Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On the multi-scale nature of ski-snow friction in cold conditions
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0002-4085-8306
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0003-0414-029X
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0009-0005-4747-5753
Luleå University of Technology, Department of Health, Education and Technology, Health, Medicine and Rehabilitation.ORCID iD: 0000-0002-3814-6246
Show others and affiliations
2025 (English)In: Friction, ISSN 2223-7690, E-ISSN 2223-7704, Vol. 13, no 9, article id 9441069Article in journal (Refereed) Published
Abstract [en]

In the Olympic winter sports cross-country skiing and the biathlon, athletes aim to minimise resistive forces such as aerodynamic drag, gravity, and ski–snow friction to enhance performance. Ski–snow friction is complex, involving multiple friction mechanisms that vary depending on snow conditions. In cold environments, where the moisture and water content are minimal, friction is presumably influenced primarily by dry interactions between the ski and snow, particularly through adhesion and abrasion at the micro-scale. Here, we examined ski–snow friction under cold conditions using eight pairs of cross-country skis, with different apparent contact lengths and real contact areas. Our findings revealed that apparent contact length, a macro-scale parameter, had the greatest impact on friction, followed by total real contact area, which is a multi-scale parameter. For snow temperatures below approximately −10 °C, longer apparent contact lengths reduced friction, whereas shorter lengths are more effective above −10 °C. In addition, at −3 °C, minimising the total real contact area was advantageous for reducing friction, while this effect diminished at −8.5 °C. At the coldest tested temperature of −13 °C, a larger total real contact area resulted in the lowest friction. These findings highlight the importance of considering both macro- and micro-scale contact properties for optimising ski performance in different cold conditions.

Place, publisher, year, edition, pages
Tsinghua University Press , 2025. Vol. 13, no 9, article id 9441069
Keywords [en]
winter sports, cross-country ski, snow, adhesive, abrasive, friction, RTK-GNSS
National Category
Other Mechanical Engineering
Research subject
Machine Elements; Physiotherapy and Health Promotion
Identifiers
URN: urn:nbn:se:ltu:diva-104442DOI: 10.26599/FRICT.2025.9441069ISI: 001596752900001Scopus ID: 2-s2.0-105015496675OAI: oai:DiVA.org:ltu-104442DiVA, id: diva2:1841964
Funder
The Kempe Foundations, #JCK-2107
Note

Validerad;2025;Nivå 2;2025-10-01 (u5);

Full text license: CC BY 4.0;

Funder: Swedish Olympic Committee (SOK)

Available from: 2024-03-01 Created: 2024-03-01 Last updated: 2025-12-04Bibliographically approved
In thesis
1. On the Multi-Scale Nature of Ski-Snow Friction: Field Testing, Characterisation and Modelling of Cross-Country Ski Performance
Open this publication in new window or tab >>On the Multi-Scale Nature of Ski-Snow Friction: Field Testing, Characterisation and Modelling of Cross-Country Ski Performance
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The goal of most endurance sports is to get from point A to B in the shortest time possible. Throughout the course, athletes need to overcome the resistive forces that are present in their specific sport. Cross-country skiing is no exception to this, and there are mainly three resistive forces acting on a skier, the aerodynamic drag force, the friction force, and the gravitational force in the inclined parts of a track. The present work focuses on the resistive force of friction between the ski and the snow. At the highest level of ski sports, a large effort is made to reduce the ski-snow friction, and a small reduction in friction can have a large impact on the race outcome. Several aspects are considered when skis are chosen and prepared to minimise friction, ski-camber profile, ski-base material, ski-base texture, and ski-base preparation.  Depending on the prevailing snow and weather conditions, different friction mechanisms are thought to be dominant, so the choices of skis and preparations must be carefully considered and tested accordingly. The present work focuses on the multi-scale nature of ski-snow friction from a contact mechanical point of view. Where the ski-camber profile is separated into the macro- and meso-scale, and the larger deformations i.e. the macro scale are incorporated, thou ski-camber profile measurements. The smaller deformations in the snow due to the contact pressure are considered as the meso scale, where the contact mechanical response is evaluated and characterised in terms of apparent contact area and pressure. The ski-base texture is categorised as the micro-scale; on this scale, the elastic modulus is modelled as ice which is several times stiffer than the meso-scale snow. The contact mechanical response is characterised in terms of the parameters, real contact area, average interfacial separation, and average reciprocal interfacial separation. The multi-scale nature of the ski-snow contact is coupled through the apparent pressure, which acts as a load condition for the micro-scale contact simulation and considering both scales, the micro-scale parameters can be evaluated along the entire ski. To correlate the characteristics obtained from the multi-scale simulation to ski-snow friction, a full-scale ski-snow tribometer was developed. The tribometer was built to mimic an athlete on skis while performing the G7, in terms of load magnitude, positioning and transfer interface. To do so an athlete’s plantar pressure distribution was measured and analysed in different variations of the G7 position. The neutral position, resembling a load position of 55% of the athlete’s foot measured for the toe, was chosen for the tribometer. A replica of a ski boot was developed for the tribometer, herein called the measurement boot, to make it possible to use skis equipped with a regular NNN-binding system on the ski tribometer. The impact on the ski-camber profile from using the measurement boot was also studied, results showed that since a ski boot transfers the load on a larger area, the ski will collapse more, compared to the conventionally used block that is designed to fit the binding system. The tribometer from here on called the sled can be equipped with a pair of skis, where the width of the ski fits a classic ski track. The sled was designed to be loaded with regular Olympic weights to enable a large variety of different loads. During field measurements, the sled is accelerated using a downhill slope, and the velocity and position are measured using an RTK-GNSS system. The retrieved data in terms of time, altitude, and velocity, was used to calculate a mean coefficient of friction for reaching individual runs while accommodating for aerodynamic drag, centripetal force, and slope angle. During the winter period of January-February 2024, a measurement campaign was carried out to evaluate the influence of the simulated apparent and real contact area in cold conditions and hard tracks. Eight skis with different apparent contact areas were equipped with 3 different ski-base textures i.e. developing different amounts of real contact area.  Results from the friction tests indicate that there exists a different optimum combination of apparent and real contact area at the snow temperatures of -3.5, -8 and -13.5 degrees. At the warmer -3.5 degrees, a small apparent and real contact area exhibited the lowest friction, and at -13.5 degrees the opposite trend where a large apparent and contact area exhibited the lowest friction. For each condition, an empirical model was developed based on the variables apparent and real contact area.Using the developed ski-snow contact models, a pair of skis and its ski-base texture can be characterised and the frictional performance in cold conditions with hard track can be estimated using the empirical model. Employing this method makes ski and ski-base texture selection possible before testing, thus contributing to a more efficient way of conducting ski selection.

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2024
Series
Doctoral thesis / Luleå University of Technology, ISSN 1402-1544
Keywords
Cross-Country Skiing, Winter Sports, Winter Olympics, Multi-Scale, Sports Equipment, Contact Mechanics, Ski-Camber Profile, Ski-Base Texture, Ski, Snow, Friction, RTK-GNSS
National Category
Other Mechanical Engineering
Research subject
Machine Elements; Centre - Centre for Sports and Performance Technology (SPORTC)
Identifiers
urn:nbn:se:ltu:diva-104443 (URN)978-91-8048-493-0 (ISBN)978-91-8048-494-7 (ISBN)
Public defence
2024-04-26, E632, Luleå University of Technology, Luleå, 09:00 (English)
Opponent
Supervisors
Available from: 2024-03-01 Created: 2024-03-01 Last updated: 2025-10-21Bibliographically approved

Open Access in DiVA

fulltext(4653 kB)16 downloads
File information
File name FULLTEXT01.pdfFile size 4653 kBChecksum SHA-512
f680732a19beca67a172c1f6494bcdde9363a0669990eb6b9338f8f1e2813e4b35a4723ff5767136713ec868df1f85f9694f5e60b654ce772700c975b3caf4dc
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Authority records

Kalliorinne, KalleHindér, GustavSandberg, JoakimHolmberg, Hans-ChristerLarsson, RolandAlmqvist, Andreas

Search in DiVA

By author/editor
Kalliorinne, KalleHindér, GustavSandberg, JoakimHolmberg, Hans-ChristerLarsson, RolandAlmqvist, Andreas
By organisation
Machine ElementsHealth, Medicine and Rehabilitation
In the same journal
Friction
Other Mechanical Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 16 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 308 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf