Modeling of Polymer Friction on Boundaries of Solids and Inside Materials
Friction models are proposed for anisotropic and heterogeneous dry friction on boundaries of polymer solids. Unit vectors and oriented angles of sliding velocities, radii of curvature and unit normal vectors of sliding trajectories are taken as independent variables in constitutive equations of anis...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/14/20/6187 |
| _version_ | 1797513936511172608 |
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| author | Alfred Zmitrowicz |
| author_facet | Alfred Zmitrowicz |
| author_sort | Alfred Zmitrowicz |
| collection | DOAJ |
| description | Friction models are proposed for anisotropic and heterogeneous dry friction on boundaries of polymer solids. Unit vectors and oriented angles of sliding velocities, radii of curvature and unit normal vectors of sliding trajectories are taken as independent variables in constitutive equations of anisotropic and heterogeneous friction. Heterogeneous dry friction of a polymer pin in pin-on-disc tests is illustrated in the case of Archimedean spiral trajectory. Individual molecular chains composing polymer materials can move inside the material with a high degree of friction anisotropy. The resistance of macromolecule motion is considered with respect to micromechanical models of macromolecules, their kinematics, and friction laws. Two approaches are applied for modeling of anisotropic friction inside polymer materials: continuum-based models (anisotropic viscous friction) and micromechanical models (anisotropic dry friction). Examples of macromolecule dry friction are considered under conditions of spinning and sliding of a disc-like macromolecule and snake-like sliding of a long macromolecule. |
| first_indexed | 2024-03-10T06:24:35Z |
| format | Article |
| id | doaj.art-05bef1737f91411aa7ead07419dfb5b5 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T06:24:35Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-05bef1737f91411aa7ead07419dfb5b52023-11-22T19:00:27ZengMDPI AGMaterials1996-19442021-10-011420618710.3390/ma14206187Modeling of Polymer Friction on Boundaries of Solids and Inside MaterialsAlfred Zmitrowicz0Institute of Fluid-Flow Machinery, Polish Academy of Sciences, ul. J. Fiszera 14, 80-231 Gdańsk, PolandFriction models are proposed for anisotropic and heterogeneous dry friction on boundaries of polymer solids. Unit vectors and oriented angles of sliding velocities, radii of curvature and unit normal vectors of sliding trajectories are taken as independent variables in constitutive equations of anisotropic and heterogeneous friction. Heterogeneous dry friction of a polymer pin in pin-on-disc tests is illustrated in the case of Archimedean spiral trajectory. Individual molecular chains composing polymer materials can move inside the material with a high degree of friction anisotropy. The resistance of macromolecule motion is considered with respect to micromechanical models of macromolecules, their kinematics, and friction laws. Two approaches are applied for modeling of anisotropic friction inside polymer materials: continuum-based models (anisotropic viscous friction) and micromechanical models (anisotropic dry friction). Examples of macromolecule dry friction are considered under conditions of spinning and sliding of a disc-like macromolecule and snake-like sliding of a long macromolecule.https://www.mdpi.com/1996-1944/14/20/6187anisotropyheterogeneitydry frictionLangevin equationviscous friction |
| spellingShingle | Alfred Zmitrowicz Modeling of Polymer Friction on Boundaries of Solids and Inside Materials Materials anisotropy heterogeneity dry friction Langevin equation viscous friction |
| title | Modeling of Polymer Friction on Boundaries of Solids and Inside Materials |
| title_full | Modeling of Polymer Friction on Boundaries of Solids and Inside Materials |
| title_fullStr | Modeling of Polymer Friction on Boundaries of Solids and Inside Materials |
| title_full_unstemmed | Modeling of Polymer Friction on Boundaries of Solids and Inside Materials |
| title_short | Modeling of Polymer Friction on Boundaries of Solids and Inside Materials |
| title_sort | modeling of polymer friction on boundaries of solids and inside materials |
| topic | anisotropy heterogeneity dry friction Langevin equation viscous friction |
| url | https://www.mdpi.com/1996-1944/14/20/6187 |
| work_keys_str_mv | AT alfredzmitrowicz modelingofpolymerfrictiononboundariesofsolidsandinsidematerials |