10.2 Definition of Mechanical Properties of Biological Materials
339
a ~(mum}uuum06x
~
~
~
b
(j
o~~--------------------------~
linear elastic
E
elastic
plastic
c
(j
B
residual strain
III
Fig. 10.1: Stresses and strains in a prismatic bar: a bar in compression and tension,
b stress-strain diagram for elastic material, and c for partly elastic material
17 = E E,
(10.2)
where E is the constant of proportionality known as the modulus of elasticity. As strain, E, is a non-dimensional quantity, modulus of elasticity has the
same units as stress, 17, namely N 1m 2 (or Pa).
Equation (10.2) is commonly known as Hooke's law, named after the English
scientist Robert Hooke (1635-1703) who investigated the elastic properties of
materials. A large number of materials that exhibit a linear relationship (see
Eq. 10.2) are known as a Hookean materials. The modulus of elasticity, E, is
339
a ~(mum}uuum06x
~
~
~
b
(j
o~~--------------------------~
linear elastic
E
elastic
plastic
c
(j
B
residual strain
III
Fig. 10.1: Stresses and strains in a prismatic bar: a bar in compression and tension,
b stress-strain diagram for elastic material, and c for partly elastic material
17 = E E,
(10.2)
where E is the constant of proportionality known as the modulus of elasticity. As strain, E, is a non-dimensional quantity, modulus of elasticity has the
same units as stress, 17, namely N 1m 2 (or Pa).
Equation (10.2) is commonly known as Hooke's law, named after the English
scientist Robert Hooke (1635-1703) who investigated the elastic properties of
materials. A large number of materials that exhibit a linear relationship (see
Eq. 10.2) are known as a Hookean materials. The modulus of elasticity, E, is