Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction Law
A frictional contact problem between a thermo-piezoelectric body and a thermally conductive foundation is numerically studied in this paper. The material’s behaviour is described by means of a thermo-electro-elastic constitutive law. The process is quasistatic, the contact is bilateral and is associ...
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| Format: | Article |
| Language: | English |
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ARQII PUBLICATION
2021-01-01
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| Series: | Applications of Modelling and Simulation |
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| Online Access: | http://arqiipubl.com/ojs/index.php/AMS_Journal/article/view/202/110 |
| _version_ | 1819169765205213184 |
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| author | Youssef Ouafik |
| author_facet | Youssef Ouafik |
| author_sort | Youssef Ouafik |
| collection | DOAJ |
| description | A frictional contact problem between a thermo-piezoelectric body and a thermally conductive foundation is numerically studied in this paper. The material’s behaviour is described by means of a thermo-electro-elastic constitutive law. The process is quasistatic, the contact is bilateral and is associated to Tresca’s law for dry friction. Hybrid formulation is introduced, it is a coupled system for the displacement field, the electric potential, the temperature and two Lagrange multipliers. The discrete scheme of the coupled system is introduced based on a finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivate. The frictional contact is treated by using an augmented Lagrangian approach and a version of Newton’s method. A solution algorithm is discussed and implemented. Finally, numerical simulation results are reported. These simulations show the performance of the algorithm and illustrate the effects of the conductivity of the foundation, as well. |
| first_indexed | 2024-12-22T19:24:42Z |
| format | Article |
| id | doaj.art-dcede23860594a94865bb69ba21e60e3 |
| institution | Directory Open Access Journal |
| issn | 2600-8084 |
| language | English |
| last_indexed | 2024-12-22T19:24:42Z |
| publishDate | 2021-01-01 |
| publisher | ARQII PUBLICATION |
| record_format | Article |
| series | Applications of Modelling and Simulation |
| spelling | doaj.art-dcede23860594a94865bb69ba21e60e32022-12-21T18:15:17ZengARQII PUBLICATIONApplications of Modelling and Simulation2600-80842021-01-0154452Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction LawYoussef Ouafik0National School of Applied Sciences of Safi, Cadi Ayyad University, Safi, MoroccoA frictional contact problem between a thermo-piezoelectric body and a thermally conductive foundation is numerically studied in this paper. The material’s behaviour is described by means of a thermo-electro-elastic constitutive law. The process is quasistatic, the contact is bilateral and is associated to Tresca’s law for dry friction. Hybrid formulation is introduced, it is a coupled system for the displacement field, the electric potential, the temperature and two Lagrange multipliers. The discrete scheme of the coupled system is introduced based on a finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivate. The frictional contact is treated by using an augmented Lagrangian approach and a version of Newton’s method. A solution algorithm is discussed and implemented. Finally, numerical simulation results are reported. These simulations show the performance of the algorithm and illustrate the effects of the conductivity of the foundation, as well.http://arqiipubl.com/ojs/index.php/AMS_Journal/article/view/202/110augmented lagrangian methodbilateral contactfinite elementquasistatic processthermo-piezoelectric material |
| spellingShingle | Youssef Ouafik Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction Law Applications of Modelling and Simulation augmented lagrangian method bilateral contact finite element quasistatic process thermo-piezoelectric material |
| title | Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction Law |
| title_full | Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction Law |
| title_fullStr | Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction Law |
| title_full_unstemmed | Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction Law |
| title_short | Numerical Simulation of a Thermo-piezoelectric Contact Issue with Tresca’s Friction Law |
| title_sort | numerical simulation of a thermo piezoelectric contact issue with tresca s friction law |
| topic | augmented lagrangian method bilateral contact finite element quasistatic process thermo-piezoelectric material |
| url | http://arqiipubl.com/ojs/index.php/AMS_Journal/article/view/202/110 |
| work_keys_str_mv | AT youssefouafik numericalsimulationofathermopiezoelectriccontactissuewithtrescasfrictionlaw |