Asymptotic fields near an interface corner in orthotropic bi-materials
Source abstract
Abstract
Based on the existing asymptotic solutions of the displacement and singular stress fields in the vicinity of a singular point in 2D orthotropic elastic materials, the two simple eigenequations are explicitly given for the symmetric and anti-symmetric deformation modes to determine the orders of the stress singularity at the interface corner in orthotropic bi-materials, respectively. The related displacement and singular stress fields near the interface corner are also explicitly established. The relevant stress intensity factors are defined as in the case of crack problems. The theoretical results have been confirmed by numerical, finite-element-based results in a special bi-material case. The solution obtained in this paper may be applied to the interface corner in the orthotropic/orthotropic, orthotropic/isotropic, and isotropic/isotropic bi-materials, and it will be very useful to evaluate the strength of the bonded orthotropic bi-materials with interface corners.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Structural Behavior of Reinforced Concrete
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (27)
Show source-provided references
1. Bogy DB (1971) Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions. J Appl Mech 38: 377–38610.1115/1.3408786 ↗
2. Bogy DB, Wang KC (1971) Stress singularities at interface corners in bonded dissimilar isotropic elastic materials. Int J Solids Struct 7: 993–1005. doi: 10.1016/0020-7683(71)90077-110.1016/0020-7683(71)90077-1 ↗
3. Chen HP (1998) Stress singularities in anisotropic multi-material wedges and junctions. Int J Solids Struct 35(11): 1057–1073. doi: 10.1016/S0020-7683(97)00108-X10.1016/S0020-7683(97)00108-X ↗
4. Chen DH, Nisitani H (1992) Singular stress field in two bonded wedges. Trans Jpn Soc Mech Eng A 58: 457–464 (in Japanese)10.1299/kikaia.58.457 ↗
5. Chen DH, Nisitani H (1993a) Logarithmic singular stress field in bonded wedges. Trans Jpn Soc Mech Eng A 59: 2687–2693 (in Japanese)10.1299/kikaia.59.2687 ↗
6. Chen DH, Nisitani H (1993b) Singular stress field near the corner of jointed dissimilar materials. J Appl Mech 60: 607–613. doi: 10.1115/1.290084710.1115/1.2900847 ↗
7. Delale F (1984) Stress singularities in bonded anisotropic materials. Int J Solids Struct 20(1): 31–40. doi: 10.1016/0020-7683(84)90073-810.1016/0020-7683(84)90073-8 ↗
8. Dempsey JP, Sinclair GB (1979) On the stress singularities in the plane elasticity of the composite wedge. J Elast 9: 373–391. doi: 10.1007/BF0004461510.1007/BF00044615 ↗
9. Dempsey JP, Sinclair GB (1981) On the singular behavior at the vertex of a bi-material wedge. J Elast 11: 317–327. doi: 10.1007/BF0004194210.1007/BF00041942 ↗
10. Hein VL, Erdogan F (1971) Stress singularities in a two-material wedge. Int J Fract Mech 7: 317–330. doi: 10.1007/BF0018430710.1007/BF00184307 ↗
11. Huang CS, Leissa AW (2007) Three-dimensional sharp corner displacement functions for bodies of revolution. J Appl Mech 74: 41–46. doi: 10.1115/1.217835810.1115/1.2178358 ↗
12. Huang CS, Leissa AW (2008) Stress singularities in bimaterial bodies of revolution. Compos Struct 82: 488–498. doi: 10.1016/j.compstruct.2007.01.02610.1016/j.compstruct.2007.01.026 ↗
13. Keer LM, Parihar KS (1978) Elastic stress singularity at conical inclusions. Int J Solids Struct 14: 261–263. doi: 10.1016/0020-7683(78)90036-710.1016/0020-7683(78)90036-7 ↗
14. Labossiere PEW, Dunn ML (1999) Stress intensities at interface corners in anisotropic bimaterials. Eng Fract Mech 62: 555–575. doi: 10.1016/S0013-7944(99)00005-310.1016/S0013-7944(99)00005-3 ↗
15. Lin YY, Sung JC (1998) Stress singularities at the apex of a dissimilar anisotropic wedge. J Appl Mech 65: 454–463. doi: 10.1115/1.278907510.1115/1.2789075 ↗
16. Liu YH, Xu JQ, Ding HJ (1999) Order of singularity and singular stress field about an axisymmetric interface corner in three-dimensional isotropic elasticity. Int J Solids Struct 36: 4425–4445. doi: 10.1016/S0020-7683(98)00200-510.1016/S0020-7683(98)00200-5 ↗
17. Liu Y, Wu Z, Liang Y, Liu X (2008) Numerical methods for determination of stress intensity factors of singular stress field. Eng Fract Mech 75: 4793–4803. doi: 10.1016/j.engfracmech.2008.06.00710.1016/j.engfracmech.2008.06.007 ↗
18. Munz D, Yang YY (1992) Stress singularities at the interface in bonded dissimilar materials under mechanical and thermal loadings. J Appl Mech 59: 857–861. doi: 10.1115/1.289405310.1115/1.2894053 ↗
19. Munz D, Yang YY (1993) Stresses near the edge of bonded dissimilar materials described by two stress intensity factors. Int J Fract 60: 169–177. doi: 10.1007/BF0001244410.1007/BF00012444 ↗
20. Shin KC, Liu H, Lee JJ, Choi ST (2004) Interfacial crack tip field in anisotropic/isotropic bimaterials. Compos Struct 66: 673–676. doi: 10.1016/j.compstruct.2004.06.00310.1016/j.compstruct.2004.06.003 ↗
21. Shin KC, Kim WS, Lee JJ (2007) Application of stress intensity to design of anisotropic/isotropic bi-materials with a wedge. Int J Solids Struct 44: 7748–7766. doi: 10.1016/j.ijsolstr.2007.05.01410.1016/j.ijsolstr.2007.05.014 ↗
22. Somaratna N, Ting TCT (1986) Three-dimensional stress singularities at conical notches and inclusions in transversely isotropic materials. J Appl Mech 53: 89–9610.1115/1.3171744 ↗
23. Theocaris PS (1974) The order of singularity at a multi-wedge corner of a composite plate. Int J Eng Sci 12: 107–120. doi: 10.1016/0020-7225(74)90011-110.1016/0020-7225(74)90011-1 ↗
24. Ting TCT (1986) Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. Int J Solids Struct 22: 965–983. doi: 10.1016/0020-7683(86)90031-410.1016/0020-7683(86)90031-4 ↗
25. Wang XG (2005) A boundary value method for the singular behavior of bimaterial systems under inplane loading. Int J Solids Struct 42: 5513–5535. doi: 10.1016/j.ijsolstr.2005.02.03910.1016/j.ijsolstr.2005.02.039 ↗
26. Wu Z, Liu Y (2008) Analytical solution for the singular stress distribution due to V-notch in an orthotropic plate material. Eng Fract Mech 75: 2367–2384. doi: 10.1016/j.engfracmech.2007.09.00110.1016/j.engfracmech.2007.09.001 ↗
27. Yang YY, Munz D (1997) Stress singularities in a dissimilar materials joint with edge tractions under mechanical and thermal loadings. Int J Solids Struct 34(10): 1199–1216. doi: 10.1016/S0020-7683(96)00097-210.1016/S0020-7683(96)00097-2 ↗