An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems
A novel method to solve nonlinear contact between two bodies with plane strain behavior is presented in this paper. This method is based on the Boundary Integral Equation (BIE) and the Isogeometric Analysis (IGA). Unlike works that divide the boundary into elements, this method evaluates it as a sin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/7/2345 |
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| author | Stephanie Virginia Camacho Gutiérrez Juan Carlos Jáuregui Correa Aurelio Dominguez-Gonzalez Roberto Augusto Gómez-Loenzo |
| author_facet | Stephanie Virginia Camacho Gutiérrez Juan Carlos Jáuregui Correa Aurelio Dominguez-Gonzalez Roberto Augusto Gómez-Loenzo |
| author_sort | Stephanie Virginia Camacho Gutiérrez |
| collection | DOAJ |
| description | A novel method to solve nonlinear contact between two bodies with plane strain behavior is presented in this paper. This method is based on the Boundary Integral Equation (BIE) and the Isogeometric Analysis (IGA). Unlike works that divide the boundary into elements, this method evaluates it as a single element, reducing the degrees of freedom in the solution. Moreover, the Particle Swarm Optimization Algorithm (PSO) was used in order to estimate the deformation when two bodies are in contact and there is penetration between them. The obtained results were compared with the Finite Element Method (FEM) and the Hertz contact equation. |
| first_indexed | 2024-03-11T10:09:31Z |
| format | Article |
| id | doaj.art-0b25531da514439aa48ae5b355d68998 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T10:09:31Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-0b25531da514439aa48ae5b355d689982023-11-16T14:36:51ZengMDPI AGApplied Sciences2076-34172020-03-01107234510.3390/app10072345An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact ProblemsStephanie Virginia Camacho Gutiérrez0Juan Carlos Jáuregui Correa1Aurelio Dominguez-Gonzalez2Roberto Augusto Gómez-Loenzo3Facultad de Ingeniería, Universidad Autónoma de Querétaro, Cerro de las Campanas S/N, Santiago de Querétaro 76010, MexicoFacultad de Ingeniería, Universidad Autónoma de Querétaro, Cerro de las Campanas S/N, Santiago de Querétaro 76010, MexicoFacultad de Ingeniería, Universidad Autónoma de Querétaro, Cerro de las Campanas S/N, Santiago de Querétaro 76010, MexicoFacultad de Ingeniería, Universidad Autónoma de Querétaro, Cerro de las Campanas S/N, Santiago de Querétaro 76010, MexicoA novel method to solve nonlinear contact between two bodies with plane strain behavior is presented in this paper. This method is based on the Boundary Integral Equation (BIE) and the Isogeometric Analysis (IGA). Unlike works that divide the boundary into elements, this method evaluates it as a single element, reducing the degrees of freedom in the solution. Moreover, the Particle Swarm Optimization Algorithm (PSO) was used in order to estimate the deformation when two bodies are in contact and there is penetration between them. The obtained results were compared with the Finite Element Method (FEM) and the Hertz contact equation.https://www.mdpi.com/2076-3417/10/7/2345Isogeometric Analysisboundary elementcontactoptimization algorithm |
| spellingShingle | Stephanie Virginia Camacho Gutiérrez Juan Carlos Jáuregui Correa Aurelio Dominguez-Gonzalez Roberto Augusto Gómez-Loenzo An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems Applied Sciences Isogeometric Analysis boundary element contact optimization algorithm |
| title | An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems |
| title_full | An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems |
| title_fullStr | An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems |
| title_full_unstemmed | An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems |
| title_short | An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems |
| title_sort | application of isogeometric analysis and boundary integral element method for solving nonlinear contact problems |
| topic | Isogeometric Analysis boundary element contact optimization algorithm |
| url | https://www.mdpi.com/2076-3417/10/7/2345 |
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