week 4 Flashcards
Frequency (f) -
number of repetitions of a complete oscillation per unit time. Measured in cycles per second, or hertz (Hz).
Period (T) -
time interval between the successive occurrences of a particular phase of an oscillation
Simple harmonic motion, SHM -
type of periodic motion in which the restoring force is proportional to the displacement from the equilibrium position
Hooke’s Law:
Within the elastic limits of a material, the strain is proportional to the stress, i.e., the amount of deformation is proportional to the distorting force.
mechanical properties of different body components begins by
investigating their stress-strain relationships
What we model in stress-strain relationship and what the models are used for?
We model:
• body components’ nonlinear time-dependent properties and
• their time-dependent, viscoelastic properties.
These models are used to:
• understand how bones can bend and
• the occurrence of fractures.
simplest type of passive response -
harmonic or Hookean behavior
Body components can be passive or active:
• Passive components (bones & tendons): respond to outside forces.
• Active elements (muscles), generate forces.
But this division is NOT IDEAL. Muscles are active elements and passive components depending on the situation.
deformation depends
nonlinearly on force or stress
plastic deformation -
for large stresses - irreversible => material never returns to the same size or shape when the stress is removed
Extensive properties change when?
when the size of the object changes
Elasticity -
property by which a body returns to its original size and shape when the forces that deform it are removed
Strain (ε) -
fractional deformation resulting from a stress
elastic limit -
point up to which the object returns to its initial length when the stress is removed (no permanent deformation)
FOR STRESSES BEYOND THE ELASTIC LIMIT
THERE IS PERMANENT OR PLASTIC DEFORMATION
where is yield point and its significance
at a stress higher than the elastic limit, above it much elongation can occur without much increase in the load.
For tension, the material remains intact for larger stresses until
the ultimate tensile stress (UTS)
Fracture is where?
if application of larger stress continues, fracture at point F, at a strain called the ultimate strain or the ultimate percent elongation (UPE)
is ultimate compressive stress (UCS) different from ultimate tensile stress (UTS)?
yes
for ligaments and tendons, there is resistance to
resistance to tension, but not to compression
energy needed to break long bones -
fraction of that available from the kinetic energy in common collisions
why do our bones not regularly break? (2)
because most of the energy is absorbed by:
• muscle contractions and
• the deformation of soft tissues