1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation
Peridynamics is a nonlocal theory of continuum mechanics, which was developed by Silling (2000). However, the utilization of explicit time integration in the peridynamics implementation introduces difficulties when it comes to problem involving quasi- static conditions. As a consequences, there exis...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Penerbit UTEM
2022
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/36891/1/1D%20peridynamics%20subjected%20to%20quasi-static%20load%20with%20adaptive%20dynamic%20relaxation.pdf http://umpir.ump.edu.my/id/eprint/36891/7/1D%20peridynamics%20subjected%20to%20quasistatic%20load%20with%20adaptive%20dynamic%20relaxation.pdf |
| _version_ | 1825814832262152192 |
|---|---|
| author | Mohd Hilmy Naim, Mohd Yakin Nik Mohamed, Nik Abdullah Mohd Ruzaimi, Mat Rejab Nur A., Hashim |
| author_facet | Mohd Hilmy Naim, Mohd Yakin Nik Mohamed, Nik Abdullah Mohd Ruzaimi, Mat Rejab Nur A., Hashim |
| author_sort | Mohd Hilmy Naim, Mohd Yakin |
| collection | UMP |
| description | Peridynamics is a nonlocal theory of continuum mechanics, which was developed by Silling (2000). However, the utilization of explicit time integration in the peridynamics implementation introduces difficulties when it comes to problem involving quasi- static conditions. As a consequences, there exist a necessity obtain a steady-state solutions in an effort to validate the peridynamic predictions against analytical or experimental measurements. In this paper, by implementing the bond-based peridynamics method in an in- house Matlab code, combined with the utilisation of Adaptive Dynamic Relaxation, we analyse a 1-dimensional bar problem and compare with the classical analytical solution. The comparison plot between peridynamics solver and analytical solution obtained showed a very good agreement. The numerical example illustrates that successful material deformation can be achieved by using bond-based peridynamics with adaptive dynamic relaxation. |
| first_indexed | 2024-03-06T13:04:24Z |
| format | Article |
| id | UMPir36891 |
| institution | Universiti Malaysia Pahang |
| language | English English |
| last_indexed | 2024-03-06T13:04:24Z |
| publishDate | 2022 |
| publisher | Penerbit UTEM |
| record_format | dspace |
| spelling | UMPir368912023-09-25T06:26:40Z http://umpir.ump.edu.my/id/eprint/36891/ 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation Mohd Hilmy Naim, Mohd Yakin Nik Mohamed, Nik Abdullah Mohd Ruzaimi, Mat Rejab Nur A., Hashim TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery TL Motor vehicles. Aeronautics. Astronautics Peridynamics is a nonlocal theory of continuum mechanics, which was developed by Silling (2000). However, the utilization of explicit time integration in the peridynamics implementation introduces difficulties when it comes to problem involving quasi- static conditions. As a consequences, there exist a necessity obtain a steady-state solutions in an effort to validate the peridynamic predictions against analytical or experimental measurements. In this paper, by implementing the bond-based peridynamics method in an in- house Matlab code, combined with the utilisation of Adaptive Dynamic Relaxation, we analyse a 1-dimensional bar problem and compare with the classical analytical solution. The comparison plot between peridynamics solver and analytical solution obtained showed a very good agreement. The numerical example illustrates that successful material deformation can be achieved by using bond-based peridynamics with adaptive dynamic relaxation. Penerbit UTEM 2022 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/36891/1/1D%20peridynamics%20subjected%20to%20quasi-static%20load%20with%20adaptive%20dynamic%20relaxation.pdf pdf en cc_by_nc_nd_4 http://umpir.ump.edu.my/id/eprint/36891/7/1D%20peridynamics%20subjected%20to%20quasistatic%20load%20with%20adaptive%20dynamic%20relaxation.pdf Mohd Hilmy Naim, Mohd Yakin and Nik Mohamed, Nik Abdullah and Mohd Ruzaimi, Mat Rejab and Nur A., Hashim (2022) 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation. Journal of Engineering and Technology (JET). pp. 1-4. ISSN 2180-3811. (In Press / Online First) (In Press / Online First) https://jet.utem.edu.my/jet |
| spellingShingle | TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery TL Motor vehicles. Aeronautics. Astronautics Mohd Hilmy Naim, Mohd Yakin Nik Mohamed, Nik Abdullah Mohd Ruzaimi, Mat Rejab Nur A., Hashim 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation |
| title | 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation |
| title_full | 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation |
| title_fullStr | 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation |
| title_full_unstemmed | 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation |
| title_short | 1D peridynamics subjected to quasi-static load with adaptive dynamic relaxation |
| title_sort | 1d peridynamics subjected to quasi static load with adaptive dynamic relaxation |
| topic | TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery TL Motor vehicles. Aeronautics. Astronautics |
| url | http://umpir.ump.edu.my/id/eprint/36891/1/1D%20peridynamics%20subjected%20to%20quasi-static%20load%20with%20adaptive%20dynamic%20relaxation.pdf http://umpir.ump.edu.my/id/eprint/36891/7/1D%20peridynamics%20subjected%20to%20quasistatic%20load%20with%20adaptive%20dynamic%20relaxation.pdf |
| work_keys_str_mv | AT mohdhilmynaimmohdyakin 1dperidynamicssubjectedtoquasistaticloadwithadaptivedynamicrelaxation AT nikmohamednikabdullah 1dperidynamicssubjectedtoquasistaticloadwithadaptivedynamicrelaxation AT mohdruzaimimatrejab 1dperidynamicssubjectedtoquasistaticloadwithadaptivedynamicrelaxation AT nurahashim 1dperidynamicssubjectedtoquasistaticloadwithadaptivedynamicrelaxation |