@article{M2AN_1999__33_4_853_0,
author = {Bochniak, Marius and S\"andig, Anna-Margarete},
title = {Computation of generalized stress intensity factors for bonded elastic structures},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {33},
year = {1999},
pages = {853-878},
mrnumber = {1726489},
zbl = {0961.74027},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1999__33_4_853_0}
}
Bochniak, Marius; Sändig, Anna-Margarete. Computation of generalized stress intensity factors for bonded elastic structures. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999) pp. 853-878. http://gdmltest.u-ga.fr/item/M2AN_1999__33_4_853_0/
[1] and , The post-processing approach in the finite element method, Part 2: The calculation of stress intensity factors. Internat. J. Numer. Methods Engrg. 20 (1984) 1111-1129. | Zbl 0535.73053
[2] , and , Numerical treatment of vertex singularities and intensity factors for mixed boundary value problems for the Laplace equation in R3. SIAM J. Numer. Anal. 31 (1994) 1265-1288. | MR 1293515 | Zbl 0806.65107
[3] , , and , Coefficients of the singularities for elliptic boundary value problems on domains with conical points III: Finite element methods on polygonal domains. SIAM J. Numer. Anal. 29 (1992) 136-155. | MR 1149089 | Zbl 0794.35015
[4] , A novel principle for the computation of stress intensity factors. ZAMM 50 (1970) 529-546. | MR 272239 | Zbl 0213.26603
[5] , Weight functions and fundamental fields for the penny-shaped and the half-plane crack in three-space. Internat. J. Solids and Structures 23 (1987) 57-93. | Zbl 0601.73102
[6] and , General edge asymptotics of solutions of second-order elliptic boundary value problems I, II. Proc. Roy. Soc. Edinburgh A 123 (1993) 109-155, 157-184. | MR 1204855 | Zbl 0791.35033
[7] and , Computation of corner singularities in linear elasticity, in Boundary Value Problems and Integral Equations in Nonsmooth Domains, M. Costabel, M. Dauge, S. Nicaise Eds., Marcel Dekker Inc. (1995). | MR 1301341 | Zbl 0822.35040
[8] , Numerical Approximation of Elliptic Interface and Corner Problems. Habilitationsschrift, University of Bonn (1981).
[9] , and , Boundary integral operators and domain decomposition. Preprint 94-11, Mathematisches Institut A, Universität Stuttgart (1994).
[10] and , The Aubin-Nitsche Lemma for integral equations. J. Integral Equations 3 (1981) 299-315. | MR 634453 | Zbl 0478.45004
[11] and , Domain decomposition in boundary element methods, in Domain Decomposition Methods for Partial Differential Equations, R. Glowinski et al. Eds., SIAM (1991) 41-49. | MR 1106449 | Zbl 0766.65094
[12] , and , Delamination fracture criteria for composite laminates. J. Composite Mat. 29 (1995) 1962-1987.
[13] and , Advanced Fracture Mechanics. Oxford University Press, New York (1985). | Zbl 0587.73140
[14] and , The elastic-field behaviour in the neighbourhood of a crack of arbitrary angle. Comm. Pure Appl. Math. 15 (1962) 413-421. | MR 167026 | Zbl 0166.20705
[15] , Boundary problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc. 16 (1967) 209-292. | MR 226187 | Zbl 0194.13405
[16] and , Some Applications of Weighted Sobolev Spaces. Teubner, Leipzig (1987). | MR 926688 | Zbl 0662.46034
[17] , Méthode de calcul du coefficient de singularité pour la solution du problème de Laplace dans un domaine diédral. Math. Modell Numer. Anal. 27 (1993) 395-420. | Numdam | MR 1230828 | Zbl 0784.65079
[18] , and , Numerical techniques for determining stress intensity and higher order factors using the finite difference methods, in Computational Mechanics '95 Vol. 2, S.N. Atluri et al. Eds., Springer Verlag, Berlin (1995).
[19] and , On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points. Math. Nachr. 76 (1977) 29-60. | MR 601608 | Zbl 0359.35024
[20] and , Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten. Math. Nachr. 138 (1988) 27-53. | MR 975198 | Zbl 0672.35020
[21] , Derivation of the variational inequality for small increase of mode-one crack. Mech. Solids 24 (1989) 145-152.
[22] and , The Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary. Amer. Math. Soc. Transl. (2) 155 (1993) 169-206. | Zbl 0778.35033
[23] and , Elliptic Problems in Domains with Piecewise Smooth Boundaries. Walter de Gruyter, Berlin (1994). | MR 1283387 | Zbl 0806.35001
[24] and , General interface problems I, II. Math. Methods Appl. Sci. 17 (1994) 395-429, 431-450. | MR 1274152 | Zbl 0824.35015
[25] and , Transmission problems for the Laplace and elasticity operators: Regularity and boundary integral formulation. Math. Models Methods Appl. Sci. (to appear). | MR 1702865 | Zbl 0958.35023
[26] , Some remarks on elastic crack-tip stress fields. Internat. J. Solids and Structures 8 (1972) 751-758. | Zbl 0245.73083
[27] and , A power series solution of a harmonic mixed boundary value problem. MRC Technical Summary Report number 1405 (1975).
[28] and , Formulas for the coefficients in the asymptotics of solutions of boundary value problems for second order systems near edges. ZAMM 76 Suppl. 4 (1996) 181-184. | Zbl 0925.65117
[29] , and , Three-dimensional singularities of elastic fields near vertices. Numer. Methods Partial Differential Equations 9 (1993) 23-337. | MR 1216118 | Zbl 0771.73014
[30] and , The weight function theory for piecewise homogeneous isotropic notches in antiplane strain. J. Appl. Mech. 55 (1988) 596-603. | Zbl 0707.73055
[31] , Gebietszerlegungsmethoden mit Randintegralgleichungen und effiziente numerische Lösungsverfahren für gemischte Randwertprobleme. Dissertation, Universität Stuttgart (1996). | MR 1466967 | Zbl 0863.65079
[32] , On the realization of boundary element methods for mixed boundary value problems. Preprint 98/07, SFB 404, Universität Stuttgart (1998). | MR 1634286
[33] and , Domain decomposition and preconditioning techniques in boundary element methods, in Boundary Element Topics, W.L. Wendland Ed., Springer Verlag, Berlin (1997) 473-492. | MR 1655254 | Zbl 0884.65113
[34] and , Numerical analysis of singularities in two dimensions, Part 2: Computation of generalized flux/stress intensity factors. Internat. J. Numer. Methods Engrg. 39 (1996) 409-434. | MR 1369913 | Zbl 0855.73076
[35] , Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 19 (1952) 526-528.
[36] , The stresses around a fault or crack in dissimilar media. Bull. Seismol. Soc. Amer. 49 (1959) 199-204. | MR 102211
[37] , and , The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method. Comput. Methods Appl. Mech. Engrg. 26 (1981) 285-304. | MR 624326 | Zbl 0461.73066