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#6823. A modified semi-weight function method for stress intensity factor calculation of a vertical crack terminating at the interface
| January 2027 | publication date |
| Proposal available till | 26-05-2025 |
| 4 total number of authors per manuscript | 0 $ |
| The title of the journal is available only for the authors who have already paid for |
| Journal’s subject area: |
| Applied Mathematics; Mechanical Engineering; Condensed Matter Physics; Materials Science (all); |
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Abstract:
The interfacial crack stress intensity factor (SIF) calculation plays an important role in the safety evaluation and anti-crack design for multilayer structures. The current analytical or numerical methods have difficulty of complicated auxiliary functions or special crack-tip singular elements. In this study, a modified semi-weight function method was proposed based on the submatrix method to calculate the SIFs of the crack vertical to and terminating at the interface of bimaterial (easily appears in compressed air energy storage) and verified by two calculation examples compared with the available literature results. The effects of bimaterial parameters (Ei, ?i), relative crack length (a/w2) and outer integration path (r2) on the SIFs were also analyzed. Research results show that the SIFs (K1 and K2) are related to only the ratio of E2/E1 independent of the single E1 or E2, and they are increased with increase of a/w2. The reasonable range of r2 is rs < r2 < a/2 (rs is minimum finite element size). The modified semi-weight function method has advantages of unified auxiliary function for different crack sizes and external loads and simpler calculation process without any crack-tip singular elements over current methods.
Keywords:
Bimaterial parameters; Modified semi-weight function method; Stress intensity factor; Submatrix method; Vertical crack terminating at interface
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2 place - free (for sale)
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4 place - free (for sale)
Abstract:
The interfacial crack stress intensity factor (SIF) calculation plays an important role in the safety evaluation and anti-crack design for multilayer structures. The current analytical or numerical methods have difficulty of complicated auxiliary functions or special crack-tip singular elements. In this study, a modified semi-weight function method was proposed based on the submatrix method to calculate the SIFs of the crack vertical to and terminating at the interface of bimaterial (easily appears in compressed air energy storage) and verified by two calculation examples compared with the available literature results. The effects of bimaterial parameters (Ei, ?i), relative crack length (a/w2) and outer integration path (r2) on the SIFs were also analyzed. Research results show that the SIFs (K1 and K2) are related to only the ratio of E2/E1 independent of the single E1 or E2, and they are increased with increase of a/w2. The reasonable range of r2 is rs < r2 < a/2 (rs is minimum finite element size). The modified semi-weight function method has advantages of unified auxiliary function for different crack sizes and external loads and simpler calculation process without any crack-tip singular elements over current methods.
Keywords:
Bimaterial parameters; Modified semi-weight function method; Stress intensity factor; Submatrix method; Vertical crack terminating at interface
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