Back to Search
Start Over
Optimal control of rigidity parameters of thin inclusions in composite materials
- Source :
- Zeitschrift für angewandte Mathematik und Physik. 68
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
-
Abstract
- In the paper, an equilibrium problem for an elastic body with a thin elastic and a volume rigid inclusion is analyzed. It is assumed that the thin inclusion conjugates with the rigid inclusion at a given point. Moreover, a delamination of the thin inclusion is assumed. Inequality type boundary conditions are considered at the crack faces to prevent a mutual penetration between the faces. A passage to the limit is justified as the rigidity parameter of the thin inclusion goes to infinity. The main goal of the paper is to analyze an optimal control problem with a cost functional characterizing a deviation of the displacement field from a given function. A rigidity parameter of the thin inclusion serves as a control function. An existence theorem to this problem is proved.
- Subjects :
- genetic structures
General Mathematics
Rigid inclusion
General Physics and Astronomy
Geometry
02 engineering and technology
01 natural sciences
Thin inclusion
Control function
Thin inclusion, Rigid inclusion, Optimal control, Elastic body, Crack, Nonpenetration condition
0203 mechanical engineering
Equilibrium problem
Boundary value problem
0101 mathematics
Mathematics
Crack
Applied Mathematics
010102 general mathematics
Mathematical analysis
Existence theorem
Optimal control
Nonpenetration condition
Elastic body
020303 mechanical engineering & transports
Displacement field
Subjects
Details
- ISSN :
- 14209039 and 00442275
- Volume :
- 68
- Database :
- OpenAIRE
- Journal :
- Zeitschrift für angewandte Mathematik und Physik
- Accession number :
- edsair.doi.dedup.....add29c1765ea11b02d737aa2ba09dcf9