메뉴 건너뛰기




Volumn 48, Issue 3, 1997, Pages 370-388

The singular equilibrium field at the notch-tip of a compressible material in finite elastostatics

Author keywords

Finite elasticity; Notch problem

Indexed keywords


EID: 0031496460     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050039     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0013284563 scopus 로고
    • Singularities of the stress-strain state of a plate in the neighbourhood of an edge
    • O. K. Aksentian, Singularities of the stress-strain state of a plate in the neighbourhood of an edge, Prikl. Mat. Mekh. (1967), 193-202.
    • (1967) Prikl. Mat. Mekh. , pp. 193-202
    • Aksentian, O.K.1
  • 2
    • 85124701057 scopus 로고
    • Stress singularities resulting from various boundary conditions in angular corners of plates in extension
    • M. L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, J. Appl. Mech. 19 (1952), 526-528.
    • (1952) J. Appl. Mech. , vol.19 , pp. 526-528
    • Williams, M.L.1
  • 3
    • 85143876880 scopus 로고
    • The complex variable approach to stress singularities. II
    • M. L. Williams, The complex variable approach to stress singularities. II, J. Appl. Mech. 23 (1956), 477-478.
    • (1956) J. Appl. Mech. , vol.23 , pp. 477-478
    • Williams, M.L.1
  • 4
    • 85024545960 scopus 로고
    • Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading
    • D. B. Bogy, Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading, J. Appl. Mech. 35 (1968), 460-466.
    • (1968) J. Appl. Mech. , vol.35 , pp. 460-466
    • Bogy, D.B.1
  • 5
    • 46149134258 scopus 로고
    • On stress singularity at tips of plane notches
    • P. Xiaolin, On stress singularity at tips of plane notches, Mech. Res. Comm. 13 (1986), 173-178.
    • (1986) Mech. Res. Comm. , vol.13 , pp. 173-178
    • Xiaolin, P.1
  • 6
    • 0018532067 scopus 로고
    • On the stress singularities in the plane elasticity of the composite wedge
    • J. P. Dempsey and G. B. Sinclair, On the stress singularities in the plane elasticity of the composite wedge, J. Elasticity 9 (1979), 373-391.
    • (1979) J. Elasticity , vol.9 , pp. 373-391
    • Dempsey, J.P.1    Sinclair, G.B.2
  • 7
    • 85008269051 scopus 로고
    • Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions
    • D. B. Bogy, Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions, J. Appl. Mech. 38 (1971), 377-386.
    • (1971) J. Appl. Mech. , vol.38 , pp. 377-386
    • Bogy, D.B.1
  • 8
    • 0017216809 scopus 로고
    • Stress singularities of composite plates with smooth or rough interfaces
    • P. S. Theocaris and E. E Gdoutos, Stress singularities of composite plates with smooth or rough interfaces, Arch. Mech. Stosow. 28 (1976), 693-704.
    • (1976) Arch. Mech. Stosow. , vol.28 , pp. 693-704
    • Theocaris, P.S.1    Gdoutos, E.E.2
  • 9
    • 0015108385 scopus 로고
    • Stress concentrations and singularities at interface corners
    • A. K. Rao, Stress concentrations and singularities at interface corners, Z. angew. Math. Mech. 51 (1971), 395-406.
    • (1971) Z. Angew. Math. Mech. , vol.51 , pp. 395-406
    • A K, R.1
  • 10
    • 0000332563 scopus 로고
    • Large plane deformations of thin elastic sheets of Neo-Hookean material
    • F. S. Wong and R. T. Shield, Large plane deformations of thin elastic sheets of Neo-Hookean material, Z. angew. Math. Phys. 20 (1969), 176-199.
    • (1969) Z. Angew. Math. Phys. , vol.20 , pp. 176-199
    • Wong, F.S.1    Shield, R.T.2
  • 11
    • 0020815634 scopus 로고
    • Large deformations near a tip of an interface-crack between two Neo-Hookean sheets
    • J. K. Knowles and Eli Sternberg, Large deformations near a tip of an interface-crack between two Neo-Hookean sheets, J. Elasticity 13 (1983), 257-293.
    • (1983) J. Elasticity , vol.13 , pp. 257-293
    • Knowles, J.K.1    Sternberg, E.2
  • 12
    • 0003059274 scopus 로고
    • An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack
    • J. K. Knowles and Eli Sternberg, An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack, J. Elasticity 3 (1973), 67-107.
    • (1973) J. Elasticity , vol.3 , pp. 67-107
    • Knowles, J.K.1    Sternberg, E.2
  • 13
    • 0016103064 scopus 로고
    • Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher order results
    • J. K. Knowles and Eli Sternberg, Finite-deformation analysis of the elastostatic field near the tip of a crack: reconsideration and higher order results, J. Elasticity 4 (1974), 201-233.
    • (1974) J. Elasticity , vol.4 , pp. 201-233
    • Knowles, J.K.1    Sternberg, E.2
  • 14
    • 0019923188 scopus 로고
    • The equilibrium field near the tip of a crack for finite plane strain of incompressible elastic materials
    • R. A. Stephenson, The equilibrium field near the tip of a crack for finite plane strain of incompressible elastic materials, J. Elasticity 12 (1982), 65-99.
    • (1982) J. Elasticity , vol.12 , pp. 65-99
    • Stephenson, R.A.1
  • 15
    • 0026820267 scopus 로고
    • On the singular elastostatic field induced by a crack in a Hadamard material
    • K. Ch. Le, On the singular elastostatic field induced by a crack in a Hadamard material, Quart. J. Mech. Appl. Math. 45 (1992), 101-117.
    • (1992) Quart. J. Mech. Appl. Math. , vol.45 , pp. 101-117
    • Le, K.Ch.1
  • 16
    • 0027659888 scopus 로고
    • The singular elastostatic field due to a crack in rubberlike materials
    • K. Ch. Le and H. Stumpf, The singular elastostatic field due to a crack in rubberlike materials, J. Elasticity 32 (1993), 183-222.
    • (1993) J. Elasticity , vol.32 , pp. 183-222
    • Le, K.Ch.1    Stumpf, H.2
  • 17
    • 0017542772 scopus 로고
    • The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids
    • J. K. Knowles, The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids, Int. J. Fracture 13 (1977), 611-639.
    • (1977) Int. J. Fracture , vol.13 , pp. 611-639
    • Knowles, J.K.1
  • 19
    • 0014838666 scopus 로고
    • Existence of solutions of the equilibrium equations for nonlinearly elastic rings and arches
    • S. S. Antman, Existence of solutions of the equilibrium equations for nonlinearly elastic rings and arches, Indiana Univ. Math. J. 20 (1970), 281-302.
    • (1970) Indiana Univ. Math. J. , vol.20 , pp. 281-302
    • Antman, S.S.1
  • 20
    • 0020591564 scopus 로고
    • Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders
    • S. S. Antman, Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders, Arch. Rational Mech. Anal. 83 (1983), 1-52.
    • (1983) Arch. Rational Mech. Anal. , vol.83 , pp. 1-52
    • Antman, S.S.1
  • 22
    • 0000917292 scopus 로고
    • Sur les lois de comportement en élasticité non-linéaire compressible
    • P. G. Ciarlet and G. Geymonat, Sur les lois de comportement en élasticité non-linéaire compressible, C. R. Acad. Sci. Paris Sér. II 295 (1982), 423-426.
    • (1982) C. R. Acad. Sci. Paris Sér. II , vol.295 , pp. 423-426
    • Ciarlet, P.G.1    Geymonat, G.2
  • 23
    • 0003491808 scopus 로고
    • Two-dimensional theory of elasticity for finite deformation
    • J. E. Adkins, A. E. Green and G. C. Nicholas, Two-dimensional theory of elasticity for finite deformation, Phil. Trans. Roy. Soc. A 247 (1954), 279-306.
    • (1954) Phil. Trans. Roy. Soc. A , vol.247 , pp. 279-306
    • Adkins, J.E.1    Green, A.E.2    Nicholas, G.C.3
  • 24
    • 0003493901 scopus 로고
    • Plane problems in second-order elasticity theory
    • J. E. Adkins and A. E. Green, Plane problems in second-order elasticity theory, Phil. Trans. Roy. Soc. A 239 (1957), 557-576.
    • (1957) Phil. Trans. Roy. Soc. A , vol.239 , pp. 557-576
    • Adkins, J.E.1    Green, A.E.2
  • 25
    • 0003077565 scopus 로고
    • Mathematical analysis in the mechanics of fracture
    • Chapt. 3, Academic Press, New York
    • J. R. Rice, Mathematical Analysis in the Mechanics of Fracture, Fracture, vol. II, Chapt. 3, Academic Press, New York 1968.
    • (1968) Fracture , vol.2
    • Rice, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.