| Mixed mode equilibrium analysis of asymptotic fields around stationary sharp V-notches in polymer gels: A linear poroelastic study | |
Li, Yunlong1; Niu, Zheng1; Chen XJ(陈贤佳)2
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| Corresponding Author | Li, Yunlong([email protected]) ; Chen, Xianjia([email protected]) |
| Source Publication | THEORETICAL AND APPLIED FRACTURE MECHANICS
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| 2021-12-01 | |
| Volume | 116Pages:10 |
| ISSN | 0167-8442 |
| Abstract | In this paper, the equilibrium asymptotic stress and solvent concentration fields around stationary sharp V-notches are extracted for in-plane mixed mode loadings employing the linear poroelasticity theory. It is shown that at thermodynamic equilibrium, mechanical and chemical equilibrium equations are uncoupled and thus can be solved independently. The mechanical equilibrium equations are then solved using the Airy stress function technique. This technique replaces the coupled mechanical equilibrium relations with the compatibility biharmonic equation which can be solved using the separation of variables method. Applying traction free boundary conditions on the notch edges leads to an eigenvalue problem which gives both mode I and mode II eigenvalues. These eigenvalues can be real or complex numbers depending on the notch opening angle. Since there are infinite eigenvalues for both modes of deformation, series solutions will be obtained for the equilibrium fields. From these asymptotic solutions, it is found that the obtained stress fields are similar to their corresponding linear elasticity solution. Furthermore, from the solutions, it can be observed that the opening and shear deformations near the notch tip lead to cosine and sine variations of the solvent concentration field with respect to the angular coordinates, respectively. The accuracy of these asymptotic results is finally verified using finite element analyses of a single-edge notched (SEN) specimen subjected to far field applied small displacements. The numerical analyses are performed for two notch opening angles of 30 degrees and 60 degrees for both plane stress and plane strain conditions. The comparative study between the finite element results and the asymptotic solution proves that the present solution can accurately capture the near notch tip stress and solvent concentration fields by considering only the first few terms of the series solutions. |
| Keyword | Mixed mode loadings Asymptotic solution Sharp V-notches Thermodynamic equilibrium Poroelasticity Polymer gels |
| DOI | 10.1016/j.tafmec.2021.103122 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000718886400001 |
| WOS Keyword | FRACTURE ; HYDROGELS ; CRACK |
| WOS Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| Funding Project | Fundamental Research Funds for Central Universities ; Beijing Advanced Discipline Center for Unmanned Aircraft System ; Beijing Municipal Science and Technology Commission[Z191100004619006] ; National Nature Science Foundation of the P. R. China[12002014] ; National Nature Science Foundation of the P. R. China[11872089] ; National Nature Science Foundation of the P. R. China[11772026] ; Defense Industrial Technology Development Program[JCKY2018601B001] ; Defense Industrial Technology Development Program[JCKY2019203A003] |
| Funding Organization | Fundamental Research Funds for Central Universities ; Beijing Advanced Discipline Center for Unmanned Aircraft System ; Beijing Municipal Science and Technology Commission ; National Nature Science Foundation of the P. R. China ; Defense Industrial Technology Development Program |
| Classification | 二类/Q1 |
| Ranking | 3 |
| Contributor | Li, Yunlong ; Chen, Xianjia |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/88041 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Beihang Univ, Sch Aeronaut Sci & Engn, Inst Solid Mech, Beijing 100191, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Yunlong,Niu, Zheng,Chen XJ. Mixed mode equilibrium analysis of asymptotic fields around stationary sharp V-notches in polymer gels: A linear poroelastic study[J]. THEORETICAL AND APPLIED FRACTURE MECHANICS,2021,116:10.Rp_Au:Li, Yunlong, Chen, Xianjia |
| APA | Li, Yunlong,Niu, Zheng,&陈贤佳.(2021).Mixed mode equilibrium analysis of asymptotic fields around stationary sharp V-notches in polymer gels: A linear poroelastic study.THEORETICAL AND APPLIED FRACTURE MECHANICS,116,10. |
| MLA | Li, Yunlong,et al."Mixed mode equilibrium analysis of asymptotic fields around stationary sharp V-notches in polymer gels: A linear poroelastic study".THEORETICAL AND APPLIED FRACTURE MECHANICS 116(2021):10. |
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| Mixed mode equilibri（1694KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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