Elastic field induced by a hemispherical inclusion in the half-space

Acta Mechanica Sinica/Lixue Xuebao

Volumn 19, Issue 3, 2003, Pages 253-262

  Wu, Linzhi ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Eigenstrain; Elastic field; Green's function; Half space; Hemispherical inclusion

Indexed keywords

CONTINUUM MECHANICS; GREEN'S FUNCTION; INCLUSIONS;

EIGENSTRAIN; ELASTIC FIELD; HALF SPACE; HEMISPHERICAL INCLUSION; INCLUSION SHAPE; STRESS FIELD;

ELASTICITY;

EID: 0141719349     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02484488     Document Type: Article

References (19)

1. Eshelby JD. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond, 1957, A241: 376-396
2. Eshelby JD. The elastic field outside an elastic inclusion. Proc R Soc Lond, 1959, A252: 561-569
3. Eshelby JD. Elastic inclusions and inhomogeneities. In: Sneddon IN, Hill R, eds. Progress in Solid Mechanics, Vol 2. Amsterdam: North-Holland, 1961. 89-140
4. Mura T. Micromechanics of Defects in Solids, 2nd edition. Dordrecht: Martinus Nijhoff, 1987
5. Mura T. Inclusion problems. Appl Mech Rev, 1988, 41: 15-20
6. Mindlin RD, Cheng DH. Thermoelastic stress in the semi-infinite solid. J Appl Phys, 1950, 21: 931-933
7. Mindlin RD. Force at a point in the interior of a semi-infinite solid. In: Proceedings of First Midwestern Conference on Solid Mechanics, 1953. 55-59
8. Seo K, Mura T. The elastic field in a half space due to ellipsoidal inclusions with uniform dilatational eigen-strains. J Appl Mech, 1979, 46: 568-572
9. Yu HY, Sanday SC. Axisymmetric inclusion in a half space. J Appl Mech, 1990, 57: 74-77
10. Chiu YP. On the stress field and surface deformation in a half space with a cuboidal zone in which initial strains are uniform. J Appl Mech, 1978, 45: 302-306
11. Chiu YP. On the internal stress in a half plane and a layer containing localized inelastic strains or inclusions. J Appl Mech, 1980, 47: 313-318
12. Youngdahl CK, Sternberg E. Three-dimensional stress concentration around a cylindrical hole in a semi-infinite elastic body. ASME J Appl Mech, Series E. 1966, 33: 855-865
13. Hasegawa H, Lee VG, Mura T. Hollow circular cylindrical inclusion at the surface of a half-space. J Appl Mech, 1993, 60: sl07-sl14
14. 3≤h. J Appl Mech, 1995, 62: 579-584
15. 3≤h. J Appl Mech, 1995, 62: 585-589
16. Wu LZ, Du SY. The elastic field in a half-space with a circular cylindrical inclusion. J Appl Mech, 1996, 63: 925-932
17. Kouris D, Mura T. The elastic field of a hemispherical inhomogeneity at the free surface of an elastic half space. J Mech Phys Solids, 1989, 37: 365-379
18. Kouris D, Tsuchida E, Mura T. The hemispheroidal inhomogeneity at the free surface of an elastic half space. J Appl Mech, 1989, 56: 70-76
19. Wu LZ, Du SY. The elastic field with a hemispherical inclusion. Proc R Soc Lond, 1999, A455, 879-891