Tibia shaft (Harden 2021)¶

Validation model information¶

• Performed by: Elena Weissenbacher, Nico Erlinger
• Reviewed by: Corina Klug

Added to VIVA+ Validation Catalog on: 2022-11-31

Last modified: 2023-11-23

Model version (this notebook run for): 0.3.2

The Jupyter notebooks are licensed under Creative Commons Attribution 4.0 International License

Experiments by Harden et al. (2021)¶

Harden, A.; Kang, Y. S.; Hunter, R.; Bendig, A.; Bolte, J.; Eckstein, N.; Smith, A.; Agnew, A. 2021. Preliminary Sex-specific Relationships between Peak Force and Cortical Bone Morphometrics in Human Tibiae Subjected to Lateral Loading. In Proccedings of the IRCOBI Conference 2021, Online. http://www.ircobi.org/wordpress/downloads/irc21/pdf-files/2133.pdf

Summary¶

Five female and five male isolated tibiae were subjeted to four-point bending.

Information on the subjects/specimens¶

Test number	Sex	Donor age [yr]	Mechanical span [mm]
Tib-001	M	64	191
Tib-002	M	63	188
Tib-003	M	77	166
Tib-004	F	84	161
Tib-005	F	86	161
Tib-006	F	102	160
Tib-007	M	73	165
Tib-008	M	74	183
Tib-009	F	85	162
Tib-010	F	89	148

Loading and Boundary Conditions¶

A constant impactor velocity of 6 m/s was prescribed. Mechanical span of the potting was adjusted to experimental data for each simulation.

Experimental responses¶

The force-time history plots published by Harden et al. (2021) were digitised with WebPlotDigitizer v4.4 (https://automeris.io/WebPlotDigitizer).

Results¶

Impactor force plots¶

Plot strain-time histories¶

Engergy-time plots¶

ISO18571 objective rating for force-time histories¶

	Simulation	Corridor	Phase	Magnitude	Slope	Overall
0	Tib-001	0.678	0.9	0.742	0.34	0.668
1	Tib-002	0.637	0.767	0.635	0.676	0.67
2	Tib-003	0.714	0.833	0.898	0.599	0.752
3	Tib-004	0.722	0.9	0.718	0.598	0.732
4	Tib-005	0.757	0.833	0.824	0.607	0.756
5	Tib-006	0.69	0.8	0.813	0.532	0.705
6	Tib-007	0.646	0.9	0.741	0.655	0.718
7	Tib-008	0.753	0.967	0.91	0.705	0.818
8	Tib-009	0.601	0.733	0.712	0.491	0.628
9	Tib-010	0.63	0.833	0.432	0.573	0.619

Quasistatic simulations¶

Strains at time of experimental peak force¶

	MPS	PS99
0	0.01051	0.00864
1	0.01461	0.01300
2	0.01536	0.00981
3	0.00915	0.00819
4	0.01040	0.00925
5	0.01578	0.01404
6	0.01753	0.01436
7	0.01319	0.01141
8	0.01531	0.01362
9	0.00835	0.00752

Fracture risk curve¶

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MPS
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PS99
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