%0 Journal Article %T On the effect of local sample slope during modulus measurements by contact-resonance atomic force microscopy %+ Laboratoire Charles Coulomb (L2C) %+ Ingénierie des Agro-polymères et Technologies Émergentes (UMR IATE) %+ Laboratoire de Mécanique et Génie Civil (LMGC) %+ Bois (BOIS) %+ Université de Montpellier (UM) %A Heinze, K. %A Arnould, Olivier %A Delenne, Jean-Yves %A Lullien-Pellerin, V. %A Ramonda, M. %A George, Matthieu %< avec comité de lecture %@ 0304-3991 %J Ultramicroscopy %I Elsevier %V 194 %P 78 - 88 %8 2018 %D 2018 %R 10.1016/j.ultramic.2018.07.009 %K AFM %K Contact resonance %K Surface slope %K Nano-mechanics %K Indentation modulus %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph] %Z Engineering Sciences [physics]/Micro and nanotechnologies/MicroelectronicsJournal articles %X Contact-resonance atomic force microscopy (CR-AFM) is of great interest and very valuable for a deeper understanding of the mechanics of biological materials with moduli of at least a few GPa. However, sample surfaces can present a high topography range with significant slopes, where the local angle can be as large as ± 50°. The non-trivial correlation between surface slope and CR-frequency hinders a straightforward interpretation of CR-AFM indentation modulus measurements on such samples. We aim to demonstrate the significant influence of the surface slope on the CR-frequency that is caused by the local angle between sample surface and the AFM cantilever and present a practical method to correct the measurements. Based on existing analytical models of the effect of the AFM set-up's intrinsic cantilever tilt on CR-frequencies, we compute the non-linear variation of the first two (eigen)modes CR-frequency for a large range of surface angles. The computations are confirmed by CR-AFM experiments performed on a curved surface. Finally, the model is applied to directly correct contact modulus measurements on a durum wheat starch granule as an exemplary sample. %G English %2 https://hal.science/hal-01869770/document %2 https://hal.science/hal-01869770/file/Art_Arnould_al_Ultramicroscopy_2018.pdf %L hal-01869770 %U https://hal.science/hal-01869770 %~ CIRAD %~ CNRS %~ UNIV-MONTP2 %~ INRA %~ IATE %~ LMGC %~ L2C %~ AGREENIUM %~ MIPS %~ BA %~ UNIV-MONTPELLIER %~ INSTITUT-AGRO-MONTPELLIER %~ INRAE %~ INRAEOCCITANIEMONTPELLIER %~ ANR %~ UM-2015-2021 %~ INSTITUT-AGRO