DOI: 10.1063/1.1398300. The effect of surface roughness on the adhesion of elastic solids

The effect of surface roughness on the adhesion of elastic solids

10.1063/1.1398300

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We study the influence of surface roughness on the adhesion of elastic solids. Most real surfaces have roughness on many different length scales, and this fact is taken into account in our analysis. We consider in detail the case when the surface roughness can be described as a self-affine fractal, and show that when the fractal dimension Df&gt;2.5, the adhesion force may vanish, or be at least strongly reduced. We consider the block-substrate pull-off force as a function of roughness, and find a partial detachment transition preceding a full detachment one. The theory is in good qualitative agreement with experimental data.

Bibliography

Persson, B. N. J., & Tosatti, E. (2001). The effect of surface roughness on the adhesion of elastic solids. The Journal of Chemical Physics, 115(12), 5597â5610.

Authors 2

B. N. J. Persson (first)
E. Tosatti (additional)

References 41 Referenced 281

{'key': '2024020610050274200_r1'}
10.1063/1.1388626 / J. Chem. Phys. (2001)
10.1098/rspa.1975.0138 / Proc. R. Soc. London, Ser. A (1975)
10.1098/rspa.1971.0141 / Proc. R. Soc. London, Ser. A (1971)
10.1103/PhysRevB.32.3586 / Phys. Rev. B (1985)
10.1103/PhysRevB.63.104101 / Phys. Rev. B (2001)
{'key': '2024020610050274200_r6'}
10.5254/1.3547607 / Rubber Chem. Technol. (2000)
10.1098/rspa.1980.0044 / Proc. R. Soc. London, Ser. A (1980)
{'key': '2024020610050274200_r9'}
{'key': '2024020610050274200_r10', 'first-page': '1197', 'volume': '2000', 'journal-title': 'C. R. Acad. Sci., Ser. IV'} / C. R. Acad. Sci., Ser. IV
{'key': '2024020610050274200_r11'}
10.1088/0022-3727/10/18/010 / J. Phys. D (1977)
10.1088/0022-3727/14/2/015 / J. Phys. D (1981)
10.1063/1.1323956 / J. Chem. Phys. (2000)
10.1103/PhysRevLett.82.936 / Phys. Rev. Lett. (1999)
10.1080/00218469108026514 / J. Adhes. (1991)
10.1103/PhysRevLett.85.4546 / Phys. Rev. Lett. (2000)
{'key': '2024020610050274200_r14d'}
{'key': '2024020610050274200_r15'}
{'key': '2024020610050274200_r16'}
10.1088/0022-3727/4/8/320 / J. Phys. D (1971)
10.1088/0022-3727/6/15/304 / J. Phys. D (1973)
10.1088/0022-3727/8/9/002 / J. Phys. D (1975)
10.1080/00107518008210960 / Contemp. Phys. (1980)
{'key': '2024020610050274200_r18'}
10.1098/rspa.1969.0085 / Proc. R. Soc. London, Ser. A (1969)
{'key': '2024020610050274200_r19a', 'first-page': '1517', 'volume': '303', 'year': '1986', 'journal-title': 'C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers.'} / C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers. (1986)
10.1080/00218469708010519 / J. Adhes. (1997)
10.1080/00218469708014562 / J. Adhes. (1997)
{'key': '2024020610050274200_r20'}
{'key': '2024020610050274200_r21'}
10.1098/rspa.1966.0242 / Proc. R. Soc. London, Ser. A (1966)
10.1098/rspa.1957.0214 / Proc. R. Soc. London, Ser. A (1957)
{'key': '2024020610050274200_r21c'}
{'key': '2024020610050274200_r22'}
10.1080/00218469908017233 / J. Adhes. (1999)
10.1007/BF01124691 / J. Mater. Sci. (1991)
10.5254/1.3538691 / Rubber Chem. Technol. (1994)
10.1126/science.252.5009.1157 / Science (1991)
{'key': '2024020610050274200_r26'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 10:16 a.m.)
Deposited	1 year, 6 months ago (Feb. 6, 2024, 5:24 a.m.)
Indexed	4 weeks ago (Aug. 6, 2025, 8:34 a.m.)
Issued	23 years, 11 months ago (Sept. 22, 2001)
Published	23 years, 11 months ago (Sept. 22, 2001)
Published Print	23 years, 11 months ago (Sept. 22, 2001)

Funders 0

None

BibTeX

@article{Persson_2001, title={The effect of surface roughness on the adhesion of elastic solids}, volume={115}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1398300}, DOI={10.1063/1.1398300}, number={12}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Persson, B. N. J. and Tosatti, E.}, year={2001}, month=sep, pages={5597–5610} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        6
      ]
    ],
    "date-time": "2025-08-06T12:34:55Z",
    "timestamp": 1754483695586
  },
  "reference-count": 41,
  "publisher": "AIP Publishing",
  "issue": "12",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        2001,
        9,
        22
      ]
    ]
  },
  "abstract": "<jats:p>We study the influence of surface roughness on the adhesion of elastic solids. Most real surfaces have roughness on many different length scales, and this fact is taken into account in our analysis. We consider in detail the case when the surface roughness can be described as a self-affine fractal, and show that when the fractal dimension Df&amp;gt;2.5, the adhesion force may vanish, or be at least strongly reduced. We consider the block-substrate pull-off force as a function of roughness, and find a partial detachment transition preceding a full detachment one. The theory is in good qualitative agreement with experimental data.</jats:p>",
  "DOI": "10.1063/1.1398300",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T14:16:02Z",
    "timestamp": 1027692962000
  },
  "page": "5597-5610",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 281,
  "title": "The effect of surface roughness on the adhesion of elastic solids",
  "prefix": "10.1063",
  "volume": "115",
  "author": [
    {
      "given": "B. N. J.",
      "family": "Persson",
      "sequence": "first",
      "affiliation": [
        {
          "name": "IFF, FZ-J\u00fclich, 52425\u2009J\u00fclich, Germany"
        },
        {
          "name": "International School for Advanced Studies (SISSA), Via Beirut 2-4, I-34014, Trieste, Italy"
        }
      ]
    },
    {
      "given": "E.",
      "family": "Tosatti",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "International School for Advanced Studies (SISSA), Via Beirut 2-4, I-34014, Trieste, Italy"
        },
        {
          "name": "INFM, Unita\u2019 SISSA, Trieste, Italy"
        },
        {
          "name": "International Centre for Theoretical Physics, P.O. Box 586, I-34014, Trieste, Italy"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020610050274200_r1"
    },
    {
      "key": "2024020610050274200_r2",
      "doi-asserted-by": "crossref",
      "first-page": "3840",
      "DOI": "10.1063/1.1388626",
      "volume": "115",
      "year": "2001",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020610050274200_r3",
      "doi-asserted-by": "crossref",
      "first-page": "327",
      "DOI": "10.1098/rspa.1975.0138",
      "volume": "345",
      "year": "1975",
      "journal-title": "Proc. R. Soc. London, Ser. A"
    },
    {
      "key": "2024020610050274200_r4",
      "doi-asserted-by": "crossref",
      "first-page": "301",
      "DOI": "10.1098/rspa.1971.0141",
      "volume": "324",
      "year": "1971",
      "journal-title": "Proc. R. Soc. London, Ser. A"
    },
    {
      "key": "2024020610050274200_r5",
      "doi-asserted-by": "crossref",
      "first-page": "3586",
      "DOI": "10.1103/PhysRevB.32.3586",
      "volume": "32",
      "year": "1985",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020610050274200_r5a",
      "doi-asserted-by": "crossref",
      "first-page": "104101",
      "DOI": "10.1103/PhysRevB.63.104101",
      "volume": "63",
      "year": "2001",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020610050274200_r6"
    },
    {
      "key": "2024020610050274200_r7",
      "doi-asserted-by": "crossref",
      "first-page": "578",
      "DOI": "10.5254/1.3547607",
      "volume": "73",
      "year": "2000",
      "journal-title": "Rubber Chem. Technol."
    },
    {
      "key": "2024020610050274200_r8",
      "doi-asserted-by": "crossref",
      "first-page": "459",
      "DOI": "10.1098/rspa.1980.0044",
      "volume": "370",
      "year": "1980",
      "journal-title": "Proc. R. Soc. London, Ser. A"
    },
    {
      "key": "2024020610050274200_r9"
    },
    {
      "key": "2024020610050274200_r10",
      "first-page": "1197",
      "volume": "2000",
      "journal-title": "C. R. Acad. Sci., Ser. IV"
    },
    {
      "key": "2024020610050274200_r11"
    },
    {
      "key": "2024020610050274200_r12",
      "doi-asserted-by": "crossref",
      "first-page": "2453",
      "DOI": "10.1088/0022-3727/10/18/010",
      "volume": "10",
      "year": "1977",
      "journal-title": "J. Phys. D"
    },
    {
      "key": "2024020610050274200_r13",
      "doi-asserted-by": "crossref",
      "first-page": "221",
      "DOI": "10.1088/0022-3727/14/2/015",
      "volume": "14",
      "year": "1981",
      "journal-title": "J. Phys. D"
    },
    {
      "key": "2024020610050274200_r14",
      "doi-asserted-by": "crossref",
      "first-page": "10712",
      "DOI": "10.1063/1.1323956",
      "volume": "113",
      "year": "2000",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020610050274200_r14a",
      "doi-asserted-by": "crossref",
      "first-page": "936",
      "DOI": "10.1103/PhysRevLett.82.936",
      "volume": "82",
      "year": "1999",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020610050274200_r14b",
      "doi-asserted-by": "crossref",
      "first-page": "201",
      "DOI": "10.1080/00218469108026514",
      "volume": "34",
      "year": "1991",
      "journal-title": "J. Adhes."
    },
    {
      "key": "2024020610050274200_r14c",
      "doi-asserted-by": "crossref",
      "first-page": "4546",
      "DOI": "10.1103/PhysRevLett.85.4546",
      "volume": "85",
      "year": "2000",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020610050274200_r14d"
    },
    {
      "key": "2024020610050274200_r15"
    },
    {
      "key": "2024020610050274200_r16"
    },
    {
      "key": "2024020610050274200_r17",
      "doi-asserted-by": "crossref",
      "first-page": "1186",
      "DOI": "10.1088/0022-3727/4/8/320",
      "volume": "4",
      "year": "1971",
      "journal-title": "J. Phys. D"
    },
    {
      "key": "2024020610050274200_r17a",
      "doi-asserted-by": "crossref",
      "first-page": "1782",
      "DOI": "10.1088/0022-3727/6/15/304",
      "volume": "6",
      "year": "1973",
      "journal-title": "J. Phys. D"
    },
    {
      "key": "2024020610050274200_r17b",
      "doi-asserted-by": "crossref",
      "first-page": "115",
      "DOI": "10.1088/0022-3727/8/9/002",
      "volume": "8",
      "year": "1975",
      "journal-title": "J. Phys. D"
    },
    {
      "key": "2024020610050274200_r17c",
      "doi-asserted-by": "crossref",
      "first-page": "277",
      "DOI": "10.1080/00107518008210960",
      "volume": "21",
      "year": "1980",
      "journal-title": "Contemp. Phys."
    },
    {
      "key": "2024020610050274200_r18"
    },
    {
      "key": "2024020610050274200_r19",
      "doi-asserted-by": "crossref",
      "first-page": "433",
      "DOI": "10.1098/rspa.1969.0085",
      "volume": "310",
      "year": "1969",
      "journal-title": "Proc. R. Soc. London, Ser. A"
    },
    {
      "key": "2024020610050274200_r19a",
      "first-page": "1517",
      "volume": "303",
      "year": "1986",
      "journal-title": "C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers."
    },
    {
      "key": "2024020610050274200_r19b",
      "doi-asserted-by": "crossref",
      "first-page": "123",
      "DOI": "10.1080/00218469708010519",
      "volume": "61",
      "year": "1997",
      "journal-title": "J. Adhes."
    },
    {
      "key": "2024020610050274200_r19c",
      "doi-asserted-by": "crossref",
      "first-page": "45",
      "DOI": "10.1080/00218469708014562",
      "volume": "62",
      "year": "1997",
      "journal-title": "J. Adhes."
    },
    {
      "key": "2024020610050274200_r20"
    },
    {
      "key": "2024020610050274200_r21"
    },
    {
      "key": "2024020610050274200_r21a",
      "doi-asserted-by": "crossref",
      "first-page": "300",
      "DOI": "10.1098/rspa.1966.0242",
      "volume": "295",
      "year": "1966",
      "journal-title": "Proc. R. Soc. London, Ser. A"
    },
    {
      "key": "2024020610050274200_r21b",
      "doi-asserted-by": "crossref",
      "first-page": "190",
      "DOI": "10.1098/rspa.1957.0214",
      "volume": "243",
      "year": "1957",
      "journal-title": "Proc. R. Soc. London, Ser. A"
    },
    {
      "key": "2024020610050274200_r21c"
    },
    {
      "key": "2024020610050274200_r22"
    },
    {
      "key": "2024020610050274200_r23",
      "doi-asserted-by": "crossref",
      "first-page": "307",
      "DOI": "10.1080/00218469908017233",
      "volume": "69",
      "year": "1999",
      "journal-title": "J. Adhes."
    },
    {
      "key": "2024020610050274200_r24",
      "doi-asserted-by": "crossref",
      "first-page": "3392",
      "DOI": "10.1007/BF01124691",
      "volume": "26",
      "year": "1991",
      "journal-title": "J. Mater. Sci."
    },
    {
      "key": "2024020610050274200_r24a",
      "doi-asserted-by": "crossref",
      "first-page": "549",
      "DOI": "10.5254/1.3538691",
      "volume": "67",
      "year": "1994",
      "journal-title": "Rubber Chem. Technol."
    },
    {
      "key": "2024020610050274200_r25",
      "doi-asserted-by": "crossref",
      "first-page": "1157",
      "DOI": "10.1126/science.252.5009.1157",
      "volume": "252",
      "year": "1991",
      "journal-title": "Science"
    },
    {
      "key": "2024020610050274200_r26"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/115/12/5597/19201513/5597_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/115/12/5597/19201513/5597_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        6
      ]
    ],
    "date-time": "2024-02-06T10:24:15Z",
    "timestamp": 1707215055000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/115/12/5597/457619/The-effect-of-surface-roughness-on-the-adhesion-of"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2001,
        9,
        22
      ]
    ]
  },
  "references-count": 41,
  "journal-issue": {
    "issue": "12",
    "published-print": {
      "date-parts": [
        [
          2001,
          9,
          22
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.1398300",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        2001,
        9,
        22
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        2001,
        9,
        22
      ]
    ]
  }
}