Question

Specimens of human cortical bone tissue were subjected to a simple tension test until fracture. The test results revealed a stress-strain diagram shown in the following figure, which has three distinct regions. These regions are an initial linearly elastic region (between 0 and A), an intermediate nonlinear elastoplastic (between A and B), and a final linearly plastic region (between B and C). The average stresses and corresponding strains at points O, A, B and C are measured as: Point Stress o (MPa) Strain € (mm/mm) 0.0 0.005 114 0.010 128 0.026 Using this information, determine the elastic and strain hardenine moduli of the bone tissue in the linear regions of its 0-€ diagram. Note that the strain hardening modulus is the slope of the - curve in the plastic region. Also, find mathematical expressions relating stresses to strains in the linearly elastic and linearly plastic regions. (14 pts) (MP) 150 020 630

Answer 1

elastic behawror; amd Betwren OA the bone ex hi bits line W line E CUwe s a 8 5 X10- 17x 10 Pa 17 GP A-0 E slepe of line 0.005-O A E E' (strain hardu medulus) Eline in plastic Mope af EE 12 8x (0114X1 B o 875 x10 Pa Ec- EB c026-0.010 - 875 MPa 0.875Gla Streo Strair rel. blw OA (tinersty hlaotie gio Strair rdl b/w6 c Stras E(E-E) +