|
| A symplectic method for the anti-plane fracture analysis of an interface V-notch in fractional viscoelastic media |
| Received:December 22, 2022 Revised:April 02, 2023 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20221222001 |
| KeyWord:symplectic method fractional viscoelastic media interfacial fracture anti-plane stress intensity factor |
| Author | Institution |
| 徐成辉 |
西北工业大学 力学与土木建筑学院, 西安 ;西北工业大学 复杂系统动力学与控制工信部重点实验室, 西安 |
| 孙义国 |
西北工业大学 力学与土木建筑学院, 西安 ;西北工业大学 复杂系统动力学与控制工信部重点实验室, 西安 |
| 冷森 |
西北工业大学 力学与土木建筑学院, 西安 ;西北工业大学 复杂系统动力学与控制工信部重点实验室, 西安 |
| 邓子辰 |
西北工业大学 力学与土木建筑学院, 西安 ;西北工业大学 复杂系统动力学与控制工信部重点实验室, 西安 |
|
| Hits: 364 |
| Download times: 120 |
| Abstract: |
| This paper presents a symplectic method for the anti-plane fracture analysis of an interface V-notch in fractional viscoelastic composite media.The fractional Kelvin Zener model is used to describe the viscoelastic characteristics of materials.With the help of Laplace transform,the fundamental equations of an anti-plane viscoelastic fracture problem in time domain are transformed into frequency domain.By introducing the dual generalized stress variables,the Hamiltonian system is established.Then the eigenvalues and eigensolutions of the Hamiltonian dual equation are obtained by the method of separation of variables,and the unknown coefficients of the symplectic series are determined by the symplectic adjoint orthogonal relationship and the outer boundary conditions.In this way,the analytical expression of the anti-plane stress/strain intensity factor of the viscoelastic media with a V-notch is derived obtained.Finally,the intensity factor in time domain is found by inverse Laplace transform.In numerical examples,the accuracy of the presented method is verified,and the effects of fractional order parameters,notch angle and external load on the stress/strain intensity factor are revealed. |
|
|
|