The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model
In a roller bit, the flat rubber ring (FRR) often needs to apply a certain amount of compression to ensure that its rotation and static sealing surfaces can be stably sealed. For the predicted Mises stress, values smaller than the actual Mises stress due to soft single-axis compression (SAC) stress...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-08-01
|
| Series: | Materials |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1944/15/16/5529 |
| _version_ | 1797409206105538560 |
|---|---|
| author | Wei Zhou Chengwen Wang Peng Fan Yuchun Kuang Zongzheng Dong |
| author_facet | Wei Zhou Chengwen Wang Peng Fan Yuchun Kuang Zongzheng Dong |
| author_sort | Wei Zhou |
| collection | DOAJ |
| description | In a roller bit, the flat rubber ring (FRR) often needs to apply a certain amount of compression to ensure that its rotation and static sealing surfaces can be stably sealed. For the predicted Mises stress, values smaller than the actual Mises stress due to soft single-axis compression (SAC) stress are predicted by the Yeoh (N = 3) model. To more reasonably predict stress under the static compression of the FRR in the roller bit, the sealing effect of the FRR based on the SAC contact stress and the calculated Mises stress was evaluated by the Yeoh_revised model. Based on the assumption that hydrogenated nitrile-butadiene rubber (HNBR) is isotropic and incompressible, first, we derived the fitting formulas for three types of constitutive models and the Jacobi matrix of the Yeoh_revised model and developed hyperelastic constitutive subroutines. Simultaneously, the accuracy of three models (Yeoh, Yeoh_revised and Ogden) was evaluated by the goodness of fit (R<sup>2</sup>) to data from three kinds of tensile experiment tests. The highest R<sup>2</sup> is 0.9771 with the Yeoh_revised model, which merges the advantages of the other two fitting models and effectively improves the Yeoh model’s soft property of SAC contact stress. Additionally, by measuring on-site FRR wear, the maximum Mises stress on the sealing surface calculated based on the Yeoh_revised model is about twice that of the Yeoh model, and the maximum Mises stress on the rotation contact sealing surface is higher than that on the outside (static sealing) surface, which makes the aging of the rotation surface more severe. Thus, it was demonstrated that, on the premise of ensuring FRR sealing contact stress, the Yeoh_revised model can more reasonably predict the sealing effect of the FRR to more precisely calculate Mises stress than the Yeoh model. This also contributes to FRR structure optimization to prolong the service life of the FRR in the roller bit. |
| first_indexed | 2024-03-09T04:11:00Z |
| format | Article |
| id | doaj.art-c8b6f2b955f140518839e36f12022203 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T04:11:00Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-c8b6f2b955f140518839e36f120222032023-12-03T14:01:03ZengMDPI AGMaterials1996-19442022-08-011516552910.3390/ma15165529The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised ModelWei Zhou0Chengwen Wang1Peng Fan2Yuchun Kuang3Zongzheng Dong4School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaMechatronic Engineering College, Southwest Petroleum University, Chengdu 610500, ChinaMechatronic Engineering College, Southwest Petroleum University, Chengdu 610500, ChinaMechatronic Engineering College, Southwest Petroleum University, Chengdu 610500, ChinaIn a roller bit, the flat rubber ring (FRR) often needs to apply a certain amount of compression to ensure that its rotation and static sealing surfaces can be stably sealed. For the predicted Mises stress, values smaller than the actual Mises stress due to soft single-axis compression (SAC) stress are predicted by the Yeoh (N = 3) model. To more reasonably predict stress under the static compression of the FRR in the roller bit, the sealing effect of the FRR based on the SAC contact stress and the calculated Mises stress was evaluated by the Yeoh_revised model. Based on the assumption that hydrogenated nitrile-butadiene rubber (HNBR) is isotropic and incompressible, first, we derived the fitting formulas for three types of constitutive models and the Jacobi matrix of the Yeoh_revised model and developed hyperelastic constitutive subroutines. Simultaneously, the accuracy of three models (Yeoh, Yeoh_revised and Ogden) was evaluated by the goodness of fit (R<sup>2</sup>) to data from three kinds of tensile experiment tests. The highest R<sup>2</sup> is 0.9771 with the Yeoh_revised model, which merges the advantages of the other two fitting models and effectively improves the Yeoh model’s soft property of SAC contact stress. Additionally, by measuring on-site FRR wear, the maximum Mises stress on the sealing surface calculated based on the Yeoh_revised model is about twice that of the Yeoh model, and the maximum Mises stress on the rotation contact sealing surface is higher than that on the outside (static sealing) surface, which makes the aging of the rotation surface more severe. Thus, it was demonstrated that, on the premise of ensuring FRR sealing contact stress, the Yeoh_revised model can more reasonably predict the sealing effect of the FRR to more precisely calculate Mises stress than the Yeoh model. This also contributes to FRR structure optimization to prolong the service life of the FRR in the roller bit.https://www.mdpi.com/1996-1944/15/16/5529FRRYeoh_revisedMises stressincompressible |
| spellingShingle | Wei Zhou Chengwen Wang Peng Fan Yuchun Kuang Zongzheng Dong The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model Materials FRR Yeoh_revised Mises stress incompressible |
| title | The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model |
| title_full | The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model |
| title_fullStr | The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model |
| title_full_unstemmed | The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model |
| title_short | The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model |
| title_sort | sealing effect improvement prediction of flat rubber ring in roller bit based on yeoh revised model |
| topic | FRR Yeoh_revised Mises stress incompressible |
| url | https://www.mdpi.com/1996-1944/15/16/5529 |
| work_keys_str_mv | AT weizhou thesealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT chengwenwang thesealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT pengfan thesealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT yuchunkuang thesealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT zongzhengdong thesealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT weizhou sealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT chengwenwang sealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT pengfan sealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT yuchunkuang sealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel AT zongzhengdong sealingeffectimprovementpredictionofflatrubberringinrollerbitbasedonyeohrevisedmodel |