Design of optimal control for motions of elastic bodies: Variational approaches

2016 ◽  
Vol 37 (3) ◽  
pp. 368-380 ◽  
Author(s):  
V. V. Saurin ◽  
G. V. Kostin
Keyword(s):  
Optimal Control ◽  
Elastic Bodies ◽  
Variational Approaches

Optimal Control of Inclusion and Crack Shapes in Elastic Bodies

2012 ◽  
Vol 155 (1) ◽  
pp. 54-78 ◽  
Author(s):  
A. Khludnev ◽  
G. Leugering ◽  
M. Specovius-Neugebauer
Keyword(s):  
Optimal Control ◽  
Elastic Bodies

On modeling thin inclusions in elastic bodies with a damage parameter

2018 ◽  
Vol 24 (9) ◽  
pp. 2742-2753 ◽  
Author(s):  
A. M. Khludnev
Keyword(s):  
Optimal Control ◽  
Nonlinear Boundary ◽  
Equilibrium Problems ◽  
Control Function ◽  
Nonlinear Boundary Conditions ◽  
Energy Functional ◽  
Damage Parameter ◽  
Elastic Bodies ◽  
The Matrix ◽  
Crack Faces

In this paper, we analyze equilibrium problems for 2D elastic bodies with two thin inclusions in the presence of damage. A delamination of the inclusions from the matrix is assumed, thus forming a crack between the elastic body and the inclusions. Nonlinear boundary conditions at the crack faces are considered to prevent a mutual penetration between the faces. Weak and strong formulations of the problems are discussed. The paper provides an asymptotic analysis with respect to the damage parameter. An optimal control problem is analyzed with a cost functional to be equal to the derivative of the energy functional with respect to the crack length, and the damage parameter being a control function.

Sign in / Sign up

Export Citation Format

Share Document