A contact problem for a piezoelectric actuator on an elasto-plastic obstacle

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 re...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering 2022-04, Vol.2022 (1), p.1-12, Article 12
Main Authors: Krejčí, Pavel, Petrov, Adrien
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Applications of Mathematics
Barriers
Civil engineering
Contact Mechanics and Engineering Applications
Contact problem
Differential Geometry
Energy
Hysteresis operators
Mathematical and Computational Biology
Mathematical models
Mathematics
Mathematics and Statistics
Piezoelectric actuators
Piezoelectricity
Topology
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Summary: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.
ISSN:2730-5422
1687-1820
2730-5422
1687-1812
DOI:10.1186/s13663-022-00721-y