Bitte benutzen Sie diese Referenz, um auf diese Ressource zu verweisen: doi:10.22028/D291-38379
Titel: Analytical and numerical results for the elasticity and adhesion of elastic films with arbitrary Poisson’s ratio and confinement
VerfasserIn: Müller, Christian
Müser, Martin H.
Sprache: Englisch
Titel: The Journal of Adhesion
Verlag/Plattform: Taylor & Francis
Erscheinungsjahr: 2022
Freie Schlagwörter: Adhesion
crack propagation
elastomer
modeling
theory
thin films
DDC-Sachgruppe: 500 Naturwissenschaften
Dokumenttyp: Journalartikel / Zeitschriftenartikel
Abstract: We present an approximate, analytical treatment for the linearly elastic response of a film with arbitrary Poisson's ratio ν, which is indented by a flat cylindrical punch while resting on a rigid foundation. Our approach is based on a simple scaling argument allowing the vast changes of the elastomer’s effective modulus E¯¯¯ with the ratio of film height h and indenter radius a to be described with a compact, analytical expression. This yields exact asymptotics for large and small reduced film heights h/a, whereby it also reproduces the observation that E¯¯¯(h/a) has a pronounced minimum for ν>0.49 at h/a≈1.6. Using Green’s function molecular dynamics (GFMD), we demonstrate that the predictions for E¯¯¯(h/a) are reasonably correct and generate accurate reference data for effective modulus and pull-off force. GFMD also reveals that the nature of surface instabilities occurring during stable crack growth as well as the crack initiation itself depend sensitively on the way how continuum mechanics is terminated at small scales, that is, on parameters beyond the two dimensionless numbers h/a and ν defining the continuum problem.
DOI der Erstveröffentlichung: 10.1080/00218464.2022.2038580
URL der Erstveröffentlichung: http://dx.doi.org/10.1080/00218464.2022.2038580
Link zu diesem Datensatz: urn:nbn:de:bsz:291--ds-383798
hdl:20.500.11880/34623
http://dx.doi.org/10.22028/D291-38379
ISSN: 1545-5823
0021-8464
Datum des Eintrags: 2-Dez-2022
Fakultät: NT - Naturwissenschaftlich- Technische Fakultät
Fachrichtung: NT - Materialwissenschaft und Werkstofftechnik
Professur: NT - Prof. Dr. Martin Müser
Sammlung:SciDok - Der Wissenschaftsserver der Universität des Saarlandes



Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons Creative Commons