The Hertzian contact surface
Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by i...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Umfang: |
9 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Journal of materials science - 1966, 34(1999) vom: Jan., Seite 129-137 |
| Übergeordnetes Werk: |
volume:34 ; year:1999 ; month:01 ; pages:129-137 ; extent:9 |
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| 520 | |a Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. | ||
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(DE-627)NLEJ194694429 DE-627 ger DE-627 rakwb eng The Hertzian contact surface 1999 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. Springer Online Journal Archives 1860-2002 Fischer-Cripps, A. C. oth in Journal of materials science 1966 34(1999) vom: Jan., Seite 129-137 (DE-627)NLEJ188987134 (DE-600)2015305-3 1573-4803 nnns volume:34 year:1999 month:01 pages:129-137 extent:9 http://dx.doi.org/10.1023/A:1004490230078 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 34 1999 1 129-137 9 |
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(DE-627)NLEJ194694429 DE-627 ger DE-627 rakwb eng The Hertzian contact surface 1999 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. Springer Online Journal Archives 1860-2002 Fischer-Cripps, A. C. oth in Journal of materials science 1966 34(1999) vom: Jan., Seite 129-137 (DE-627)NLEJ188987134 (DE-600)2015305-3 1573-4803 nnns volume:34 year:1999 month:01 pages:129-137 extent:9 http://dx.doi.org/10.1023/A:1004490230078 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 34 1999 1 129-137 9 |
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(DE-627)NLEJ194694429 DE-627 ger DE-627 rakwb eng The Hertzian contact surface 1999 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. Springer Online Journal Archives 1860-2002 Fischer-Cripps, A. C. oth in Journal of materials science 1966 34(1999) vom: Jan., Seite 129-137 (DE-627)NLEJ188987134 (DE-600)2015305-3 1573-4803 nnns volume:34 year:1999 month:01 pages:129-137 extent:9 http://dx.doi.org/10.1023/A:1004490230078 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 34 1999 1 129-137 9 |
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(DE-627)NLEJ194694429 DE-627 ger DE-627 rakwb eng The Hertzian contact surface 1999 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. Springer Online Journal Archives 1860-2002 Fischer-Cripps, A. C. oth in Journal of materials science 1966 34(1999) vom: Jan., Seite 129-137 (DE-627)NLEJ188987134 (DE-600)2015305-3 1573-4803 nnns volume:34 year:1999 month:01 pages:129-137 extent:9 http://dx.doi.org/10.1023/A:1004490230078 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 34 1999 1 129-137 9 |
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(DE-627)NLEJ194694429 DE-627 ger DE-627 rakwb eng The Hertzian contact surface 1999 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. Springer Online Journal Archives 1860-2002 Fischer-Cripps, A. C. oth in Journal of materials science 1966 34(1999) vom: Jan., Seite 129-137 (DE-627)NLEJ188987134 (DE-600)2015305-3 1573-4803 nnns volume:34 year:1999 month:01 pages:129-137 extent:9 http://dx.doi.org/10.1023/A:1004490230078 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 34 1999 1 129-137 9 |
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Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. |
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Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. |
| abstract_unstemmed |
Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ194694429</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707234022.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070526s1999 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ194694429</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Hertzian contact surface</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">9</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract It is tempting to accept the predictions regarding indentation depth and radius of circle of contact between two elastic bodies in contact given by the well-known Hertz equations at face value. However, it is nevertheless of interest to examine these predictions either by experiment or by independent computation. Indentation depth may be readily compared using standard experimental apparatus but in this paper, attention is given to the radius of curvature of the indented surface for a condition of full load. The conclusion arising from the Hertz equations, that contact between a flat surface and a non-rigid indenter of radius R is equivalent to that between the flat surface and a perfectly rigid indenter of a larger radius, has not thus far been examined in detail in the literature, possibly because of the difficulty in measuring such a radius of curvature in situ while load is applied to the indenter. This feature of contact between two solids is of interest since it has been often used as the basis for various hardness theories which involve an elastic–plastic contact. This paper addresses the issue by utilizing the finite-element method to compute the radius of curvature of the contact surface for both elastic and elastic–plastic contacts. It is shown that indentations involving elastic–plastic deformations within either or both the specimen and the indenter are equivalent to indentations with a perfectly rigid spherical indenter whose radius is somewhat smaller than that calculated using the Hertz equations for elastic contact. An experimental compliance response is used to indirectly validate the finite-element results.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Springer Online Journal Archives 1860-2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fischer-Cripps, A. C.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Journal of materials science</subfield><subfield code="d">1966</subfield><subfield code="g">34(1999) vom: Jan., Seite 129-137</subfield><subfield code="w">(DE-627)NLEJ188987134</subfield><subfield code="w">(DE-600)2015305-3</subfield><subfield code="x">1573-4803</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:34</subfield><subfield code="g">year:1999</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:129-137</subfield><subfield code="g">extent:9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1023/A:1004490230078</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SOJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">34</subfield><subfield code="j">1999</subfield><subfield code="c">1</subfield><subfield code="h">129-137</subfield><subfield code="g">9</subfield></datafield></record></collection>
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