Computing edge singularities in elastic anisotropic three-dimensional domains
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OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Ultrasonics and Acoustic Wave Propagation
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References (26)
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1. Anderson, E., Bai, Z., Bischof, C., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A., Ostrouchov, S. and Sorensen, D. (1994). LAPACK Users' Guide — Release 2.0. SIAM.
2. Andersson, B., Falk, U., Babuška, I. and Von-Petersdorff, T. (1995). Reliable stress and fracture mechanics analysis of complex components using a h-p version of FEM. International Journal for Numerical Methods in Engineering 38, 2135–2163.10.1002/nme.1620381302 ↗
3. Babuška, I. and Aziz, A.K. (1972). Survey lectures on the mathematical foundations of the finite element method. The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (Edited by A.K. Aziz), Academic Press, New York, NY, USA, 3–343.10.1016/B978-0-12-068650-6.50006-X ↗
4. Barsoum, R. (1988). Theoretical basis of the finite element iterative method for the eigenvalue problem in stationary cracks. International Journal for Numerical Methods in Engineering 26, 531–539.10.1002/nme.1620260302 ↗
5. Bogy, D.B. and Wang, K.C. (1971). Stress singularities at interface corners in bonded dissimilar isotropic elastic materials. International Journal of Solids and Structures 7, 993–1005.10.1016/0020-7683(71)90077-1 ↗
6. Costabel, M. and Dauge, M. (1995). Computation of corner singularities in linear elasticity. Boundary Value Problems and Integral Equations in Nonsmooth Domains (Edited by M. Costabel, M. Dauge and S. Nicaise), Marcel Dekker, New York, Basel, Hong-Kong, 59–68.
7. Dauge, M. (1988). Elliptic Boundary Value Problems in Corner Domains — Smoothness and Asymptotics of Solutions. Lecture notes in Mathematics 1341, Springer-Verlag, Heidelberg.10.1007/BFb0086682 ↗
8. Dempsey, J.P. and Sinclair, G.B. (1979). On the stress singularities in the plane elasticity of the composite edge. Journal of Elasticity 9(4), 373–391.10.1007/BF00044615 ↗
9. Dempsey, J.P. and Sinclair, G.B. (1981). On the singular behavior at the vertex of a bi-material wedge. Journal of Elasticity 11, 317–327.10.1007/BF00041942 ↗
10. Grisvard, P. (1992). Singularities in Boundary Value Problems, Masson, France.
11. Gu, L. and Belytschko, T. (1994). A numerical study of stress singularities in a two-material wedge. International Journal of Solids and Structures 31(6), 865–889.10.1016/0020-7683(94)90083-3 ↗
12. Hein, V.L. and Erdogan, F. (1971). Stress singularities in a two-material wedge. International Journal of Fracture 7(3), 317–330.10.1007/BF00184307 ↗
13. Leguillon, D. and Sanchez-Palencia, E. (1987). Computation of Singular Solutions in Elliptic Problems and Elasticity, John Wiley & Sons, New York, NY.
14. Pageau, S.S. and Jr. Biggers, S.B. (1996). A finite element approach to three dimensional singular stress states in anisotropic multi-material wedges and junctions. International Journal of Solids and Structures 33, 33–47.10.1016/0020-7683(95)00023-4 ↗
15. Pageau, S.S., Joseph, P.F. and Jr. Biggers, S.B. (1995). Finite element analysis of anisotropic materials with singular inplane stress fields. International Journal of Solids and Structures 32(5), 571–591.10.1016/0020-7683(94)00152-M ↗
16. Papadakis, P. and Babuška, I. (1995). A numerical procedure for the determination of certain quantities related to stress intensity factors in two-dimensional elasticity. Computer Methods in Applied Mechanics and Engineering 122, 69–92.10.1016/0045-7825(94)00748-C ↗
17. Szabó, B.A. and Babuška, I. (1991). Finite Element Analysis, John Wiley & Sons, New York.
18. Szabó, B.A. and Yosibash, Z. (1996). Numerical analysis of singularities in two-dimensions. Part 2: Computation of the generalized flux/stress intensity factors. International Journal for Numerical Methods in Engineering 39(3), 409–434.10.1002/(SICI)1097-0207(19960215)39:3<409::AID-NME861>3.0.CO;2-P ↗
19. Ting, T.C.T. (1986). Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. International Journal of Solids and Structures 22(9), 965–983.10.1016/0020-7683(86)90031-4 ↗
20. Ting, T.C.T. and Chou, S.C. (1981). Edge singularities in anisotropic composites. International Journal of Solids and Structures 17(11), 1057–1068.10.1016/0020-7683(81)90013-5 ↗
21. Wang, S.S. and Choi, I. (1982). Boundary layer effects in composite laminates: Part 1 — free edge stress singularities. Transaction ASME, Journal of Applied Mechanics 49, 541–548.10.1115/1.3162514 ↗
22. Williams, M.L. (1952). Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Transaction ASME, Journal of Applied Mechanics 19, 526–528.10.1115/1.4010553 ↗
23. Ying, X. (1986). A Reliable Root Solver for Automatic Computation with Application to Stress Analysis of a Composite Plane Wedge, PhD thesis, Washington University, St. Louis, Missouri, USA.
24. Yosibash, Z. (1997a). On solutions of two-dimensional linear elastostatic and heat-transfer problems in the vicinity of singular points. International Journal of Solids and Structures 34(2), 243–274.10.1016/S0020-7683(96)00006-6 ↗
25. Yosibash, Z. (1997b). Numerical analysis of edge singularities in three-dimensional elasticity. International Journal for Numerical Methods in Engineering (in press).10.1002/(SICI)1097-0207(19971230)40:24<4611::AID-NME276>3.3.CO;2-G ↗
26. Yosibash, Z. and Szabó, B.A. (1995). Numerical analysis of singularities in two-dimensions. Part 1: Computation of eigen-pairs. International Journal for Numerical Methods in Engineering 38(12), 2055–2082.10.1002/nme.1620381207 ↗