Strain rate-dependent non-linear constitutive model of bone: From quasi-static to low-impact loading scenarios.
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| Titel: | Strain rate-dependent non-linear constitutive model of bone: From quasi-static to low-impact loading scenarios. |
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| Autoren: | Gerber G; ARTORG Center for Biomedical Engineering Research, University of Bern, Freiburgstrasse 3, Bern, 3010, Bern, Switzerland. Electronic address: gabriela.gerber@unibe.ch., Varga P; AO Research Institute, Clavadelerstrasse 8, Davos, 7270, Graubünden, Switzerland., Schwiedrzik J; Empa Swiss Federal Laboratories for Materials Science and Technology, Überlandstrasse 129, Dübendorf, 8600, Zürich, Switzerland., Zysset P; ARTORG Center for Biomedical Engineering Research, University of Bern, Freiburgstrasse 3, Bern, 3010, Bern, Switzerland. |
| Quelle: | Journal of the mechanical behavior of biomedical materials [J Mech Behav Biomed Mater] 2025 Dec; Vol. 172, pp. 107157. Date of Electronic Publication: 2025 Aug 18. |
| Publikationsart: | Journal Article |
| Sprache: | English |
| Info zur Zeitschrift: | Publisher: Elsevier Country of Publication: Netherlands NLM ID: 101322406 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1878-0180 (Electronic) Linking ISSN: 18780180 NLM ISO Abbreviation: J Mech Behav Biomed Mater Subsets: MEDLINE |
| Imprint Name(s): | Original Publication: Amsterdam : Elsevier |
| MeSH-Schlagworte: | Stress, Mechanical* , Nonlinear Dynamics* , Models, Biological*, Humans ; Finite Element Analysis ; Biomechanical Phenomena ; Tibia/physiology ; Accidental Falls ; Femur/physiology ; Weight-Bearing ; Male |
| Abstract: | Competing Interests: Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Osteoporotic fractures at the upper and lower extremity are typically caused by falls from standing height involving relatively high strain rates. Finite element models of bone used for fracture risk prediction often underestimate both stiffness and strength in such low-impact fall scenarios due to the absence of strain rate dependency in constitutive models of bone. In this study, an anisotropic viscoelastoplastic damage model for bone applicable for quasi-static experimental tests, physiological loading and low-impact fall scenarios covering eight orders of magnitude strain rate was developed. Single element tests, as well as homogenised finite element simulations of human distal tibiae (n=25) and proximal femora (n=14), were performed and validated against literature values and experimental tests performed under quasi-static and high strain rate conditions. The model reproduces the experimentally observed increase in stiffness and yield stress at higher strain rates both qualitatively and quantitatively. Under quasi-static conditions, high concordance correlation coefficients (CCC) confirmed excellent agreement between experimental and simulated apparent stiffness (CCC=0.98) and yield force (CCC=0.98). For simulations involving high strain rates, both stiffness (CCC=0.33) and yield force (CCC=0.31) were underestimated when using a rate-insensitive constitutive model. With the viscoelastoplastic model, the apparent stiffness was overestimated (CCC=0.53), while the yield force was in fair agreement with the experimental data (CCC=0.76). To conclude, the viscoelastoplastic constitutive model is applicable for finite element analysis involving bone at strain rates ranging from quasi-static experimental tests up to low-impact fall scenarios and substantially improves the prediction of biomechanical outcome parameters relevant for fracture risk prediction. (Copyright © 2025 The Authors. Published by Elsevier Ltd.. All rights reserved.) |
| Contributed Indexing: | Keywords: Bone; Finite element analysis; Material model; Strain rate sensitivity; Viscoelastic |
| Entry Date(s): | Date Created: 20250831 Date Completed: 20250916 Latest Revision: 20250916 |
| Update Code: | 20250916 |
| DOI: | 10.1016/j.jmbbm.2025.107157 |
| PMID: | 40886402 |
| Datenbank: | MEDLINE |
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Nájsť tento článok vo Web of Science | Abstract: | Competing Interests: Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.<br />Osteoporotic fractures at the upper and lower extremity are typically caused by falls from standing height involving relatively high strain rates. Finite element models of bone used for fracture risk prediction often underestimate both stiffness and strength in such low-impact fall scenarios due to the absence of strain rate dependency in constitutive models of bone. In this study, an anisotropic viscoelastoplastic damage model for bone applicable for quasi-static experimental tests, physiological loading and low-impact fall scenarios covering eight orders of magnitude strain rate was developed. Single element tests, as well as homogenised finite element simulations of human distal tibiae (n=25) and proximal femora (n=14), were performed and validated against literature values and experimental tests performed under quasi-static and high strain rate conditions. The model reproduces the experimentally observed increase in stiffness and yield stress at higher strain rates both qualitatively and quantitatively. Under quasi-static conditions, high concordance correlation coefficients (CCC) confirmed excellent agreement between experimental and simulated apparent stiffness (CCC=0.98) and yield force (CCC=0.98). For simulations involving high strain rates, both stiffness (CCC=0.33) and yield force (CCC=0.31) were underestimated when using a rate-insensitive constitutive model. With the viscoelastoplastic model, the apparent stiffness was overestimated (CCC=0.53), while the yield force was in fair agreement with the experimental data (CCC=0.76). To conclude, the viscoelastoplastic constitutive model is applicable for finite element analysis involving bone at strain rates ranging from quasi-static experimental tests up to low-impact fall scenarios and substantially improves the prediction of biomechanical outcome parameters relevant for fracture risk prediction.<br /> (Copyright © 2025 The Authors. Published by Elsevier Ltd.. All rights reserved.) |
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| ISSN: | 1878-0180 |
| DOI: | 10.1016/j.jmbbm.2025.107157 |