-
1
-
-
0000249956
-
The numerical evaluation of principal value integrals by finite-part integration
-
Kutt H.R. The numerical evaluation of principal value integrals by finite-part integration. Numer. Math. 24:1975;205-210.
-
(1975)
Numer. Math.
, vol.24
, pp. 205-210
-
-
Kutt, H.R.1
-
2
-
-
34250232716
-
Integral equations with non-integrable kernels
-
Nedelec J.C. Integral equations with non-integrable kernels. Integr. Equat. Oper. Theory. 5(4):1982;562-572.
-
(1982)
Integr. Equat. Oper. Theory
, vol.5
, Issue.4
, pp. 562-572
-
-
Nedelec, J.C.1
-
3
-
-
0001863547
-
On the solution of integral equations with strongly singular kernels
-
Kaya A.C., Erdogan F. On the solution of integral equations with strongly singular kernels. Quart. Appl. Math. 45(1):1987;105-122.
-
(1987)
Quart. Appl. Math.
, vol.45
, Issue.1
, pp. 105-122
-
-
Kaya, A.C.1
Erdogan, F.2
-
4
-
-
0000216665
-
On boundary integral equations for crack problems
-
Martin P.A., Rizzo F.J. On boundary integral equations for crack problems. Proc. R. Soc. Lond. A. 421(1861):1989;341-355.
-
(1989)
Proc. R. Soc. Lond. A
, vol.421
, Issue.1861
, pp. 341-355
-
-
Martin, P.A.1
Rizzo, F.J.2
-
5
-
-
0028422932
-
Numerical evaluation of hypersingular integrals
-
Monegato G. Numerical evaluation of hypersingular integrals. J. Comput. Appl. Math. 50:1994;9-31.
-
(1994)
J. Comput. Appl. Math.
, vol.50
, pp. 9-31
-
-
Monegato, G.1
-
6
-
-
0000830579
-
Hadamard's finite part concept in dimension, n≥2 distributional, definition regularization forms and distributional derivatives
-
Sellier A. Hadamard's finite part concept in dimension, n≥2 distributional, definition regularization forms and distributional derivatives Proc. R. Soc. Lond. A. 445(1923):1994;69-98.
-
(1994)
Proc. R. Soc. Lond. A
, vol.445
, Issue.1923
, pp. 69-98
-
-
Sellier, A.1
-
7
-
-
0001440823
-
Asymptotic expansion of a general integral
-
Sellier A. Asymptotic expansion of a general integral. Proc. R. Soc. Lond. A. 452(1955):1996;2655-2690.
-
(1996)
Proc. R. Soc. Lond. A
, vol.452
, Issue.1955
, pp. 2655-2690
-
-
Sellier, A.1
-
8
-
-
0001762351
-
Singularities, interfaces and cracks in dissimilar anisotropic media
-
Suo Z. Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R. Soc. Lond. A. 427:1990;331-358.
-
(1990)
Proc. R. Soc. Lond. A
, vol.427
, pp. 331-358
-
-
Suo, Z.1
-
9
-
-
0027780598
-
Antiplane shear crack problem in bonded materials with a graded interfacial zone
-
Ozturk M., Erdogan F. Antiplane shear crack problem in bonded materials with a graded interfacial zone. Int. J. Eng. Sci. 31(12):1993;1641-1657.
-
(1993)
Int. J. Eng. Sci.
, vol.31
, Issue.12
, pp. 1641-1657
-
-
Ozturk, M.1
Erdogan, F.2
-
10
-
-
0028400406
-
The mixed mode crack problem in a nonhomogeneous elastic medium
-
Konda N., Erdogan F. The mixed mode crack problem in a nonhomogeneous elastic medium. Eng. Fract. Mech. 47(4):1994;533-545.
-
(1994)
Eng. Fract. Mech.
, vol.47
, Issue.4
, pp. 533-545
-
-
Konda, N.1
Erdogan, F.2
-
12
-
-
0000013750
-
End-point behaviour of solutions to hypersingular integral equations
-
Martin P.A. End-point behaviour of solutions to hypersingular integral equations. Proc. R. Soc. Lond. A. 432(1885):1991;301-320.
-
(1991)
Proc. R. Soc. Lond. A
, vol.432
, Issue.1885
, pp. 301-320
-
-
Martin, P.A.1
-
13
-
-
0032190446
-
Periodic cracking of elastic coatings
-
Schulze G.W., Erdogan F. Periodic cracking of elastic coatings. Int. J. Solids Struct. 35(28-29):1998;3615-3634.
-
(1998)
Int. J. Solids Struct.
, vol.35
, Issue.28-29
, pp. 3615-3634
-
-
Schulze, G.W.1
Erdogan, F.2
-
14
-
-
0001517652
-
Numerical solution of singular integral equations
-
Sih G.C. Leyden, The Netherlands: Noordhoff International Publishing
-
Erdogan F., Gupta G.D., Cook T.S. Numerical solution of singular integral equations. Sih G.C. Mechanics of Fracture. vol. 1:1973;368-425 Noordhoff International Publishing, Leyden, The Netherlands.
-
(1973)
Mechanics of Fracture
, vol.1
, pp. 368-425
-
-
Erdogan, F.1
Gupta, G.D.2
Cook, T.S.3
-
15
-
-
0028165301
-
Mode II and mode III stress singularities and intensities at a crack tip terminating on a transversely isotropic-orthotropic bimaterial interface
-
Wang J., Karihaloo B.L. Mode II and mode III stress singularities and intensities at a crack tip terminating on a transversely isotropic-orthotropic bimaterial interface. Proc. R. Soc. Lond. A. 444(1922):1994;447-460.
-
(1994)
Proc. R. Soc. Lond. A
, vol.444
, Issue.1922
, pp. 447-460
-
-
Wang, J.1
Karihaloo, B.L.2
-
16
-
-
0001221556
-
On the contribution of subinterface microcracks near the tip of an interface macrocrack to the J-integral in bimaterial solids
-
Zhao L.-G., Chen Y.-H. On the contribution of subinterface microcracks near the tip of an interface macrocrack to the J-integral in bimaterial solids. Int. J. Eng. Sci. 35(4):1997;387-407.
-
(1997)
Int. J. Eng. Sci.
, vol.35
, Issue.4
, pp. 387-407
-
-
Zhao, L.-G.1
Chen, Y.-H.2
-
17
-
-
0020816016
-
The crack problem for a nonhomogeneous plane
-
Delale F., Erdogan F. The crack problem for a nonhomogeneous plane. J. Appl. Mech. Trans. ASME. 50(3):1983;609-614.
-
(1983)
J. Appl. Mech. Trans. ASME
, vol.50
, Issue.3
, pp. 609-614
-
-
Delale, F.1
Erdogan, F.2
-
18
-
-
84975982959
-
The crack problem for bonded nonhomogeneous materials under antiplane shear loading
-
Erdogan F. The crack problem for bonded nonhomogeneous materials under antiplane shear loading. J. Appl. Mech. Trans. ASME. 52(4):1985;823-828.
-
(1985)
J. Appl. Mech. Trans. ASME
, vol.52
, Issue.4
, pp. 823-828
-
-
Erdogan, F.1
-
19
-
-
0028496530
-
Crack-tip singular fields in nonhomogeneous materials
-
Jin Z.-H., Noda N. Crack-tip singular fields in nonhomogeneous materials. J. Appl. Mech. Trans. ASME. 61(3):1994;738-740.
-
(1994)
J. Appl. Mech. Trans. ASME
, vol.61
, Issue.3
, pp. 738-740
-
-
Jin, Z.-H.1
Noda, N.2
-
20
-
-
0000391024
-
Interface cracking between functionally graded coatings and a substrate under antiplane shear
-
Jin Z.-H., Batra R.C. Interface cracking between functionally graded coatings and a substrate under antiplane shear. Int. J. Eng. Sci. 34(15):1996;1705-1716.
-
(1996)
Int. J. Eng. Sci.
, vol.34
, Issue.15
, pp. 1705-1716
-
-
Jin, Z.-H.1
Batra, R.C.2
-
21
-
-
0000358097
-
A note on antiplane deformations of inhomogeneous elastic materials
-
Clements D.L., Kusuma J., Ang W.T. A note on antiplane deformations of inhomogeneous elastic materials. Int. J. Eng. Sci. 35(6):1997;593-601.
-
(1997)
Int. J. Eng. Sci.
, vol.35
, Issue.6
, pp. 593-601
-
-
Clements, D.L.1
Kusuma, J.2
Ang, W.T.3
-
22
-
-
0031187188
-
Mode I crack problem in an inhomogeneous orthotropic medium
-
Ozturk M., Erdogan F. Mode I crack problem in an inhomogeneous orthotropic medium. Int. J. Eng. Sci. 35(9):1997;869-883.
-
(1997)
Int. J. Eng. Sci.
, vol.35
, Issue.9
, pp. 869-883
-
-
Ozturk, M.1
Erdogan, F.2
-
23
-
-
0000977091
-
Viscoelastic functionally graded materials subjected to antiplane shear fracture
-
Paulino G.H., Jin Z.-H. Viscoelastic functionally graded materials subjected to antiplane shear fracture. J. Appl. Mech. Trans. ASME. 68(2):2001;284-293.
-
(2001)
J. Appl. Mech. Trans. ASME
, vol.68
, Issue.2
, pp. 284-293
-
-
Paulino, G.H.1
Jin, Z.-H.2
-
24
-
-
0032631352
-
Thermal stresses in functionally gradient materials
-
Noda N. Thermal stresses in functionally gradient materials. J. Therm. Stress. 22:1999;477-512.
-
(1999)
J. Therm. Stress.
, vol.22
, pp. 477-512
-
-
Noda, N.1
-
25
-
-
0027148462
-
Thermal stress intensity factors for a crack in a strip of a functionally gradient material
-
Noda N., Jin Z.-H. Thermal stress intensity factors for a crack in a strip of a functionally gradient material. Int. J. Solids Struct. 30(8):1993;1039-1056.
-
(1993)
Int. J. Solids Struct.
, vol.30
, Issue.8
, pp. 1039-1056
-
-
Noda, N.1
Jin, Z.-H.2
-
26
-
-
0030171889
-
Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock
-
Jin Z.-H., Batra R.C. Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock. J. Therm. Stress. 19:1996;317-339.
-
(1996)
J. Therm. Stress.
, vol.19
, pp. 317-339
-
-
Jin, Z.-H.1
Batra, R.C.2
-
27
-
-
0035136151
-
Transient thermal stress analysis of an edge crack in a functionally graded material
-
Jin Z.-H., Paulino G.H. Transient thermal stress analysis of an edge crack in a functionally graded material. Int. J. Fract. 107(1):2001;73-98.
-
(2001)
Int. J. Fract.
, vol.107
, Issue.1
, pp. 73-98
-
-
Jin, Z.-H.1
Paulino, G.H.2
-
28
-
-
0000737868
-
On the use of interpolation polynomial for solutions of singular integral equations
-
Krenk S. On the use of interpolation polynomial for solutions of singular integral equations. Quart. Appl. Math. 32(4):1975;479-484.
-
(1975)
Quart. Appl. Math.
, vol.32
, Issue.4
, pp. 479-484
-
-
Krenk, S.1
-
29
-
-
0017478809
-
Numerical integration methods for the solution of singular integral equations
-
Theocaris P.S., Ioakimidis N.I. Numerical integration methods for the solution of singular integral equations. Quart. Appl. Math. 35:1977;173-183.
-
(1977)
Quart. Appl. Math.
, vol.35
, pp. 173-183
-
-
Theocaris, P.S.1
Ioakimidis, N.I.2
-
30
-
-
0030415425
-
Mapping flat cracks onto penny-shaped cracks with application to somewhat circular tensile cracks
-
Martin P.A. Mapping flat cracks onto penny-shaped cracks with application to somewhat circular tensile cracks. Quart. Appl. Math. 54(4):1996;663-675.
-
(1996)
Quart. Appl. Math.
, vol.54
, Issue.4
, pp. 663-675
-
-
Martin, P.A.1
-
31
-
-
0032165596
-
Gauss-Chebyshev quadrature formulae for strongly singular integrals
-
Korsunsky A. Gauss-Chebyshev quadrature formulae for strongly singular integrals. Quart. Appl. Math. 56(3):1998;461-472.
-
(1998)
Quart. Appl. Math.
, vol.56
, Issue.3
, pp. 461-472
-
-
Korsunsky, A.1
-
32
-
-
0032803628
-
Evaluations of hypersingular integrals using Gaussian quadrature
-
Hui C.-Y., Shia D. Evaluations of hypersingular integrals using Gaussian quadrature. Int. J. Numer. Meth. Eng. 44(2):1999;205-214.
-
(1999)
Int. J. Numer. Meth. Eng.
, vol.44
, Issue.2
, pp. 205-214
-
-
Hui, C.-Y.1
Shia, D.2
-
34
-
-
0000135169
-
Regularization techniques applied to boundary element methods
-
Tanaka M., Sladek V., Sladek J. Regularization techniques applied to boundary element methods. Appl. Mech. Rev. 47(10):1994;457-499.
-
(1994)
Appl. Mech. Rev.
, vol.47
, Issue.10
, pp. 457-499
-
-
Tanaka, M.1
Sladek, V.2
Sladek, J.3
-
35
-
-
0032070399
-
Singular integrals and boundary elements
-
Sladek V., Sladek J. Singular integrals and boundary elements. Comput. Meth. Appl. Mech. Eng. 157(3-4):1996;251-266.
-
(1996)
Comput. Meth. Appl. Mech. Eng.
, vol.157
, Issue.3-4
, pp. 251-266
-
-
Sladek, V.1
Sladek, J.2
-
36
-
-
0027641296
-
Hypersingular boundary integral equations for radiation and scattering of elastic waves in three dimensions
-
Liu Y.J., Rizzo F.J. Hypersingular boundary integral equations for radiation and scattering of elastic waves in three dimensions. Comput. Meth. Appl. Mech. Eng. 107(1-2):1993;131-144.
-
(1993)
Comput. Meth. Appl. Mech. Eng.
, vol.107
, Issue.1-2
, pp. 131-144
-
-
Liu, Y.J.1
Rizzo, F.J.2
-
37
-
-
0028494767
-
Hypersingular and finite part integrals in the boundary element method
-
Toh K.-C., Mukherjee S. Hypersingular and finite part integrals in the boundary element method. Int. J. Solids Struct. 31(17):1994;2299-2312.
-
(1994)
Int. J. Solids Struct.
, vol.31
, Issue.17
, pp. 2299-2312
-
-
Toh, K.-C.1
Mukherjee, S.2
-
38
-
-
0030165729
-
Hypersingular residuals - A new approach for error estimation in the boundary element method
-
Paulino G.H., Gray L.J., Zarikian V. Hypersingular residuals - A new approach for error estimation in the boundary element method. Int. J. Numer. Meth. Eng. 39(12):1996;2005-2029.
-
(1996)
Int. J. Numer. Meth. Eng.
, vol.39
, Issue.12
, pp. 2005-2029
-
-
Paulino, G.H.1
Gray, L.J.2
Zarikian, V.3
-
39
-
-
0030736751
-
Evaluation of hypersingular integrals in the boundary element method by complex variable techniques
-
Hui C.-Y., Mukherjee S. Evaluation of hypersingular integrals in the boundary element method by complex variable techniques. Int. J. Solids Struct. 34(2):1997;203-221.
-
(1997)
Int. J. Solids Struct.
, vol.34
, Issue.2
, pp. 203-221
-
-
Hui, C.-Y.1
Mukherjee, S.2
-
40
-
-
0003378396
-
Orthogonal polynomials
-
M. Abramowitz, & I.A. Stegun. New York: Dover Publications Inc. (Chapter 22)
-
Hochstrasser U.W. Orthogonal polynomials. Abramowitz M., Stegun I.A. Handbook of Mathematical Functions. 1972;771-802 Dover Publications Inc. New York. (Chapter 22).
-
(1972)
Handbook of Mathematical Functions
, pp. 771-802
-
-
Hochstrasser, U.W.1
-
41
-
-
0016566094
-
On quadrature formulas for singular integral equations of the first and second kind
-
Krenk S. On quadrature formulas for singular integral equations of the first and second kind. Quart. Appl. Math. 33(3):1975;225-232.
-
(1975)
Quart. Appl. Math.
, vol.33
, Issue.3
, pp. 225-232
-
-
Krenk, S.1
-
42
-
-
0004026391
-
-
Groningen, The Netherlands: Noordhoff International Publishing
-
Muskhelishvili N.I. Singular Integral Equations. 1953;Noordhoff International Publishing, Groningen, The Netherlands.
-
(1953)
Singular Integral Equations
-
-
Muskhelishvili, N.I.1
-
44
-
-
0018047560
-
Mixed boundary value problems in mechanics
-
Nemat-Nasser S. New York: Pergamon Press Inc.
-
Erdogan F. Mixed boundary value problems in mechanics. Nemat-Nasser S. Mechanics Today. vol. 4:1978;1-86 Pergamon Press Inc. New York.
-
(1978)
Mechanics Today
, vol.4
, pp. 1-86
-
-
Erdogan, F.1
-
45
-
-
0028977288
-
On the dynamic interaction between a microdefect and a main crack
-
Meguid S.A., Wang X.D. On the dynamic interaction between a microdefect and a main crack. Proc. R. Soc. Lond. A. 448(1934):1995;449-464.
-
(1995)
Proc. R. Soc. Lond. A
, vol.448
, Issue.1934
, pp. 449-464
-
-
Meguid, S.A.1
Wang, X.D.2
-
46
-
-
0026930786
-
Diffusion problems in bonded nonhomogeneous materials with an interface cut
-
Erdogan F., Ozturk M. Diffusion problems in bonded nonhomogeneous materials with an interface cut. Int. J. Eng. Sci. 30(10):1992;1507-1523.
-
(1992)
Int. J. Eng. Sci.
, vol.30
, Issue.10
, pp. 1507-1523
-
-
Erdogan, F.1
Ozturk, M.2
-
48
-
-
0035819846
-
The crack problem for nonhomogeneous materials under antiplane shear loading - A displacement based formulation
-
Chan Y.-S., Paulino G.H., Fannjiang A.C. The crack problem for nonhomogeneous materials under antiplane shear loading - A displacement based formulation. Int. J. Solids Struct. 38(17):2001;2989-3005.
-
(2001)
Int. J. Solids Struct.
, vol.38
, Issue.17
, pp. 2989-3005
-
-
Chan, Y.-S.1
Paulino, G.H.2
Fannjiang, A.C.3
-
50
-
-
0032691398
-
Gradient elasticity theory for a mode III crack in a functionally graded material
-
Paulino G.H., Fannjiang A.C., Chan Y.-S. Gradient elasticity theory for a mode III crack in a functionally graded material. Mater. Sci. Forum. 308-311:1999;971-976.
-
(1999)
Mater. Sci. Forum
, vol.308-311
, pp. 971-976
-
-
Paulino, G.H.1
Fannjiang, A.C.2
Chan, Y.-S.3
-
51
-
-
0032002438
-
Numerical solution of integral equations with logarithmic-, Cauchy- and Hadamard-type singularities
-
Kabir H., Madenci E., Ortega A. Numerical solution of integral equations with logarithmic-, Cauchy- and Hadamard-type singularities. Int. J. Numer. Meth. Eng. 41(4):1998;617-638.
-
(1998)
Int. J. Numer. Meth. Eng.
, vol.41
, Issue.4
, pp. 617-638
-
-
Kabir, H.1
Madenci, E.2
Ortega, A.3
-
52
-
-
0027271743
-
A finite elastic body with a curved crack loaded in anti-plane shear
-
Paulino G.H., Saif M.T.A., Mukherjee S. A finite elastic body with a curved crack loaded in anti-plane shear. Int. J. Solids Struct. 30(8):1993;1015-1037.
-
(1993)
Int. J. Solids Struct.
, vol.30
, Issue.8
, pp. 1015-1037
-
-
Paulino, G.H.1
Saif, M.T.A.2
Mukherjee, S.3
-
53
-
-
0036302212
-
Strain gradient elasticity for mode III cracks A hypersingular integrodifferential equation approach
-
Fannjiang A.C., Chan Y.-S., Paulino G.H. Strain gradient elasticity for mode III cracks A hypersingular integrodifferential equation approach. SIAM J. Appl. Math. 62(3):2002;1066-1091.
-
(2002)
SIAM J. Appl. Math.
, vol.62
, Issue.3
, pp. 1066-1091
-
-
Fannjiang, A.C.1
Chan, Y.-S.2
Paulino, G.H.3
-
54
-
-
0030414078
-
Gradient elasticity with surface energy: Mode-III crack problem
-
Vardoulakis I., Exadaktylos G., Aifantis E. Gradient elasticity with surface energy: Mode-III crack problem. Int. J. Solids Struct. 33(30):1996;4531-4559.
-
(1996)
Int. J. Solids Struct.
, vol.33
, Issue.30
, pp. 4531-4559
-
-
Vardoulakis, I.1
Exadaktylos, G.2
Aifantis, E.3
-
55
-
-
0001553511
-
Cracks in gradient elastic bodies with surface energy
-
Exadaktylos G., Vardoulakis I., Aifantis E. Cracks in gradient elastic bodies with surface energy. Int. J. Fract. 79(2):1996;107-119.
-
(1996)
Int. J. Fract.
, vol.79
, Issue.2
, pp. 107-119
-
-
Exadaktylos, G.1
Vardoulakis, I.2
Aifantis, E.3
-
56
-
-
0009107948
-
The mode III full-field solution in elastic materials with strain gradient effects
-
Zhang L., Huang Y., Chen J.Y., Hwang K.C. The mode III full-field solution in elastic materials with strain gradient effects. Int. J. Fract. 92(4):1998;325-348.
-
(1998)
Int. J. Fract.
, vol.92
, Issue.4
, pp. 325-348
-
-
Zhang, L.1
Huang, Y.2
Chen, J.Y.3
Hwang, K.C.4
-
57
-
-
0034559454
-
Fracture in a higher-order elastic continuum
-
Shi M.X., Huang Y., Hwang K.C. Fracture in a higher-order elastic continuum. J. Mech. Phys. Solids. 48(12):2000;2513-2538.
-
(2000)
J. Mech. Phys. Solids
, vol.48
, Issue.12
, pp. 2513-2538
-
-
Shi, M.X.1
Huang, Y.2
Hwang, K.C.3
-
58
-
-
77956668935
-
Strain gradient plasticity
-
J.W. Hutchinson, Wu T.Y. New York, NY: Academic Press
-
Fleck N.A., Hutchinson J.W. Strain gradient plasticity. Hutchinson J.W., Wu T.Y. Advances in Applied Mechanics. vol. 33:1997;295-361 Academic Press, New York, NY.
-
(1997)
Advances in Applied Mechanics
, vol.33
, pp. 295-361
-
-
Fleck, N.A.1
Hutchinson, J.W.2
-
59
-
-
0040366845
-
Micro-structure in linear elasticity
-
Mindlin R.D. Micro-structure in linear elasticity. Arch. Ration. Mech. Anal. 16:1964;51-78.
-
(1964)
Arch. Ration. Mech. Anal.
, vol.16
, pp. 51-78
-
-
Mindlin, R.D.1
-
60
-
-
0000095439
-
Second gradient of strain and surface-tension in linear elasticity
-
Mindlin R.D. Second gradient of strain and surface-tension in linear elasticity. Int. J. Solids Struct. 1:1965;417-438.
-
(1965)
Int. J. Solids Struct.
, vol.1
, pp. 417-438
-
-
Mindlin, R.D.1
-
62
-
-
0032158229
-
A microbend test method for the plasticity length scale
-
Stolken J.S., Evans A.G. A microbend test method for the plasticity length scale. Acta Mater. 46:1998;5109-5115.
-
(1998)
Acta Mater.
, vol.46
, pp. 5109-5115
-
-
Stolken, J.S.1
Evans, A.G.2
-
63
-
-
0041760448
-
Elastic and plastic properties of thin films on substrates: Nanoindentation techniques
-
Nix W.D. Elastic and plastic properties of thin films on substrates: nanoindentation techniques. Mater. Sci. Engr. A. 234/236:1997;37-44.
-
(1997)
Mater. Sci. Engr. A
, vol.234-236
, pp. 37-44
-
-
Nix, W.D.1
|