journal article·2026-05Open access

Filling a Gap in Materials Mechanics: Nanoindentation at High Constant Strain Rates up to 10 5 s −1

Lalith Kumar Bhaskar, Dipali Sonawane, Hendrik Holz, Jeongin Paeng, Peter Schweizer, Jing Rao, Bárbara Bellón, Damian Frey, Aloshious Lambai, Laszlo Pethö, Johann Michler, Jakob Schwiedrzik, Gaurav Mohanty, Gerhard Dehm, Rajaprakash Ramachandramoorthy

Small· Volume 22· Issue 28

Abstract

ABSTRACT A central focus in high strain rate research is understanding the dynamic behavior of materials at strain rates where a strength upturn is observed. While strength upturns at strain rates of 10 3 to 10 4 s −1 have been widely reported in the literature, their occurrence in certain materials remains controversial, and the underlying physics driving this phenomenon is not yet fully understood. Current mechanical testing methods are limited, as no single technique spans the full strain rate range of 10 1 to 10 5 s −1 where this phenomenon is expected, and a unified technique would enable consistent post‐deformation characterization with minimal error. To address this, we developed a customized piezoelectric in situ nanomechanical test setup, enabling constant indentation strain rates up to 10 5 s −1 , for the first time. Using this system, we examined rate‐dependent hardness in single‐crystalline molybdenum, nanocrystalline nickel, and amorphous fused silica over strain rates from 10 1 to 10 5 s −1 , remarkably revealing a hardness upturn in all three materials. Further, post‐deformation analysis of single‐crystalline molybdenum revealed that the hardness upturn was primarily driven by increased dislocation density, with phonon drag—traditionally considered a dominant contributor playing a minimal role.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Metal and Thin Film Mechanics · Boron and Carbon Nanomaterials Research · High-Velocity Impact and Material Behavior

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Max‐Planck‐Institute for Sustainable Materials Department of Structure and Micro‐∖Nano‐ Mechanics of Materials Düsseldorf Germany

Alemnis AG Thun Switzerland

Materials Science and Environmental Engineering Faculty of Engineering and Natural Sciences Tampere University Tampere Finland

Current address: VTT Technical Research Centre of Finland Ltd. Espoo Finland

Laboratory of Mechanics of Materials and Nanostructures Empa − Swiss Federal Laboratories for Materials Science and Technology Thun Switzerland

EPFL, École polytechnique fédérale de Lausanne Institute of Materials (IMX) Lausanne Switzerland

Laboratory for High Performance Ceramics Empa − Swiss Federal Laboratories for Materials Science and Technology Dübendorf Switzerland

Funding

Alexander von Humboldt-Stiftung

References (62)

Show source-provided references
1. 10.1016/j.ijmachtools.2005.07.02410.1016/j.ijmachtools.2005.07.024 ↗
2. 10.1016/j.actamat.2024.12030110.1016/j.actamat.2024.120301 ↗
3. 10.1179/174328008X27779510.1179/174328008X277795 ↗
4. 10.1126/science.adh556310.1126/science.adh5563 ↗
5. 10.1038/s41563‐025‐02119‐810.1038/s41563‐025‐02119‐8 ↗
6. 10.1126/science.111672310.1126/science.1116723 ↗
7. 10.1126/science.125854410.1126/science.1258544 ↗
8. 10.1016/j.scriptamat.2019.10.03210.1016/j.scriptamat.2019.10.032 ↗
9. 10.1038/s41586‐024‐07420‐110.1038/s41586‐024‐07420‐1 ↗
10. 10.1002/smtd.20220102810.1002/smtd.202201028 ↗
11. 10.1038/s41467‐025‐61445‐210.1038/s41467‐025‐61445‐2 ↗
12. 10.1115/1.404720610.1115/1.4047206 ↗
13. 10.1007/s40870‐019‐00223‐w10.1007/s40870‐019‐00223‐w ↗
14. 10.1007/s40870‐025‐00470‐010.1007/s40870‐025‐00470‐0 ↗
15. 10.1016/j.ijplas.2024.10392410.1016/j.ijplas.2024.103924 ↗
16. 10.1016/0001‐6160(88)90030‐210.1016/0001‐6160(88)90030‐2 ↗
17. 10.1063/1.306776410.1063/1.3067764 ↗
18. 10.1016/j.actamat.2010.05.04910.1016/j.actamat.2010.05.049 ↗
19. 10.1038/s41467-021-22781-110.1038/s41467-021-22781-1 ↗
20. 10.1016/j.ijplas.2020.10275010.1016/j.ijplas.2020.102750 ↗
21. 10.1063/1.165822210.1063/1.1658222 ↗
22. 10.1063/1.367000110.1063/1.3670001 ↗
23. P. S.Follansbee U. F.Kocks andG.Regazzoni “The Mechanical Threshold of Dynamically Deformed Copper and Nitronic 40 ”Le Journal de Physique Colloques46(1985): C5‐25–C5‐34 https://doi.org/10.1051/jphyscol:1985504.10.1051/jphyscol:1985504 ↗
24. 10.1007/s11340‐011‐9524‐x10.1007/s11340‐011‐9524‐x ↗
25. 10.1016/j.ijsolstr.2019.06.01510.1016/j.ijsolstr.2019.06.015 ↗
26. 10.1557/JMR.1992.156410.1557/JMR.1992.1564 ↗
27. 10.1557/jmr.2004.19.1.310.1557/jmr.2004.19.1.3 ↗
28. 10.1016/j.eml.2018.11.00510.1016/j.eml.2018.11.005 ↗
29. 10.1016/j.matdes.2018.04.04510.1016/j.matdes.2018.04.045 ↗
30. 10.1016/j.mechmat.2019.03.00810.1016/j.mechmat.2019.03.008 ↗
31. 10.1073/pnas.231050012010.1073/pnas.2310500120 ↗
32. 10.1016/j.jmps.2022.10510510.1016/j.jmps.2022.105105 ↗
33. 10.1007/s11837‐023‐06338‐910.1007/s11837‐023‐06338‐9 ↗
34. 10.1557/s43578‐023‐00921‐110.1557/s43578‐023‐00921‐1 ↗
35. 10.1016/j.cossms.2022.10105410.1016/j.cossms.2022.101054 ↗
36. 10.1021/acs.nanolett.8b0502410.1021/acs.nanolett.8b05024 ↗
37. 10.1016/j.matdes.2018.03.05010.1016/j.matdes.2018.03.050 ↗
38. 10.1016/j.matlet.2023.13582410.1016/j.matlet.2023.135824 ↗
39. Extending the Range of Constant Strain Rate Nanoindentation Testing
40. 10.1016/S0022-5096(97)00086-010.1016/S0022-5096(97)00086-0 ↗
41. 10.1016/j.jmrt.2024.06.07110.1016/j.jmrt.2024.06.071 ↗
42. 10.1557/jmr.2011.15610.1557/jmr.2011.156 ↗
43. 10.1016/j.msea.2004.01.01010.1016/j.msea.2004.01.010 ↗
44. 10.1007/978‐1‐4614‐4238‐7_2010.1007/978‐1‐4614‐4238‐7_20 ↗
45. 10.1016/S1359‐6454(02)00198‐210.1016/S1359‐6454(02)00198‐2 ↗
46. 10.1016/j.matdes.2023.11247110.1016/j.matdes.2023.112471 ↗
47. 10.1111/jace.1702410.1111/jace.17024 ↗
48. 10.1063/1.340755910.1063/1.3407559 ↗
49. 10.1038/srep0719310.1038/srep07193 ↗
50. 10.1016/j.actamat.2004.09.00510.1016/j.actamat.2004.09.005 ↗
51. 10.1029/2009JB00700610.1029/2009JB007006 ↗
52. 10.1016/j.matdes.2022.11050310.1016/j.matdes.2022.110503 ↗
53. M. F.HaroldandA. J.Frost The Plasticity and Creep of Metals and Ceramics ISBN no. ‐ (0080293387 9780080293387)(Pergamon Press 1982).
54. 10.1016/j.msea.2009.01.01110.1016/j.msea.2009.01.011 ↗
55. 10.1016/j.pmatsci.2005.08.00310.1016/j.pmatsci.2005.08.003 ↗
56. 10.1016/j.actamat.2011.08.04710.1016/j.actamat.2011.08.047 ↗
57. 10.1021/acs.nanolett.5b0363010.1021/acs.nanolett.5b03630 ↗
58. 10.1080/1478643690822864410.1080/14786436908228644 ↗
59. 10.1016/j.jmapro.2024.10.00510.1016/j.jmapro.2024.10.005 ↗
60. 10.1016/j.ijsolstr.2020.01.01410.1016/j.ijsolstr.2020.01.014 ↗
61. 10.1007/s40799‐022‐00602‐410.1007/s40799‐022‐00602‐4 ↗
62. 10.3390/ma1006066310.3390/ma10060663 ↗