What is the elastic modulus of cortical bone?
The elastic modulus values of emu cortical bone ranged from 5.62 GPa to 19.83 GPa (Table 1), with an average of 13.05 GPa and a standard deviation of 3.94 GPa. Yield stress values ranged from 50.5 MPa to 191.3 MPa, with an average of 113.1 MPa and a standard deviation of 29.2 MPa.
How do you calculate elastic modulus?
Modulus =(σ2 – σ1) / (ε2 – ε1) where stress (σ) is force divided by the specimen’s cross-sectional area and strain (ε) is the change in length of the material divided by the material’s original gauge length.
Do bones have elastic modulus?
The actual values for the Young’s modulus of bone, compared to collagen and hydroxyapatite, are shown in the table below….Modulus.
| Material | Young’s Modulus, E (GPa) |
|---|---|
| Bone mineral (Hydroxyapatite) | 80 |
| Cortical bone, longitudinal | 11-21 |
| Cortical bone, transverse | 5-13 |
How do you calculate Young’s modulus compression?
Calculate the tensile stress you applied using the stress formula: σ = F / A . Divide the tensile stress by the longitudinal strain to obtain Young’s modulus: E = σ / ϵ .
What is the elastic region of a long bone?
The area under the linear portion of the load-deformation (or stress-strain) curve is called the elastic region because the structure will return to its original shape when the load is removed, elastically returning most of the energy required for deformation.
What is the density of bone kg m3?
about 1900 kg/m3
Density of Bone
| Bibliographic Entry | Result (w/surrounding text) |
|---|---|
| Cameron, John R.; James G. Skofronick & Roderick M. Grant. Physics of the Body. Second Edition. Madison, WI: Medical Physics Publishing, 1999: 96. | “The density of compact bone is surprisingly constant through out life at about 1900 kg/m3” |
How do you calculate section modulus from bending moment?
Table of contents: How to calculate section modulus from the moment of inertia. Plastic section modulus: beyond elastic section modulus….The elastic section modulus formula of a rectangle is S = bd²/6 , where:
- S — Section modulus;
- b — Height of the rectangle; and.
- d — Base or width of the rectangle.
What is the formula of bulk modulus of elasticity?
What is the formula of bulk modulus? K = Δp * 1/ΔV/V = -pV/ΔV. This is the formula of bulk modulus of elasticity.
How is cortical bone formed?
Cortical bone and trabecular bone are normally formed in a lamellar pattern, in which collagen fibrils are laid down in alternating orientations (3). Lamellar bone is best seen during microscopic examination with polarized light, during which the lamellar pattern is evident as a result of birefringence.