<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Measuring errors caused by deformation (flattening) of a measured object appear under the influence of pressure force and weight of the measured object. Plastic strain, arising at the contact of a measured object and an undeformable contact tip of a measuring device, can be calculated by applying the Hertz plastic solution and the hypothesis of plastic strain. In a small area of contact between two bodies pressing against one another with force <italic>F</italic>, there appears the so-called contact stress. It can sometime reach very high values, exceeding the yield point, even when the contact pressure is relatively small. In the present work, the authors describe a theoretical solution to the problem of plastic strain between two bodies. The derived relationships enable to calculate force <italic>F</italic> during measurements of a deformable object by means of an instrument with an undeformable, spherical measuring tip. By applying the <italic>τ<sub>max</sub></italic> hypothesis, a solution was obtained for the force <italic>F</italic> in an inexplicit form. The theoretical solution was verified with the digital simulation and experimental measurement. With the FEM method, the limit length gage was modeled in interaction with the measured shaft of a diameter <italic>d</italic> larger than the nominal one of Δ<italic>l</italic> value.</p></abstract>

Measuring errors caused by deformation (flattening) of a measured object appear under the influence of pressure force and weight of the measured object. Plastic strain, arising at the contact of a measured object and an undeformable contact tip of a measuring device, can be calculated by applying the Hertz plastic solution and the hypothesis of plastic strain. In a small area of contact between two bodies pressing against one another with force F, there appears the so-called contact stress. It can sometime reach very high values, exceeding the yield point, even when the contact pressure is relatively small. In the present work, the authors describe a theoretical solution to the problem of plastic strain between two bodies. The derived relationships enable to calculate force F during measurements of a deformable object by means of an instrument with an undeformable, spherical measuring tip. By applying the τmax hypothesis, a solution was obtained for the force F in an inexplicit form. The theoretical solution was verified with the digital simulation and experimental measurement. With the FEM method, the limit length gage was modeled in interaction with the measured shaft of a diameter d larger than the nominal one of Δl value.

Plastic Deformations of Measured Object Surface in Contact with Undeformable Surface of Measuring Tool

Kazimierz Pulaski University of Technology and Humanities, Mechanical Faculty, Malczewskiego 29, 26-600 Radom,

Czestochowa University of Technology, Faculty of Mechanical Engineering and Computer Sciences, Aleja Armii Krajowej 21,42-201, Czestochowa,

Measurement Science Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Measuring errors caused by deformation (flattening) of a measured object appear under the influence of pressure force and weight of the measured object....

Plastic Deformations of Measured Object Surface in Contact with Undeformable Surface of Measuring Tool

Publié en ligne: 26 oct. 2016

Pages: 254 - 259

Reçu: 08 juil. 2016

Accepté: 06 oct. 2016

DOI: https://doi.org/10.1515/msr-2016-0031

Mots clés
Measuring deformation, contact plastic strain, contact pressure

© 2016 Marek Kowalik et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Plastic Deformations of Measured Object Surface in Contact with Undeformable Surface of Measuring Tool

Publié en ligne: 26 oct. 2016

Pages: 254 - 259

Reçu: 08 juil. 2016

Accepté: 06 oct. 2016

DOI: https://doi.org/10.1515/msr-2016-0031

Mots clésMeasuring deformation, contact plastic strain, contact pressure

© 2016 Marek Kowalik et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Measuring deformation, contact plastic strain, contact pressure