in the minimization problem. An error norm of the contact pressure to a desired distribution is chosen as an objective functional. The shape derivative of the functional is theoretically evaluated. Numerical solutions are constructed by the traction method.
日本応用数理学会
2010
eng
journal article
VoR
http://hdl.handle.net/2237/21194
https://nagoya.repo.nii.ac.jp/records/19089
https://doi.org/10.14495/jsiaml.2.1
1883-0609
JSIAM Letters
2
1
4
https://nagoya.repo.nii.ac.jp/record/19089/files/2_1.pdf
application/pdf
456.4 kB
2018-02-21