A contact problem for a piezoelectric actuator on an elasto-plastic obstacle
Abstract A problem of motion of a piezoelectric actuator in contact with an elasto-plastic obstacle is reformulated as a PDE in one spatial dimension with hysteresis in the bulk and on the contact boundary. The model is shown to dissipate energy in agreement with the principles of thermodynamics. Th...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13663-022-00721-y |
| _version_ | 1817990735685746688 |
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| author | Pavel Krejčí Adrien Petrov |
| author_facet | Pavel Krejčí Adrien Petrov |
| author_sort | Pavel Krejčí |
| collection | DOAJ |
| description | Abstract A problem of motion of a piezoelectric actuator in contact with an elasto-plastic obstacle is reformulated as a PDE in one spatial dimension with hysteresis in the bulk and on the contact boundary. The model is shown to dissipate energy in agreement with the principles of thermodynamics. The main result includes existence, uniqueness, and continuous data dependence of solutions. |
| first_indexed | 2024-04-14T01:03:30Z |
| format | Article |
| id | doaj.art-89720061b0c44a9aac9d66c602f4eb93 |
| institution | Directory Open Access Journal |
| issn | 2730-5422 |
| language | English |
| last_indexed | 2024-04-14T01:03:30Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Algorithms for Sciences and Engineering |
| spelling | doaj.art-89720061b0c44a9aac9d66c602f4eb932022-12-22T02:21:19ZengSpringerOpenFixed Point Theory and Algorithms for Sciences and Engineering2730-54222022-04-012022111210.1186/s13663-022-00721-yA contact problem for a piezoelectric actuator on an elasto-plastic obstaclePavel Krejčí0Adrien Petrov1Faculty of Civil Engineering, Czech Technical UniversityCNRS, INSA-Lyon, Institut Camille Jordan UMR 5208, Université de LyonAbstract A problem of motion of a piezoelectric actuator in contact with an elasto-plastic obstacle is reformulated as a PDE in one spatial dimension with hysteresis in the bulk and on the contact boundary. The model is shown to dissipate energy in agreement with the principles of thermodynamics. The main result includes existence, uniqueness, and continuous data dependence of solutions.https://doi.org/10.1186/s13663-022-00721-yPiezoelectricityContact problemHysteresis operators |
| spellingShingle | Pavel Krejčí Adrien Petrov A contact problem for a piezoelectric actuator on an elasto-plastic obstacle Fixed Point Theory and Algorithms for Sciences and Engineering Piezoelectricity Contact problem Hysteresis operators |
| title | A contact problem for a piezoelectric actuator on an elasto-plastic obstacle |
| title_full | A contact problem for a piezoelectric actuator on an elasto-plastic obstacle |
| title_fullStr | A contact problem for a piezoelectric actuator on an elasto-plastic obstacle |
| title_full_unstemmed | A contact problem for a piezoelectric actuator on an elasto-plastic obstacle |
| title_short | A contact problem for a piezoelectric actuator on an elasto-plastic obstacle |
| title_sort | contact problem for a piezoelectric actuator on an elasto plastic obstacle |
| topic | Piezoelectricity Contact problem Hysteresis operators |
| url | https://doi.org/10.1186/s13663-022-00721-y |
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