메뉴 건너뛰기




Volumn 41, Issue 9-10, 2004, Pages 2479-2499

Contact problems and depth-sensing nanoindentation for frictionless and frictional boundary conditions

Author keywords

Adhesive contact; Elastic modulus; Hardness; Nano indentation; No slip

Indexed keywords

ADHESIVES; ANISOTROPY; BOUNDARY CONDITIONS; ELASTICITY; FRICTION; GEOMETRY; HARDNESS; INTERFACES (MATERIALS); LOADS (FORCES); PROBLEM SOLVING;

EID: 1842588538     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.12.012     Document Type: Article
Times cited : (101)

References (78)
  • 1
    • 0003730784 scopus 로고
    • The problem of contact of an elastic half-plane with an absolutely rigid rough foundation
    • in Russian
    • Abramov V.M. The problem of contact of an elastic half-plane with an absolutely rigid rough foundation Doklady AN SSSR 17 1937 173-178 (in Russian)
    • (1937) Doklady AN SSSR , vol.17 , pp. 173-178
    • Abramov, V.M.1
  • 5
    • 0001466718 scopus 로고
    • Finite-element simulation of indentation experiments
    • Bhattacharya A.K. Nix W.D. Finite-element simulation of indentation experiments Int. J. Solids Struct. 24 1988 881-891
    • (1988) Int. J. Solids Struct. , vol.24 , pp. 881-891
    • Bhattacharya, A.K.1    Nix, W.D.2
  • 6
    • 0021005154 scopus 로고
    • Similarity in the problem of contact between elastic bodies
    • Borodich F.M. Similarity in the problem of contact between elastic bodies J. Appl. Math. Mech. 47 1983 519-521
    • (1983) J. Appl. Math. Mech. , vol.47 , pp. 519-521
    • Borodich, F.M.1
  • 7
    • 0009984121 scopus 로고
    • Use of the theory of similarity in the nonlinear problem of contact between an indenter and anisotropic metallic foundations
    • A. A. Bogatov et al.(Ed.), Abakan: Krasnoyarskii Polytechnical Institute Press, (in Russian)
    • Borodich F.M. Use of the theory of similarity in the nonlinear problem of contact between an indenter and anisotropic metallic foundations Bogatov A.A., et-al. Abstracts of Reports of All-Union Conference "Metal"-Programme's Fulfillers 1988 195-196 Krasnoyarskii Polytechnical Institute Press Abakan (in Russian)
    • (1988) Abstracts of Reports of All-Union Conference "Metal"-Programme's Fulfillers , pp. 195-196
    • Borodich, F.M.1
  • 8
    • 0012166578 scopus 로고
    • Hertz contact problems for an anisotropic physically nonlinear elastic medium
    • Borodich F.M. Hertz contact problems for an anisotropic physically nonlinear elastic medium Strength Mater. 21 1989 1668-1676
    • (1989) Strength Mater. , vol.21 , pp. 1668-1676
    • Borodich, F.M.1
  • 9
    • 0009986858 scopus 로고
    • Hertz contact problems for an elastic anisotropic half-space with initial stresses
    • Borodich F.M. Hertz contact problems for an elastic anisotropic half-space with initial stresses Sov. Appl. Mech. 26 1990 126-132
    • (1990) Sov. Appl. Mech. , vol.26 , pp. 126-132
    • Borodich, F.M.1
  • 10
    • 0027208340 scopus 로고
    • The Hertz frictional contact between nonlinear elastic anisotropic bodies (the similarity approach)
    • Borodich F.M. The Hertz frictional contact between nonlinear elastic anisotropic bodies (the similarity approach) Int. J. Solids Struct. 30 1993 1513-1526
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 1513-1526
    • Borodich, F.M.1
  • 11
    • 0036833201 scopus 로고    scopus 로고
    • Self-similar problems of elastic contact for non-convex punches
    • Borodich F.M. Galanov B.A. Self-similar problems of elastic contact for non-convex punches J. Mech. Phys. Solids 50 2002 2441-2461
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 2441-2461
    • Borodich, F.M.1    Galanov, B.A.2
  • 12
    • 0042494794 scopus 로고    scopus 로고
    • Analytical study of fundamental nanoindentation test relations for indenters of non-ideal shapes
    • Borodich F.M. Keer L.M. Korach C.S. Analytical study of fundamental nanoindentation test relations for indenters of non-ideal shapes Nanotechnology 14 2003 803-808
    • (2003) Nanotechnology , vol.14 , pp. 803-808
    • Borodich, F.M.1    Keer, L.M.2    Korach, C.S.3
  • 13
    • 1542616988 scopus 로고    scopus 로고
    • Evaluation of elastic modulus of materials by adhesive (no-slip) nanoindentation
    • in press
    • Borodich, F.M., Keer, L.M., 2004. Evaluation of elastic modulus of materials by adhesive (no-slip) nanoindentation. Proc. R. Soc. Ser. A, in press
    • (2004) Proc. R. Soc. Ser. A
    • Borodich, F.M.1    Keer, L.M.2
  • 15
    • 0020141091 scopus 로고
    • Rough contact between elastically and geometrically identical curved bodies
    • Bryant M.D. Keer L.M. Rough contact between elastically and geometrically identical curved bodies Trans. ASME J. Appl. Mech. 49 1982 345-352
    • (1982) Trans. ASME J. Appl. Mech. , vol.49 , pp. 345-352
    • Bryant, M.D.1    Keer, L.M.2
  • 18
    • 0012661359 scopus 로고
    • Mechanical properties of materials studied from kinetic diagrams of load versus depth of impression during microimpression
    • Bulychev S.I. Alekhin V.P. Shorshorov M.Kh. Ternovskii A.P. Mechanical properties of materials studied from kinetic diagrams of load versus depth of impression during microimpression Strength Mater. 8 1976 1084-1089
    • (1976) Strength Mater. , vol.8 , pp. 1084-1089
    • Bulychev, S.I.1    Alekhin, V.P.2    Shorshorov, M.Kh.3    Ternovskii, A.P.4
  • 19
    • 0035860891 scopus 로고    scopus 로고
    • Computational modeling of the forward and reverse problems in instrumented sharp indentation
    • Dao M. Chollacoop N. Van Vliet K.J. Venkatesh T.A. Suresh S. Computational modeling of the forward and reverse problems in instrumented sharp indentation Acta Mater. 49 2001 3899-3918
    • (2001) Acta Mater. , vol.49 , pp. 3899-3918
    • Dao, M.1    Chollacoop, N.2    Van Vliet, K.J.3    Venkatesh, T.A.4    Suresh, S.5
  • 20
    • 1842531505 scopus 로고
    • Extracting the tension diagram on the basis of hardness tests
    • Davidenkov N.N. Extracting the tension diagram on the basis of hardness tests Zhur. Tekh. Fiz. 13 1943 389-393 (in Russian)
    • (1943) Zhur. Tekh. Fiz. , vol.13 , pp. 389-393
    • Davidenkov, N.N.1
  • 21
    • 1842531506 scopus 로고
    • Impact and compression of elastic bodies
    • Izd. Acad. Nauk Ukr.SSR, Kiev (in Russia)
    • Dinnik A.N. Impact and compression of elastic bodies Collected Works, vol. 1 1952 Izd. Acad. Nauk Ukr.SSR, Kiev (in Russian)
    • (1952) Collected Works , vol.1
    • Dinnik, A.N.1
  • 22
    • 84974183414 scopus 로고
    • A method for interpreting the data from depth-sensing indentation instruments
    • Doerner M.F. Nix W.D. A method for interpreting the data from depth-sensing indentation instruments J. Mater. Res. 1 1986 601-609
    • (1986) J. Mater. Res. , vol.1 , pp. 601-609
    • Doerner, M.F.1    Nix, W.D.2
  • 24
    • 0031077343 scopus 로고    scopus 로고
    • Elastic-plastic behaviour in materials loaded with a spherical indenter
    • Fischer-Cripps A.C. Elastic-plastic behaviour in materials loaded with a spherical indenter J. Mater. Sci. 32 1997 727-736
    • (1997) J. Mater. Sci. , vol.32 , pp. 727-736
    • Fischer-Cripps, A.C.1
  • 25
    • 0002245165 scopus 로고
    • Approximate solution to some problems of elastic contact of two bodies
    • Galanov B.A. Approximate solution to some problems of elastic contact of two bodies Mech. Solids 16 1981 61-67
    • (1981) Mech. Solids , vol.16 , pp. 61-67
    • Galanov, B.A.1
  • 26
    • 0002746096 scopus 로고
    • Approximate solution of some contact problems with an unknown contact area under conditions of power law of material hardening
    • in Russian and Ukranian
    • Galanov B.A. Approximate solution of some contact problems with an unknown contact area under conditions of power law of material hardening Dokl. AN Urain. SSR, A 6 1981 36-41 (in Russian and Ukrainian)
    • (1981) Dokl. AN Urain. SSR, A , vol.6 , pp. 36-41
    • Galanov, B.A.1
  • 27
    • 0010057831 scopus 로고
    • Approximate method for solution of some contact problems with an unknown contact area for two creeping bodies
    • Galanov B.A. Approximate method for solution of some contact problems with an unknown contact area for two creeping bodies Sov. Appl. Mech. 18 1982 49-55
    • (1982) Sov. Appl. Mech. , vol.18 , pp. 49-55
    • Galanov, B.A.1
  • 28
    • 1842584021 scopus 로고
    • Deformation and fracture of superhard materials in concentrated loading
    • Galanov B.A. Grigor'ev O.N. Deformation and fracture of superhard materials in concentrated loading Strength Mater. 18 1986 1330-1337
    • (1986) Strength Mater. , vol.18 , pp. 1330-1337
    • Galanov, B.A.1    Grigor'ev, O.N.2
  • 29
    • 0041472843 scopus 로고
    • Spatial contact problems of the theory of elasticity for punches of circular shape in planar projection
    • in Russian
    • Galin L.A. Spatial contact problems of the theory of elasticity for punches of circular shape in planar projection J. Appl. Math. Mech. (PMM) 10 1946 425-448 (in Russian)
    • (1946) J. Appl. Math. Mech. (PMM) , vol.10 , pp. 425-448
    • Galin, L.A.1
  • 30
    • 0004278060 scopus 로고
    • Contact Problems in the Theory of Elasticity
    • Moscow-Leningrad: Gostekhizdat, (English transl. Galin, L.A. (1961) I.N. Sneddon, (Ed.), North Carolina State College, Departments of Mathematics and Engineering Research, NSF Grant No. G16447, 1961)
    • Galin L.A. Contact Problems in the Theory of Elasticity 1953 Gostekhizdat Moscow-Leningrad (English transl. Galin, L.A. (1961). I.N. Sneddon, (Ed.), Contact Problems in the Theory of Elasticity. North Carolina State College, Departments of Mathematics and Engineering Research, NSF Grant No. G16447, 1961)
    • (1953) Contact Problems in the Theory of Elasticity
    • Galin, L.A.1
  • 31
    • 0033553060 scopus 로고    scopus 로고
    • Mechanism-based strain gradient plasticity-I Theory
    • Gao H. Huang Y. Nix W.D. Hutchinson J.W. Mechanism-based strain gradient plasticity-I Theory JMPS 47 1999 1239-1263
    • (1999) JMPS , vol.47 , pp. 1239-1263
    • Gao, H.1    Huang, Y.2    Nix, W.D.3    Hutchinson, J.W.4
  • 33
    • 85024572798 scopus 로고
    • Contact stress analysis of normally loaded rough spheres
    • Goodman L.E. Contact stress analysis of normally loaded rough spheres J. Appl. Mech. 29 1962 515-522
    • (1962) J. Appl. Mech. , vol.29 , pp. 515-522
    • Goodman, L.E.1
  • 35
    • 0042823540 scopus 로고
    • Hardness testing of plastics
    • Grodzinski P. Hardness testing of plastics Plastics 18 1953 312-314
    • (1953) Plastics , vol.18 , pp. 312-314
    • Grodzinski, P.1
  • 36
    • 0032672512 scopus 로고    scopus 로고
    • An critical examination of the fundamental relations used in the analysis of nanoindentation data
    • Hay J.C. Bolshakov A. Pharr G.M. An critical examination of the fundamental relations used in the analysis of nanoindentation data J. Mater. Res. 14 1999 2296-2305
    • (1999) J. Mater. Res. , vol.14 , pp. 2296-2305
    • Hay, J.C.1    Bolshakov, A.2    Pharr, G.M.3
  • 38
    • 84934701192 scopus 로고
    • Ueber die Berührung fester elastischer Körper
    • English transl. Hertz, H. (1896) On the contact of elastic solids. Miscellaneous papers by H. Hertz. In: D.E. Jones, G.A. Schott, (Eds.), Macmillan, London, pp. 146-162
    • Hertz H. Ueber die Berührung fester elastischer Körper J. Reine Angew. Math. 92 1882 156-171 (English transl. Hertz, H. (1896) On the contact of elastic solids. Miscellaneous papers by H. Hertz. In: D.E. Jones, G.A. Schott, (Eds.), Macmillan, London, pp. 146-162)
    • (1882) J. Reine Angew. Math. , vol.92 , pp. 156-171
    • Hertz, H.1
  • 39
    • 6044234251 scopus 로고
    • Ueber die Berührung fester elastischer Körper und über die Härte
    • Berlin, November, (English transl. Hertz, H., On the contact of elastic solids and on hardness. Miscellaneous papers by H. Hertz. In: D.E. Jones, G.A. Schott, (Eds.), Macmillan, London
    • Hertz, H., 1882b. Ueber die Berührung fester elastischer Körper und über die Härte. Verhandlungen des Vereins zur Beförderung des Gewerbefleißes. Berlin, November, 1882 (English transl. Hertz, H. (1896) On the contact of elastic solids and on hardness. Miscellaneous papers by H. Hertz. In: D.E. Jones, G.A. Schott, (Eds.), Macmillan, London, pp. 163-183)
    • (1882) Verhandlungen des Vereins Zur Beförderung des Gewerbefleißes , pp. 163-183
    • Hertz, H.1
  • 40
    • 1842531508 scopus 로고
    • Application of the method of microhardness measurements for solving some physical problems
    • in Russian
    • Ioffe B.S. Application of the method of microhardness measurements for solving some physical problems Zhur. Tekh. Fiz. 19 1949 1089-1102 (in Russian)
    • (1949) Zhur. Tekh. Fiz. , vol.19 , pp. 1089-1102
    • Ioffe, B.S.1
  • 41
    • 0000338577 scopus 로고
    • 100 years of Hertz contact
    • Johnson K.L. 100 years of Hertz contact Proc. Inst. Mech. Eng. 196 1982 363-378
    • (1982) Proc. Inst. Mech. Eng. , vol.196 , pp. 363-378
    • Johnson, K.L.1
  • 42
    • 85040875608 scopus 로고
    • Cambridge: Cambridge University Press
    • Johnson K.L. Contact Mechanics 1985 Cambridge University Press Cambridge
    • (1985) Contact Mechanics
    • Johnson, K.L.1
  • 43
    • 1542562004 scopus 로고
    • Some results of microhardness test using the depth of impression
    • in Russian
    • Kalei G.N. Some results of microhardness test using the depth of impression Mashinovedenie 4 3 1968 105-107 (in Russian)
    • (1968) Mashinovedenie , vol.4 , Issue.3 , pp. 105-107
    • Kalei, G.N.1
  • 44
    • 0345841323 scopus 로고
    • Mixed boundary-value problems for an elastic half-space
    • Keer L.M. Mixed boundary-value problems for an elastic half-space Proc. Camb. Philos. Soc. 63 1967 1379-1386
    • (1967) Proc. Camb. Philos. Soc. , vol.63 , pp. 1379-1386
    • Keer, L.M.1
  • 45
    • 1542562002 scopus 로고
    • Coupled pairs of dual integral equations with trigonometric kernels
    • Khadem R. Keer L.M. Coupled pairs of dual integral equations with trigonometric kernels Quart. Appl. Math. 31 1974 467-480
    • (1974) Quart. Appl. Math. , vol.31 , pp. 467-480
    • Khadem, R.1    Keer, L.M.2
  • 46
    • 1842584020 scopus 로고
    • Experience in the application of electronic microscope for measurement of very small imprints obtained at microhardness test
    • in Russian
    • Khrushchov M.M. Berkovich E.S. Experience in the application of electronic microscope for measurement of very small imprints obtained at microhardness test Izvestiya AN SSSR. Otd. Tekh. Nauk. 11 1950 1645-1649 (in Russian)
    • (1950) Izvestiya AN SSSR. Otd. Tekh. Nauk. , vol.11 , pp. 1645-1649
    • Khrushchov, M.M.1    Berkovich, E.S.2
  • 47
    • 0008412752 scopus 로고
    • Über einige Eigenschaften des ebenen Problems der Elastizitätstheorie
    • Kolosov G.V. Über einige Eigenschaften des ebenen Problems der Elastizitätstheorie Z. Math. Phys. 62 1914 383-409
    • (1914) Z. Math. Phys. , vol.62 , pp. 383-409
    • Kolosov, G.V.1
  • 48
    • 0035314225 scopus 로고    scopus 로고
    • Investigation of sharp contact at rigid-plastic conditions
    • Larsson P.L. Investigation of sharp contact at rigid-plastic conditions Int. J. Mech. Sci. 43 2001 895-920
    • (2001) Int. J. Mech. Sci. , vol.43 , pp. 895-920
    • Larsson, P.L.1
  • 50
    • 0013153121 scopus 로고
    • Die Bedeutung des Gleit- und Reißwiderstandes für die Werkstoffprüfung
    • Ludwik P. Die Bedeutung des Gleit- und Reißwiderstandes für die Werkstoffprüfung Z. des Verein. deutscher Ingenieure 71 1927 1532-1538
    • (1927) Z. des Verein. Deutscher Ingenieure , vol.71 , pp. 1532-1538
    • Ludwik, P.1
  • 51
    • 0003425142 scopus 로고
    • J. R. Radok (Ed.), New York: Interscience Publishers Gostekhizdat, Moscow (English transl. Lur'e, A.I. (1964))
    • Lur'e A.I. Radok J.R.M. Three-Dimensional Problems of the Theory of Elasticity, Gostekhizdat, Moscow 1955 Interscience Publishers New York (English transl. Lur'e, A.I. (1964))
    • (1955) Three-Dimensional Problems of the Theory of Elasticity
    • Lur'e, A.I.1
  • 52
    • 0036565096 scopus 로고    scopus 로고
    • Contact deformation regimes around sharp indentations and the concept of the characteristic strain
    • Mata M. Anglada M. Alcala J. Contact deformation regimes around sharp indentations and the concept of the characteristic strain J. Mater. Res. 17 2002 964-976
    • (2002) J. Mater. Res. , vol.17 , pp. 964-976
    • Mata, M.1    Anglada, M.2    Alcala, J.3
  • 54
    • 0006769640 scopus 로고
    • Untersuchungen über Härteprüfung und Härte
    • Meyer E. Untersuchungen über Härteprüfung und Härte Physikalische Z. 9 1908 66-74
    • (1908) Physikalische Z. , vol.9 , pp. 66-74
    • Meyer, E.1
  • 55
    • 10444229781 scopus 로고
    • Plasticity characteristic obtained through hardness measurement
    • Milman Y.V. Galanov B.A. Chugunova S.I. Plasticity characteristic obtained through hardness measurement Acta Metall. Mater. 41 9 1993 2523-2532
    • (1993) Acta Metall. Mater. , vol.41 , Issue.9 , pp. 2523-2532
    • Milman, Y.V.1    Galanov, B.A.2    Chugunova, S.I.3
  • 56
    • 0001701095 scopus 로고
    • The fundamental mixed problem of the theory of elasticity for a half-space with a circular line separating the boundary conditions
    • in Russian
    • Mossakovskii V.I. The fundamental mixed problem of the theory of elasticity for a half-space with a circular line separating the boundary conditions J. Appl. Math. Mech. (PMM) 18 1954 187-196 (in Russian)
    • (1954) J. Appl. Math. Mech. (PMM) , vol.18 , pp. 187-196
    • Mossakovskii, V.I.1
  • 57
    • 0342884540 scopus 로고
    • Compression of elastic bodies under conditions of adhesion (axisymmetric case)
    • Mossakovskii V.I. Compression of elastic bodies under conditions of adhesion (axisymmetric case) J. Appl. Math. Mech. 27 1963 630-643
    • (1963) J. Appl. Math. Mech. , vol.27 , pp. 630-643
    • Mossakovskii, V.I.1
  • 60
    • 0021629846 scopus 로고
    • The deformation theory of plasticity of anisotropic media
    • Pobedrya B.E. The deformation theory of plasticity of anisotropic media J. Appl. Math. Mech. 48 1984 10-17
    • (1984) J. Appl. Math. Mech. , vol.48 , pp. 10-17
    • Pobedrya, B.E.1
  • 61
    • 0020832196 scopus 로고
    • Hardness measurement at penetration depths as small as 20-nm
    • Pethica J.B. Hutchings R. Oliver W.C. Hardness measurement at penetration depths as small as 20-nm Philos. Mag. A 48 1983 593-606
    • (1983) Philos. Mag. A , vol.48 , pp. 593-606
    • Pethica, J.B.1    Hutchings, R.2    Oliver, W.C.3
  • 62
    • 0026836958 scopus 로고
    • On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation
    • Pharr G.M. Oliver W.C. Brotzen F.R. On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation J. Mater. Res. 7 1992 613-617
    • (1992) J. Mater. Res. , vol.7 , pp. 613-617
    • Pharr, G.M.1    Oliver, W.C.2    Brotzen, F.R.3
  • 63
    • 18444374070 scopus 로고
    • L'art de convertir le fer forge en acier et l'art d'adoucir le fer fondu ou de faire des ouvrages de faire fondu aussi finis que de fer forge
    • Paris: Michel Brunet, (reprinted in part, with résumé by F. Cournot, 447-468)
    • Réaumur R.A. L'art de convertir le fer forge en acier et l'art d'adoucir le fer fondu ou de faire des ouvrages de faire fondu aussi finis que de fer forge 1722 Michel Brunet Paris pp. 566-587 (reprinted in part, with résumé by F. Cournot, 1922. Revue de Metallurgie, Memoires 19, 447-468
    • (1722) Revue de Metallurgie, Memoires , vol.19 , pp. 566-587
    • Réaumur, R.A.1
  • 65
    • 0000275569 scopus 로고
    • Work of plastic and elastic deformation during indenter indentation
    • Shorshorov M.Kh. Bulychev S.I. Alekhin V.P. Work of plastic and elastic deformation during indenter indentation Sov. Phys. Dokl. 26 1981 769-771
    • (1981) Sov. Phys. Dokl. , vol.26 , pp. 769-771
    • Shorshorov, M.Kh.1    Bulychev, S.I.2    Alekhin, V.P.3
  • 66
    • 0000372883 scopus 로고
    • On the Hertz theory of local deformations resulting from the pressure of elastic solids
    • in Russian
    • Shtaerman I.Ya. On the Hertz theory of local deformations resulting from the pressure of elastic solids Dokl. Akad. Nauk SSSR 25 1939 360-362 (in Russian)
    • (1939) Dokl. Akad. Nauk SSSR , vol.25 , pp. 360-362
    • Shtaerman, I.Ya.1
  • 67
    • 0344142154 scopus 로고
    • An accurate method of determining the hardness of metals, with particular reference to those of a high degree of hardness
    • Smith R.L. Sandland G.E. An accurate method of determining the hardness of metals, with particular reference to those of a high degree of hardness Proc. Inst. Mech. Eng. 1 1922 623-641
    • (1922) Proc. Inst. Mech. Eng. , vol.1 , pp. 623-641
    • Smith, R.L.1    Sandland, G.E.2
  • 68
    • 0345793656 scopus 로고
    • Some notes on the use of a diamond pyramid for hardness testing
    • Smith R.L. Sandland G.E. Some notes on the use of a diamond pyramid for hardness testing J. Iron Steel Inst. 111 1925 285-294
    • (1925) J. Iron Steel Inst. , vol.111 , pp. 285-294
    • Smith, R.L.1    Sandland, G.E.2
  • 69
    • 0011713787 scopus 로고
    • The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile
    • Sneddon I.N. The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile Int. J. Eng. Sci. 3 1965 47-57
    • (1965) Int. J. Eng. Sci. , vol.3 , pp. 47-57
    • Sneddon, I.N.1
  • 70
    • 0002409165 scopus 로고
    • Self similar solutions to adhesive contact problems with incremental loading
    • Spence D.A. Self similar solutions to adhesive contact problems with incremental loading Proc. R. Soc. London A 305 1968 55-80
    • (1968) Proc. R. Soc. London A , vol.305 , pp. 55-80
    • Spence, D.A.1
  • 71
    • 1842531509 scopus 로고
    • Some three-dimensional static contact problems of elasticity with slippage and adhesion
    • Spektor A.A. Some three-dimensional static contact problems of elasticity with slippage and adhesion Mech. Solids 16 1981 10-21
    • (1981) Mech. Solids , vol.16 , pp. 10-21
    • Spektor, A.A.1
  • 72
    • 0016573586 scopus 로고
    • The Hertz contact problem with finite friction
    • Spence D.A. The Hertz contact problem with finite friction J. Elast. 5 1975 297-319
    • (1975) J. Elast. , vol.5 , pp. 297-319
    • Spence, D.A.1
  • 75
    • 79955782097 scopus 로고
    • Contact of non-spherical elastic bodies transmitting tangential forces
    • Vermeulen P.J. Johnson K.L. Contact of non-spherical elastic bodies transmitting tangential forces Trans. ASME J. Appl. Mech. 31 1964 338-340
    • (1964) Trans. ASME J. Appl. Mech. , vol.31 , pp. 338-340
    • Vermeulen, P.J.1    Johnson, K.L.2
  • 77
    • 0000004666 scopus 로고
    • Hertzian contact of anisotropic bodies
    • Willis J.R. Hertzian contact of anisotropic bodies J. Mech. Phys. Solids 14 1966 163-176
    • (1966) J. Mech. Phys. Solids , vol.14 , pp. 163-176
    • Willis, J.R.1
  • 78
    • 1842479463 scopus 로고
    • Hertz problem and Brinell test
    • in Russian
    • Zaitsev G.P. Hertz problem and Brinell test Zhur. Tekh. Fiz. 19 1949 336-346 (in Russian)
    • (1949) Zhur. Tekh. Fiz. , vol.19 , pp. 336-346
    • Zaitsev, G.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.