An isogeometric-meshfree coupling approach for contact problems by using the third medium method
This paper presents a concurrent simulation method to integrate the isogeometric-meshfree (IMF) coupling approach with the third medium method for contact problems. The third medium method has been recently proposed as an alternative to conventional contact treatments [1]. This method is based on th...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/139610 |
| _version_ | 1811687766770057216 |
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| author | Huang, Jiazhao Nguyen-Thanh, Nhon Zhou, Kun |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Huang, Jiazhao Nguyen-Thanh, Nhon Zhou, Kun |
| author_sort | Huang, Jiazhao |
| collection | NTU |
| description | This paper presents a concurrent simulation method to integrate the isogeometric-meshfree (IMF) coupling approach with the third medium method for contact problems. The third medium method has been recently proposed as an alternative to conventional contact treatments [1]. This method is based on the concept of formulating a fictive medium in which contacting bodies are free to move and interact. To satisfy contact constraints, the medium is set to change from an isotropic material into an anisotropic one with respect to the movement of contacting bodies. In this way, the penetration of contacting surfaces can be avoided without the aid of an additional gap search algorithm. By further incorporating the IMF coupling approach into the third medium method, the overall problem domain is divided into two sub-domains which are formulated by isogeometric analysis (IGA) and meshfree method, respectively. IGA is applied along the domain boundary while the meshfree approximation is adopted within the interior area. The IMF coupling approach is expected to not only take advantage of both IGA and meshfree methods but also preserve a good convergence based upon the reproducing condition. The accuracy and effectiveness of the present approach are demonstrated by solving a series of benchmark contact problems. |
| first_indexed | 2024-10-01T05:21:32Z |
| format | Journal Article |
| id | ntu-10356/139610 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:21:32Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1396102020-05-20T08:09:59Z An isogeometric-meshfree coupling approach for contact problems by using the third medium method Huang, Jiazhao Nguyen-Thanh, Nhon Zhou, Kun School of Electrical and Electronic Engineering School of Mechanical and Aerospace Engineering SMRT-NTU SMART Urban Rail Corporate Laboratory Engineering::Mechanical engineering Contact Mechanics IGA This paper presents a concurrent simulation method to integrate the isogeometric-meshfree (IMF) coupling approach with the third medium method for contact problems. The third medium method has been recently proposed as an alternative to conventional contact treatments [1]. This method is based on the concept of formulating a fictive medium in which contacting bodies are free to move and interact. To satisfy contact constraints, the medium is set to change from an isotropic material into an anisotropic one with respect to the movement of contacting bodies. In this way, the penetration of contacting surfaces can be avoided without the aid of an additional gap search algorithm. By further incorporating the IMF coupling approach into the third medium method, the overall problem domain is divided into two sub-domains which are formulated by isogeometric analysis (IGA) and meshfree method, respectively. IGA is applied along the domain boundary while the meshfree approximation is adopted within the interior area. The IMF coupling approach is expected to not only take advantage of both IGA and meshfree methods but also preserve a good convergence based upon the reproducing condition. The accuracy and effectiveness of the present approach are demonstrated by solving a series of benchmark contact problems. NRF (Natl Research Foundation, S’pore) 2020-05-20T08:09:59Z 2020-05-20T08:09:59Z 2018 Journal Article Huang, J., Nguyen-Thanh, N., & Zhou, K. (2018). An isogeometric-meshfree coupling approach for contact problems by using the third medium method. International Journal of Mechanical Sciences, 148, 327-336. doi:10.1016/j.ijmecsci.2018.08.031 0020-7403 https://hdl.handle.net/10356/139610 10.1016/j.ijmecsci.2018.08.031 2-s2.0-85053202357 148 327 336 en International Journal of Mechanical Sciences © 2018 Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Contact Mechanics IGA Huang, Jiazhao Nguyen-Thanh, Nhon Zhou, Kun An isogeometric-meshfree coupling approach for contact problems by using the third medium method |
| title | An isogeometric-meshfree coupling approach for contact problems by using the third medium method |
| title_full | An isogeometric-meshfree coupling approach for contact problems by using the third medium method |
| title_fullStr | An isogeometric-meshfree coupling approach for contact problems by using the third medium method |
| title_full_unstemmed | An isogeometric-meshfree coupling approach for contact problems by using the third medium method |
| title_short | An isogeometric-meshfree coupling approach for contact problems by using the third medium method |
| title_sort | isogeometric meshfree coupling approach for contact problems by using the third medium method |
| topic | Engineering::Mechanical engineering Contact Mechanics IGA |
| url | https://hdl.handle.net/10356/139610 |
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