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| A semi-analytical isogeometric analysis for fracture of Reissner plates |
| Received:September 13, 2023 Revised:February 29, 2024 |
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| DOI：10.7511/jslx20230913005 |
| KeyWord:cracked Reissner plate bending fracture semi-analytical IGA SIFs analytical solution |
| Author | Institution |
| 官高菲 |
大连理工大学 力学与航空航天学院 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 张滢睿 |
大连理工大学 力学与航空航天学院 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 余雄 |
大连理工大学 力学与航空航天学院 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 徐新生 |
大连理工大学 力学与航空航天学院 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
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| Abstract: |
| A plate is an important fundamental component in engineering.Due to the influence of materials or manufacturing techniques,some defects are inevitable during the manufacturing process,which gradually develop into macroscopic cracks in service,leading to fracture.At present,the methods for fracture analysis of plates are mainly divided into two categories:analytical and numerical methods.Most analytical methods are only applicable to infinite or semi-infinite structures and simple boundary conditions.Numerical methods require high-density grids in the vicinity of the crack tip,and cannot accurately predict fracture parameters of the structure,requiring complex post-processing procedures.To solve the above issues,this paper proposes a high-precision semi-analytical isogeometric analysis (IGA) for bending fracture problems of cracked Reissner plates.Firstly,the series expansions solutions of generalized displacements (deflections and rotation angles) and generalized stresses (bending moments and shear forces) near the crack tip of a cracked Reissner plate are obtained.Secondly,the isogeometric model of the overall plate is divided into two regions:singular regions near the crack tip and non-singular region without the crack tip.In the singular region,the obtained series solutions are employed to change the large number of nodal unknowns into a small number of undetermined coefficients.However,in the non-singular region,the nodal unknowns remain unchanged.Thus,the formulation of the semi-analytical IGA for bending fracture problems of cracked Reissner plates is obtained,and explicit expressions of singular stress fields and corresponding stress intensity factors (SIFs) are derived simultaneously.Numerical examples verify the accuracy of the present approach and effects of influencing parameters on SIFs are discussed too. |
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