Phycological
Methods 
Quantifying Material Properties
An extensometer (also called an Instron or tensometer)
exerts a force on an object while recording deflection (deformation) using
a strain gage. Strain gages indicate deflection by measuring electrical
resistance through a small metal beam attached to your sample. As the
length of the beam increases, electrical resistance increases. This setup
allows measurement of a sample's stiffness, extensibility and strength
at breaking.
Extension Ratio =Extensibility =l =Final
Length/ Initial Length = Lf / L0
Young's Modulus =Stiffness = E = Slope
of Stress/Strain Curve = = E = Slope of Stress/Strain Curve =s
/ e

The steeper the stress/strain relationship
(the higher Young's Modulus, E), the more stiff the material. Breaking
strain and stress are the amounts of strain and stress observed at the
breaking point. The more ductile the material, the more strain at breakage;
the stronger the material, the higher the breaking stress.
Ductile materials will deform more than stiff
materials before breaking; however, ductile materials are not usually
as strong a stiff materials. Compare, for example, a brittle object, say
beach glass, and a ductile object, perhaps a rubber chicken. Glass may
be strong (high breaking stress) but it is not ductile (low strain (i.e.,
little deformation) at breaking). A rubber chicken extends quite a bit
before it breaks (long live rubber chickens) but can not withstand as
much stress.
Complications
This discussion only covers linearly elastic
materials for which stress and strain are directly proportional. Most
materials are only linearly elastic for low stresses and strains. Strain
hardening, necking and plastic (unrecoverable) deformation are just
some of the other interesting processes which complicate analyses of material
properties. Since failure must occur through the process of crack propagation,
you might want to consider how irregularities in a material may promote
or slow crack growth. (See Stressed
Out in 3-D.)
Back to Material
Properties
copyright Elizabeth Nelson, Judith Connor
1999, 2000 Non-profit
educational uses permitted.
Last updated: Jan. 05, 2005
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