Robertson: Biomechanics of Tendon, Bone, Cartilage, and Muscle Flashcards
What is this: direction, magnitude, point of application
force
What is this: rotational force
torque
Equation for torque
Torque = force * distance T = rFsin(theta)
Equation for stress
stress = force/area
Two types of pressure and give an example of each
- solid pressure
ex: 70kg male standing on two feet with 100cm surface surface area for each foot. How much pressure under each foot? 36mPA - fluid pressure
ex: compartment syndrome, blood pressure
This can depict the relationship between the stress and strain that a particular material displays
stress/strain curve
Three ways in which force can be applied to bone
- bending
- torsion (ends twisting in opposing directions)
- compression (longitudinal)
When plotting a curve of deformation vs load, what is the difference between the elastic region and the plastic region?
The elastic region is linear (it has a constant slope). The plastic region is when structural deformation occurs, and the slope of this portion of the curve changes.
This region of the stress/strain curve has a constant slope
elastic region
Two important points on a stress/strain curve
yield point
failure point
This point on the stress/strain curve signals the end of the elastic region, and is the point at which structural changes occur to the specimen
yield stress or yield point
This region on the stress/strain curve begins at the yield point and ends at the ultimate tensile strength. During this time, structural irreversible changes occur to the specimen.
plastic region
*think: plastic can undergo irreversible deformation, elastic does not
What is this: mechanical properties INDEPENDENT of direction of stress. Ex: metal sphere
isotropy
What is this: mechanical properties different in all directions of loading. Ex: typical of most living things.
anisotropy
What is this: mechanical properties symmetric within two planes. Ex: long bone, axial/transverse loading
orthotropy
What is this: cyclic loading leads to smaller differences between loading and unloading curves
hysteresis
What is the yield point?
The point along the strain curve at which you end the elastic response
What is the ultimate stress?
This is the failure point
Explain how brittle material and ductile material differ in terms of what occurs after the yield point.
With a brittle material, the material will fail shortly after the yield point. Yield point and ultimate stress point would be close together. However, with a ductile material, it will not reach its ultimate stress point for a while after the yield point.
What is failure strength?
As you increase number of cycles of loading, you will ultimately regress to fatigue strength.
Functions of bone
dynamic metabolic bank (Ca+, Pi)
protects vital organs (skull, rib cage)
framework for skeletal motions
hematopoiesis
What is the ratio of stress over strain, or the slope of the curve in the elastic region referred to as?
Youngs modulus
What is this: a principle of physics that states that the force needed to extend or compress a spring by some distance is proportional to that distance
Hooke’s law
What is this: bone remodels in response to stress placed on it
Wolff’s law
The proximal and distal ends of the femur are what type of bone? The diaphysis of the femur is what type of bone?
trabecular; lamellar/cortical
Which portion of the femur can bear axial loading and bending.
diaphysis
Which portion of the femur is good for force transmission and hematopoiesis?
proximal/distal ends
Which has a higher yield point: cortical bone or trabecular bone?
cortical bone
Which type of bone can absorb significant energy with minimal mass?
trabecular bone
Is bone strongest under compression or tension?
Strongest under compression, undergoes more of a change under tension
Is bone more resistant to a longitudinal or transverse load? Does bone undergo more of a change under a longitudinal or transverse load?
More resistant to transverse load. Undergoes more of a change under a longitudinal load
What is this: mechanical properties sensitive to strain rate and duration of applied loads
viscoelastic
Bone is (blank) with slow loading, but (blank) with rapid loading
ductile; brittle
What is this: continued deformation of a tissue that is subject to constant stress for an extended time
Creep
What is this: the force necessary to maintain deformation decreases over time.
stress relaxation
Give an example of stress relaxation
Imagine initially using a lot of force to hold a joint straight, but over time, as creep occurs and the fibers stretch, you’ll need less force to keep it straight.
What is this: energy absorbed before ultimate failure
toughness
What is this: ultimate strain substantially larger than yield strain
ductility
Which has more toughness, a brittle fracture or a ductile fracture?
ductile fracture (more energy absorbed before ultimate failure, larger area under the stress/strain curve)
What’s the difference between senile and postmenopausal osteoporosis?
senile affects both males and females and is a reduction in both cortical and trabecular bone; postmenopausal osteoporosis affects subset of females and is a disproportional loss of trabecular bone
In response to aging, what happens to trabecula? Is there more of a reduction in vertical trabecula or horizontal?
reduction in number of trabeculae (greater reduction in vertical trabecula)
reduction in thickness of trabeculae
increase in length of trabeculae
How does loss of bone density affect the modulus (stress/strain curve in elastic region)?
modulus is reduced to a 2:1 ratio, slope equals 2
List ways in which bone responds to aging
Decreases in density
Decreases in cortical thickness
But increase in diameter of diaphysis!!
How do the axial and bending strengths change in response to aging?
axial strengths remain similar, but bending strength increases with age related diaphyseal expansion
Properties of bone
viscoelastic (strain rate/duration affect properties)
strong
tough
ductile or brittle
Bone is strongest during (blank) and weakest in (blank)
compression; tension
Bone volume (blank) with age, but (blank) with disuse
increases; decreases
What happens to trabeculae with aging? What happens to diaphyseal bone?
trabeculae become fewer, longer, less vertical; diaphyseal bone enlarges and increases bending resistance
Tendons have similar organization to a ligament. How do they differ in percentage of collagen? Percentage of ground substance? Longitudinal organization of collagen?
lower percentage of collagen
higher percentage of ground substance
less longitudinal organization of collagen
What’s the ultimate tensile strength of human tendons?
What’s the ultimate strain?
50-105 MPa
9-35%
What does the stress/strain curve look like for tendons? What are the three regions?
Toe region, in which uncrimping of collagen fibers.
Linear region in which slope is elastic modulus.
Failure region which is permanent stretching
T/F: Tendons have rate, time, and history dependent behavior.
True
Do tendons undergo creep? What is…creep?
yes; time dependent elongation of tissue that is under constant force
Do tendons undergo stress relaxation? What is stress relaxation?
yes; time dependent decrease in load when deformation is held constant
What is this: area between loading and unloading curve. Energy loss due to internal friction. Can be given off as heat.
hysteresis
What happens to the hysteresis of a tendon after a few cycles of loading and unloading?
first few cycles of loading and unloading create larger hysteresis, but hysteresis becomes minimal with repetitive loading
4 zones as tendon inserts into bone. What are they?!
Zone 1: parallel collagen fibers
Zone 2: unmineralized fibrocartilage
Zone 3: mineralized fibrocartilage
Zone 4: cortical bone
In real life, tendons load less than (blank)% of ultimate stress
25%
How does tendon strength change with age?
Tendon strength increases to maturity and then is rather constant
In the rabbit study, what happened to failed ligaments in immature rabbits? What happened to failed ligaments in mature rabbits?
in immature rabbits, ligament failed and pulled away with a piece of bone (avulsion)
in mature rabbits, ligament failed mid substance
What happens to your ACL over time?
It gets weaker :(
In the monkey ACL study in which monkeys were immobilized in a body cast, what happened to their strength over a years time?
With immobility ligament substance and ligament bone interface substantially weakened
8 wks immobilization resulted in 40% reduction in strength: one year to return to near normal
What do corticosteroids do to maximum failure load?
After 15 wks, can reduce maximum failure load by 20%
How does estrogen affect collagen production? What’s a clinical application of this?
reduces it; during pregnancy, pubic symphysis becomes relaxed
What happens to tendons when ya have diabetes?
They become weaker
Are bone ligament bone auto grafts useful?
After about three years, only about 1/2 as strong as initial ligament strength
Tendons and ligaments are (blank)
viscoelastic
The in vivo strain rate for tendons and ligaments is far below the (blank)
ultimate failure load
Severe negative mechanical effects are the result of (blank) of tendons/ligaments. Increase in mechanical strength with activity is not linear.
immobilization
Do reconstructed tendons/ligament grafts reach native strength?
No
What’s this: muscle shortens against a constant load, muscle tension remains
isotonic contraction
What’s this: muscle contracts at constant velocity.
isokinetic contraction
What’s this: muscle length remains static as tension is generated.
isometric contraction
What’s this: muscle contracture with decreasing muscle length.
concentric contraction
What’s this: muscular contraction with increase in resting length. Resisting load is greater than muscle contraction force.
eccentric contraction
What type of training increases oxidative capacity of type I fibers? What type of training increases cross sectional area of type II fibers?
endurance training; resistance training
Articular cartilage is subject to high (blank) loads applied statically, cyclically, and repetitively over many years
compressive
Properties of cartilage
must be fatigue resistant and tough
soft, permeable
65-80% water
biphasic: solid and fluid phase
Three portions of cartilage architecture
superficial (tangential fibers)
middle (oblique)
deep (radial fibers - perpendicular)
What does it mean that cartilage undergoes biphasic creep, or flow-dependent rate of creep?
rate of creep is governed by rate fluid is forced out of tissue
Biphasic creep of cartilage is dependent on (blank) of tissue and stiffness of porous material
permeability
What’s the coefficient of friction in human joints?
0.002 to 0.004
Cartilage load bearing is (blank) and cartilage has (blank) dependent creep
biphasic; flow
What occurs in cartilage where fluid film has been depleted?
boundary lubrication