Interface cracks in anisotropic elastic bimaterials—a decomposition principle
For a mismatched bimaterial with a single interface crack subject to a constant traction along the crack surface, the solution can be written explicitly, separated into oscillatory part and non-oscillatory part. The separation is shown to be related to the decomposition of the surface traction tr in...
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| Published in | International journal of solids and structures Vol. 29; no. 14-15; pp. 1989 - 2003 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
1992
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7683 1879-2146 |
| DOI | 10.1016/0020-7683(92)90189-Z |
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| Abstract | For a mismatched bimaterial with a single interface crack subject to a constant traction along the crack surface, the solution can be written explicitly, separated into oscillatory part and non-oscillatory part. The separation is shown to be related to the decomposition of the surface traction tr into two components t0π and 7π t0π is in the direction of the right null vector of the Ŝ matrix defined in the paper and t7π lies on the right eigenplane of Ŝ. The solution associated with t0π is non-oscillatory. It has the property that the traction along the interface is in the direction of the right null vector of Ŝ while the crack opening displacement is in the direction of the left null vector of Ŝ. The solution associated with t7π. on the other hand, is oscillatory. It has the property that the traction along the interface lies on the right eigenplane of Ŝ while the crack opening displacement lies on the left eigenplane of Ŝ. The same decomposition and properties hold for multiple interface cracks with variable tractions prescribed on the crack surfaces. |
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| AbstractList | For a mismatched bimaterial with a single interface crack subject to a constant traction along the crack surface, the solution can be written explicitly, separated into oscillatory part and non-oscillatory part. The separation is shown to be related to the decomposition of the surface traction tr into two components t0π and 7π t0π is in the direction of the right null vector of the Ŝ matrix defined in the paper and t7π lies on the right eigenplane of Ŝ. The solution associated with t0π is non-oscillatory. It has the property that the traction along the interface is in the direction of the right null vector of Ŝ while the crack opening displacement is in the direction of the left null vector of Ŝ. The solution associated with t7π. on the other hand, is oscillatory. It has the property that the traction along the interface lies on the right eigenplane of Ŝ while the crack opening displacement lies on the left eigenplane of Ŝ. The same decomposition and properties hold for multiple interface cracks with variable tractions prescribed on the crack surfaces. |
| Author | Ting, T.C.T. |
| Author_xml | – sequence: 1 givenname: T.C.T. surname: Ting fullname: Ting, T.C.T. organization: Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois at Chicago, Box 4348, Chicago, IL 60680, U.S.A |
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| Cites_doi | 10.1016/0020-7683(91)90134-2 10.1115/1.3625814 10.1016/0022-5096(89)90022-7 10.1115/1.3625813 10.1115/1.2897658 10.1007/BF00044617 10.1007/BF00041220 10.1115/1.3636517 10.1016/0001-6160(53)90099-6 10.1016/0165-2125(87)90004-7 10.1063/1.322665 10.1016/0022-5096(91)90033-K 10.1080/14786435808565804 10.1115/1.2897656 10.1002/sapm196241177 10.1115/1.3424148 10.1115/1.3125833 10.1103/PhysRev.184.942 10.1016/0022-5096(90)90011-R 10.1785/BSSA0490020199 10.1007/BF00182891 10.1557/JMR.1989.0124 10.1115/1.3166986 10.1016/S0022-5096(05)80018-3 10.1007/BF00042997 10.1016/0022-5096(71)90004-4 10.1016/0020-7225(71)90055-3 10.1115/1.3625816 10.1016/0022-5096(89)90023-9 10.1016/0020-7683(86)90031-4 10.1016/S0065-2156(08)70223-0 10.1090/qam/910450 10.1115/1.3424553 10.1090/qam/1162278 10.1090/qam/934686 |
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| Keywords | Anisotropic material Stratified material Solid solid interface Crack |
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| References | Clements (BIB7) 1971; 9 Hwu, C. (In press). Collinear cracks in anisotropic bodies. Lothe, Barnett (BIB22) 1976; 47 Ting (BIB36) 1990; 38 (Edited by J. J. Wu, T. C. T Ting and D. M. Barnetl). SIAM. Wu (BIB42) 1991; 27 Gotoh (BIB17) 1967; 3 Ting, T. C. T. (In press). The Stroh formalism and certain invariances in two-dimensional anisotropic elasticity In (Edited by J. J. Wu, T. C. T. Ting and D. M. Barnett). SIAM. Tewary, Wagoner, Hirth (BIB32) 1989; 4 Qu. J. and Li. Q. (In press). Interfacial dislocation and its application to interface crack in anisotropic bimaterials. Connnou, Sehmueser (BIB9) 1979; 46 Erdogan (BIB12) 1965; 32 Ni, L. and Nemat-Nasser, S. (In press). Interface cracks in anisotropic dissimilar materials: aeneral case. Stroh (BIB29) 1958; 3 Erdogan (BIB11) 1963; 30 Muskhelishvili (BIB23) 1953 Knowles, Sternberg (BIB21) 1983; 13 Willis (BIB40) 1971; 19 Gibbs (BIB16) 1961 England (BIB10) 1965; 32 Eshelby, Read, Shockley (BIB13) 1953; 1 Suo (BIB31) 1990; A427 Williams (BIB39) 1959; 49 Ting (BIB35) 1990 Wu, Hwang (BIB44) 1990; 57 Gautesen, Dundurs (BIB15) 1988; 55 Chadwick, Ting (BIB6) 1987; 45 Qu, Bassani (BIB26) 1989; 37 . Wang, Choi (BIB38) 1983; 50 Bassani, Qu (BIB3) 1989; 37 Boulangcr, Ph. and Hayes, M. (In press). Bivectors and inhomogeneous plane waves in anisotropic elastic bodies. In Stroh (BIB30) 1962; 41 Wu (BIB41) 1990; 57 Ting (BIB34) 1988; 46 Rice, Sih (BIB28) 1965; 32 Achenbach, Keer, Khetan, Chen (BIB1) 1979; 9 Gao, H., Abbudi, M. and Barnett, D. M. (In press). On interfacial crack-tip field in anisotropic elastic solids. (Edited by J. J. Wu, T. C. T. Ting and D. M. Barnelt). SIAM. Chadwiek, Smith (BIB5) 1977; 17 Comninou (BIB8) 1977; 44 Gundersen, Barnett, Lothe (BIB18) 1987; 9 Ting (BIB33) 1986; 22 Ingebrigtsen, Tonning (BIB20) 1969; 184 Ni, Nemat-Nasser (BIB24) 1991; 39 Barnett, Lothe (BIB2) 1973; 7 Wu, K. C. (In press). Explicit solutions for interface cracks in anisotropic bimaterials. In Bassani (10.1016/0020-7683(92)90189-Z_BIB3) 1989; 37 Gautesen (10.1016/0020-7683(92)90189-Z_BIB15) 1988; 55 Ni (10.1016/0020-7683(92)90189-Z_BIB24) 1991; 39 Ting (10.1016/0020-7683(92)90189-Z_BIB34) 1988; 46 Barnett (10.1016/0020-7683(92)90189-Z_BIB2) 1973; 7 England (10.1016/0020-7683(92)90189-Z_BIB10) 1965; 32 Gotoh (10.1016/0020-7683(92)90189-Z_BIB17) 1967; 3 Ting (10.1016/0020-7683(92)90189-Z_BIB33) 1986; 22 Wu (10.1016/0020-7683(92)90189-Z_BIB44) 1990; 57 Eshelby (10.1016/0020-7683(92)90189-Z_BIB13) 1953; 1 Lothe (10.1016/0020-7683(92)90189-Z_BIB22) 1976; 47 10.1016/0020-7683(92)90189-Z_BIB43 Erdogan (10.1016/0020-7683(92)90189-Z_BIB12) 1965; 32 Gibbs (10.1016/0020-7683(92)90189-Z_BIB16) 1961 Ting (10.1016/0020-7683(92)90189-Z_BIB36) 1990; 38 Wu (10.1016/0020-7683(92)90189-Z_BIB42) 1991; 27 Ting (10.1016/0020-7683(92)90189-Z_BIB35) 1990 10.1016/0020-7683(92)90189-Z_BIB25 Gundersen (10.1016/0020-7683(92)90189-Z_BIB18) 1987; 9 Erdogan (10.1016/0020-7683(92)90189-Z_BIB11) 1963; 30 10.1016/0020-7683(92)90189-Z_BIB27 Clements (10.1016/0020-7683(92)90189-Z_BIB7) 1971; 9 Tewary (10.1016/0020-7683(92)90189-Z_BIB32) 1989; 4 Qu (10.1016/0020-7683(92)90189-Z_BIB26) 1989; 37 10.1016/0020-7683(92)90189-Z_BIB4 Achenbach (10.1016/0020-7683(92)90189-Z_BIB1) 1979; 9 Chadwiek (10.1016/0020-7683(92)90189-Z_BIB5) 1977; 17 Stroh (10.1016/0020-7683(92)90189-Z_BIB29) 1958; 3 Ingebrigtsen (10.1016/0020-7683(92)90189-Z_BIB20) 1969; 184 Williams (10.1016/0020-7683(92)90189-Z_BIB39) 1959; 49 Rice (10.1016/0020-7683(92)90189-Z_BIB28) 1965; 32 Knowles (10.1016/0020-7683(92)90189-Z_BIB21) 1983; 13 Connnou (10.1016/0020-7683(92)90189-Z_BIB9) 1979; 46 Muskhelishvili (10.1016/0020-7683(92)90189-Z_BIB23) 1953 10.1016/0020-7683(92)90189-Z_BIB14 Willis (10.1016/0020-7683(92)90189-Z_BIB40) 1971; 19 10.1016/0020-7683(92)90189-Z_BIB37 10.1016/0020-7683(92)90189-Z_BIB19 Comninou (10.1016/0020-7683(92)90189-Z_BIB8) 1977; 44 Chadwick (10.1016/0020-7683(92)90189-Z_BIB6) 1987; 45 Wang (10.1016/0020-7683(92)90189-Z_BIB38) 1983; 50 Wu (10.1016/0020-7683(92)90189-Z_BIB41) 1990; 57 Stroh (10.1016/0020-7683(92)90189-Z_BIB30) 1962; 41 Suo (10.1016/0020-7683(92)90189-Z_BIB31) 1990; A427 |
| References_xml | – volume: 1 start-page: 251 year: 1953 end-page: 259 ident: BIB13 article-title: Anisotropic elasticity with applications to dislocation theory publication-title: Acta Melall. – volume: 22 start-page: 965 year: 1986 end-page: 983 ident: BIB33 article-title: Explicit solution and invariance of the singularities at an interface crack in anisotropic composites publication-title: Int. J. Solids Structures – volume: 13 start-page: 257 year: 1983 end-page: 293 ident: BIB21 article-title: Large deformations near a tip of an interface-crack between two neo-hookean sheets publication-title: J. Elast. – volume: 39 start-page: 113 year: 1991 end-page: 144 ident: BIB24 article-title: Interface cracks in antsotropic dissimilar materials: an analytic solution publication-title: J. Mech. Phys. Solids – volume: 46 start-page: 109 year: 1988 end-page: 120 ident: BIB34 article-title: Some identities and the structure of N, in the Stroh formalism of anisotropic elasticity publication-title: Q. Appl. Math – volume: 7 start-page: 13 year: 1973 end-page: 19 ident: BIB2 article-title: Synthesis of the scxtic and the integral formalism lor dislocations. Green's functions and surface waves in anisotropic elastic solids publication-title: Phyx. Nor. – volume: 9 start-page: 257 year: 1971 end-page: 265 ident: BIB7 article-title: A crack between dissimilar anisotropic media publication-title: Int. J. Engng Sci. – volume: 44 start-page: 631 year: 1977 end-page: 636 ident: BIB8 article-title: The interface crack publication-title: J. Appl. Mech. – volume: 37 start-page: 435 year: 1989 end-page: 453 ident: BIB3 article-title: Finite cracks on bimaterial and bicrystal interfaces publication-title: J. Mech. Phys. Solids – reference: (Edited by J. J. Wu, T. C. T. Ting and D. M. Barnett). SIAM. – volume: 30 start-page: 232 year: 1963 end-page: 236 ident: BIB11 article-title: Stress distribution in a nonhomogeneous elastic plane with cracks publication-title: J. Appl. Mech. – volume: 19 start-page: 353 year: 1971 end-page: 368 ident: BIB40 article-title: Fracture mechanics of interfacial cracks publication-title: J Mech. Phys. Solid – reference: Ting, T. C. T. (In press). The Stroh formalism and certain invariances in two-dimensional anisotropic elasticity In – volume: 32 start-page: 403 year: 1965 end-page: 410 ident: BIB12 article-title: Stress distribution in bonded dissimilar materials with cracks publication-title: J. Appl. Mech. – volume: 3 start-page: 253 year: 1967 end-page: 260 ident: BIB17 article-title: Some problems of bonded anisotropic plates with cracks along the bond publication-title: Int. J. Fract. Mech – volume: 46 start-page: 345 year: 1979 end-page: 358 ident: BIB9 article-title: The interface crack in a combined tension compression and shear tield publication-title: J. Appl. Mech. – volume: 45 start-page: 419 year: 1987 end-page: 427 ident: BIB6 article-title: On the structure and invariance of the Barnett-Lothe tensors publication-title: Q. Appl. Math. – volume: 184 start-page: 942 year: 1969 end-page: 951 ident: BIB20 article-title: Elastic surface waves in crystals publication-title: Phys. Rev. – volume: 57 start-page: 882 year: 1990 end-page: 886 ident: BIB41 article-title: Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials publication-title: J. Appl. Mech. – reference: Gao, H., Abbudi, M. and Barnett, D. M. (In press). On interfacial crack-tip field in anisotropic elastic solids. – reference: Boulangcr, Ph. and Hayes, M. (In press). Bivectors and inhomogeneous plane waves in anisotropic elastic bodies. In – volume: 27 start-page: 455 year: 1991 end-page: 466 ident: BIB42 article-title: Explicit crack tip fields of an extending interfacial crack in anisotropic bimaterial publication-title: Int. J. Solid Structure – year: 1961 ident: BIB16 article-title: Elements of Vector Analysis – year: 1953 ident: BIB23 article-title: Some Basic Problems of the Mathematical Theory of Elasticity – reference: (Edited by J. J. Wu, T. C. T. Ting and D. M. Barnelt). SIAM. – volume: 49 start-page: 199 year: 1959 end-page: 204 ident: BIB39 article-title: The stresses around a fault or crack in dissimilar media publication-title: Bull. Seis. Soc. Am. – volume: 47 start-page: 428 year: 1976 end-page: 433 ident: BIB22 article-title: On the existence of surface-wave solutions for anisotropic half-spaces with free surface publication-title: J. Appl. Phys. – volume: 32 start-page: 418 year: 1965 end-page: 423 ident: BIB28 article-title: Plane problems of cracks in dissimilar media publication-title: J Appl. Mech. – volume: 17 start-page: 303 year: 1977 end-page: 376 ident: BIB5 article-title: Foundations of the theory of surface waves in anisotropic elastic materials publication-title: Adv. Appl. Mech. – volume: 38 start-page: 505 year: 1990 end-page: 513 ident: BIB36 article-title: Interface cracks in anisotropic bimaterials publication-title: J. Mech. Phys. Solids – reference: (Edited by J. J. Wu, T. C. T Ting and D. M. Barnetl). SIAM. – volume: A427 start-page: 331 year: 1990 end-page: 358 ident: BIB31 article-title: Singularities, interfaces and cracks in dissimilar anisotropic media publication-title: Proc. R. Soc. Lond. – volume: 41 start-page: 77 year: 1962 end-page: 103 ident: BIB30 article-title: Steady state problems in anisotropic elasticity publication-title: J. Math. Phys. – volume: 4 start-page: 124 year: 1989 end-page: 136 ident: BIB32 article-title: Elastic Green's function for a composite solid with a planar crack in the interface publication-title: J. Mater. Res. – volume: 50 start-page: 169 year: 1983 end-page: 178 ident: BIB38 article-title: The interface crack between dissimilar anisotropic composite materials publication-title: J Appl. Mech. – volume: 57 start-page: 894 year: 1990 end-page: 900 ident: BIB44 article-title: Correspondence relations for the interface crack in monoclinic composite under mixed loading publication-title: J. Appl. Mech. – reference: Qu. J. and Li. Q. (In press). Interfacial dislocation and its application to interface crack in anisotropic bimaterials. – volume: 37 start-page: 417 year: 1989 end-page: 433 ident: BIB26 article-title: Cracks on bimatenal and bicrystal interfaces publication-title: J. Much. Phys. Solids – reference: . – volume: 55 start-page: 580 year: 1988 end-page: 586 ident: BIB15 article-title: The interface crack under combined loading publication-title: J. Appl. Mech. – reference: Wu, K. C. (In press). Explicit solutions for interface cracks in anisotropic bimaterials. In – reference: Ni, L. and Nemat-Nasser, S. (In press). Interface cracks in anisotropic dissimilar materials: aeneral case. – volume: 3 start-page: 625 year: 1958 end-page: 646 ident: BIB29 article-title: Dislocations and cracks in anisotropic elasticity publication-title: Phil. Mag. – reference: Hwu, C. (In press). Collinear cracks in anisotropic bodies. – volume: 9 start-page: 397 year: 1979 end-page: 424 ident: BIB1 article-title: Loss of adhesion at the tip ofan interface crack publication-title: J. Elast. – volume: 9 start-page: 319 year: 1987 end-page: 321 ident: BIB18 article-title: Rayleigh wave existence theory. A supplementary remark publication-title: Ware Motion – start-page: 449 year: 1990 end-page: 467 ident: BIB35 article-title: The eigenvectors of the S matrix and their relations with line dislocations and forces in anisotropic elastic solids publication-title: Micromechanics and Inhomogeneity. The Toshio Mura Anniversary Volume – volume: 32 start-page: 400 year: 1965 end-page: 402 ident: BIB10 article-title: A crack between dissimilar media publication-title: J. Appl. Mech. – year: 1961 ident: 10.1016/0020-7683(92)90189-Z_BIB16 – volume: 27 start-page: 455 year: 1991 ident: 10.1016/0020-7683(92)90189-Z_BIB42 article-title: Explicit crack tip fields of an extending interfacial crack in anisotropic bimaterial publication-title: Int. J. Solid Structure doi: 10.1016/0020-7683(91)90134-2 – volume: 32 start-page: 403 year: 1965 ident: 10.1016/0020-7683(92)90189-Z_BIB12 article-title: Stress distribution in bonded dissimilar materials with cracks publication-title: J. Appl. Mech. doi: 10.1115/1.3625814 – volume: 37 start-page: 417 year: 1989 ident: 10.1016/0020-7683(92)90189-Z_BIB26 article-title: Cracks on bimatenal and bicrystal interfaces publication-title: J. Much. Phys. Solids doi: 10.1016/0022-5096(89)90022-7 – ident: 10.1016/0020-7683(92)90189-Z_BIB19 – volume: 32 start-page: 400 year: 1965 ident: 10.1016/0020-7683(92)90189-Z_BIB10 article-title: A crack between dissimilar media publication-title: J. Appl. Mech. doi: 10.1115/1.3625813 – start-page: 449 year: 1990 ident: 10.1016/0020-7683(92)90189-Z_BIB35 article-title: The eigenvectors of the S matrix and their relations with line dislocations and forces in anisotropic elastic solids – volume: 57 start-page: 894 year: 1990 ident: 10.1016/0020-7683(92)90189-Z_BIB44 article-title: Correspondence relations for the interface crack in monoclinic composite under mixed loading publication-title: J. Appl. Mech. doi: 10.1115/1.2897658 – volume: 9 start-page: 397 year: 1979 ident: 10.1016/0020-7683(92)90189-Z_BIB1 article-title: Loss of adhesion at the tip ofan interface crack publication-title: J. Elast. doi: 10.1007/BF00044617 – ident: 10.1016/0020-7683(92)90189-Z_BIB27 doi: 10.1007/BF00041220 – volume: 7 start-page: 13 year: 1973 ident: 10.1016/0020-7683(92)90189-Z_BIB2 article-title: Synthesis of the scxtic and the integral formalism lor dislocations. Green's functions and surface waves in anisotropic elastic solids publication-title: Phyx. Nor. – volume: 30 start-page: 232 year: 1963 ident: 10.1016/0020-7683(92)90189-Z_BIB11 article-title: Stress distribution in a nonhomogeneous elastic plane with cracks publication-title: J. Appl. Mech. doi: 10.1115/1.3636517 – volume: 1 start-page: 251 year: 1953 ident: 10.1016/0020-7683(92)90189-Z_BIB13 article-title: Anisotropic elasticity with applications to dislocation theory publication-title: Acta Melall. doi: 10.1016/0001-6160(53)90099-6 – volume: 9 start-page: 319 year: 1987 ident: 10.1016/0020-7683(92)90189-Z_BIB18 article-title: Rayleigh wave existence theory. A supplementary remark publication-title: Ware Motion doi: 10.1016/0165-2125(87)90004-7 – volume: 47 start-page: 428 year: 1976 ident: 10.1016/0020-7683(92)90189-Z_BIB22 article-title: On the existence of surface-wave solutions for anisotropic half-spaces with free surface publication-title: J. Appl. Phys. doi: 10.1063/1.322665 – volume: 39 start-page: 113 year: 1991 ident: 10.1016/0020-7683(92)90189-Z_BIB24 article-title: Interface cracks in antsotropic dissimilar materials: an analytic solution publication-title: J. Mech. Phys. Solids doi: 10.1016/0022-5096(91)90033-K – volume: 3 start-page: 625 year: 1958 ident: 10.1016/0020-7683(92)90189-Z_BIB29 article-title: Dislocations and cracks in anisotropic elasticity publication-title: Phil. Mag. doi: 10.1080/14786435808565804 – volume: 57 start-page: 882 year: 1990 ident: 10.1016/0020-7683(92)90189-Z_BIB41 article-title: Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials publication-title: J. Appl. Mech. doi: 10.1115/1.2897656 – volume: 41 start-page: 77 year: 1962 ident: 10.1016/0020-7683(92)90189-Z_BIB30 article-title: Steady state problems in anisotropic elasticity publication-title: J. Math. Phys. doi: 10.1002/sapm196241177 – volume: 44 start-page: 631 year: 1977 ident: 10.1016/0020-7683(92)90189-Z_BIB8 article-title: The interface crack publication-title: J. Appl. Mech. doi: 10.1115/1.3424148 – volume: 55 start-page: 580 year: 1988 ident: 10.1016/0020-7683(92)90189-Z_BIB15 article-title: The interface crack under combined loading publication-title: J. Appl. Mech. doi: 10.1115/1.3125833 – volume: 184 start-page: 942 year: 1969 ident: 10.1016/0020-7683(92)90189-Z_BIB20 article-title: Elastic surface waves in crystals publication-title: Phys. Rev. doi: 10.1103/PhysRev.184.942 – volume: 38 start-page: 505 year: 1990 ident: 10.1016/0020-7683(92)90189-Z_BIB36 article-title: Interface cracks in anisotropic bimaterials publication-title: J. Mech. Phys. Solids doi: 10.1016/0022-5096(90)90011-R – ident: 10.1016/0020-7683(92)90189-Z_BIB4 – volume: 49 start-page: 199 year: 1959 ident: 10.1016/0020-7683(92)90189-Z_BIB39 article-title: The stresses around a fault or crack in dissimilar media publication-title: Bull. Seis. Soc. Am. doi: 10.1785/BSSA0490020199 – volume: 3 start-page: 253 year: 1967 ident: 10.1016/0020-7683(92)90189-Z_BIB17 article-title: Some problems of bonded anisotropic plates with cracks along the bond publication-title: Int. J. Fract. Mech doi: 10.1007/BF00182891 – volume: 4 start-page: 124 year: 1989 ident: 10.1016/0020-7683(92)90189-Z_BIB32 article-title: Elastic Green's function for a composite solid with a planar crack in the interface publication-title: J. Mater. Res. doi: 10.1557/JMR.1989.0124 – volume: 50 start-page: 169 year: 1983 ident: 10.1016/0020-7683(92)90189-Z_BIB38 article-title: The interface crack between dissimilar anisotropic composite materials publication-title: J Appl. Mech. doi: 10.1115/1.3166986 – ident: 10.1016/0020-7683(92)90189-Z_BIB43 – ident: 10.1016/0020-7683(92)90189-Z_BIB14 doi: 10.1016/S0022-5096(05)80018-3 – volume: 13 start-page: 257 year: 1983 ident: 10.1016/0020-7683(92)90189-Z_BIB21 article-title: Large deformations near a tip of an interface-crack between two neo-hookean sheets publication-title: J. Elast. doi: 10.1007/BF00042997 – volume: 19 start-page: 353 year: 1971 ident: 10.1016/0020-7683(92)90189-Z_BIB40 article-title: Fracture mechanics of interfacial cracks publication-title: J Mech. Phys. Solid doi: 10.1016/0022-5096(71)90004-4 – volume: 9 start-page: 257 year: 1971 ident: 10.1016/0020-7683(92)90189-Z_BIB7 article-title: A crack between dissimilar anisotropic media publication-title: Int. J. Engng Sci. doi: 10.1016/0020-7225(71)90055-3 – volume: 32 start-page: 418 year: 1965 ident: 10.1016/0020-7683(92)90189-Z_BIB28 article-title: Plane problems of cracks in dissimilar media publication-title: J Appl. Mech. doi: 10.1115/1.3625816 – volume: A427 start-page: 331 year: 1990 ident: 10.1016/0020-7683(92)90189-Z_BIB31 article-title: Singularities, interfaces and cracks in dissimilar anisotropic media – ident: 10.1016/0020-7683(92)90189-Z_BIB37 – volume: 37 start-page: 435 year: 1989 ident: 10.1016/0020-7683(92)90189-Z_BIB3 article-title: Finite cracks on bimaterial and bicrystal interfaces publication-title: J. Mech. Phys. Solids doi: 10.1016/0022-5096(89)90023-9 – volume: 22 start-page: 965 year: 1986 ident: 10.1016/0020-7683(92)90189-Z_BIB33 article-title: Explicit solution and invariance of the singularities at an interface crack in anisotropic composites publication-title: Int. J. Solids Structures doi: 10.1016/0020-7683(86)90031-4 – volume: 17 start-page: 303 year: 1977 ident: 10.1016/0020-7683(92)90189-Z_BIB5 article-title: Foundations of the theory of surface waves in anisotropic elastic materials publication-title: Adv. Appl. Mech. doi: 10.1016/S0065-2156(08)70223-0 – volume: 45 start-page: 419 year: 1987 ident: 10.1016/0020-7683(92)90189-Z_BIB6 article-title: On the structure and invariance of the Barnett-Lothe tensors publication-title: Q. Appl. Math. doi: 10.1090/qam/910450 – volume: 46 start-page: 345 year: 1979 ident: 10.1016/0020-7683(92)90189-Z_BIB9 article-title: The interface crack in a combined tension compression and shear tield publication-title: J. Appl. Mech. doi: 10.1115/1.3424553 – ident: 10.1016/0020-7683(92)90189-Z_BIB25 doi: 10.1090/qam/1162278 – volume: 46 start-page: 109 year: 1988 ident: 10.1016/0020-7683(92)90189-Z_BIB34 article-title: Some identities and the structure of N, in the Stroh formalism of anisotropic elasticity publication-title: Q. Appl. Math doi: 10.1090/qam/934686 – year: 1953 ident: 10.1016/0020-7683(92)90189-Z_BIB23 |
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| Snippet | For a mismatched bimaterial with a single interface crack subject to a constant traction along the crack surface, the solution can be written explicitly,... |
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| SubjectTerms | Exact sciences and technology Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural and continuum mechanics |
| Title | Interface cracks in anisotropic elastic bimaterials—a decomposition principle |
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