Optimal Control Problems in Finite-Strain Elasticity by Inner Pressure and Fiber Tension
Optimal control problems for finite-strain elasticity are considered. An inner pressure or an inner fiber tension is acting as a driving force. Such internal forces are typical, for instance, for the motion of heliotropic plants, and for muscle tissue. Non-standard objective functions relevant for e...
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| Format: | Article |
| Language: | English |
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Universitätsbibliothek Chemnitz
2016
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-209295 http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-209295 http://www.qucosa.de/fileadmin/data/qucosa/documents/20929/fams-02-00004.pdf http://www.qucosa.de/fileadmin/data/qucosa/documents/20929/signatur.txt.asc |
| Summary: | Optimal control problems for finite-strain elasticity are considered. An inner pressure or an inner fiber tension is acting as a driving force. Such internal forces are typical, for instance, for the motion of heliotropic plants, and for muscle tissue. Non-standard objective functions relevant for elasticity problems are introduced. Optimality conditions are derived on a formal basis, and a limited-memory quasi-Newton algorithm for their solution is formulated in function space. Numerical experiments confirm the expected mesh-independent performance. |
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