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● Basic Concepts/Definitions
● Biomechanics of Intact/Healing Bone
● Biomechanics of Fracture
● Bone Healing
● Biomechanics of Implants: Avoiding
problems
Forces Acting on Long Bones
● Force is a vector
(magnitude with direction)
● Moment: Force acting on
a bone causing rotation
● Moment Arm: lever that
force acts on (some
distance away from center
of rotation)
Basic Forces Causing Fracture
● Compression
● Tension
● Transverse Loading
● Torsion
Forces On Healing Fx
● Tension
● Compression
● Shear
● (Bending)
Forces Acting on Construct
● Stress = Force/(Area
force is acting on)
= (normalized force)
● Strain = (Change in
Ht)/(Original Ht)
● Elastic Modulus =
Stress/Strain
= measure of stiffness
Deformation
● Elastic = if load is
removed material returns to
original shape
● Plastic = residual
deformation after load
removed
● Yield Point = load when
plastic deformation takes
place
● Work = Force x (distance
of bending)
● Toughness = Amt of work
req to Fx material
Implant Shape
● Moment of Inertia:
further away material
is spread in an object,
greater the stiffness
● Stiffness and strength
are proportional to
radius4
Fatigue
● Cyclic Loads below failure level  progressive
cracks  failure
● Stress Concentrator = radical change in shape
● Galvanic Corosion = Flow of electrons from (-) to
(+) in 2 dissimilar materials in conductive fluid
● Fretting = rubbing of 2 surfaces together
(removing oxidative layer)
● Crevice Corrosion = impurities in material
Crevice Stress
Fretting Galvanic
Viscoelasticity
● Increased resistance with
increased loading rate
● Creep = under constant load
soft tissue will continue to
gradually deform
● If compressive force is applied
slowly, syringe offers little
resistance
● Increased rate of force,
increased resistance to rate of
motion of syringe
Viscoelasticity
● Stress Relaxation: Applied
force with constant
displacement  Decrease in
internal force as resistance
decreases
– resistance decreases as fluid is
forced from syringe
● Trabecular Bone: Trabecular
structure acts as elastic
component, Interstitial fluid
thru porous matrix is viscous
component
– Under higher loading rate there
is resistance to flow thus
increased internal pressure thus
increased stiffness of bone
Biomechanics Intact/Healing Bone
● Hierarchical structure
– Collagen embedded with
apatite
– Decreased modulus with
decreased apatite:collagen
ratio
● Fibrils organized to resist
force
– Fibers organized into
lamellae
– Concentric Lemellae make an
Osteon
Strength/Stiffness
● Strength proportional to
density2
● Modulus proportional to
density(2 to 3)
● Age: increased modulus,
bending strength from child
to adult, then decrease
● Holes/defects weaken bone
(round better than square)
● Strength proportional to
diameter4
Biomechanics of Bone Fx
● Weakest in Tension,
Strongest in
Compression
● Pure Bending 
Transverse Fx
● Torsion  Spiral
Fx
● Shear  Oblique
Fx
● Butterfly due to Bend
+ Shear
● Smaller cross section of
bone fails 1st (distal 1/3 of
tibia)
● Osteoperosis
– decreased density of
trebecular bone
– decreased endosteal
thickness of cortical bone
Bone Healing
● Direct
– Primary bone healing
– Cutting cones
– Seen with absolute stability
● Indirect
– Secondary bone healing
– Callus formation; resorption at fx site;
– Seen with relative stability
Indirect Stages:
● Inflammation
– 1-7 days
● Soft callus
– 3 weeks
● Hard callus
– 3 – 4 months
● Remodeling
– months => years
● Preload > external load => absolute
stability!
● External load > preload => relative stability!
● External load >> preload => frank
instability!!
Relative Stability
● Motion between fracture fragments that is
compatible with fracture healing.
● Motion is below the critical strain level of tissue
repair.
● Promotes indirect bone healing!
● Examples:
– IM nails
– Bridge plate
– External Fixator
Absolute Stability
● Compression of two anatomically reduced
fracture fragments.
● No displacement of the fracture under
functional load.
● Promotes direct bone healing!
● Examples:
– Lag screw
– Plate => compression, buttress, neutralization
– Tension band
Biomechanics of Implants:
Avoiding Problems
● Cerclage Wire: strength proportional to
diameter
– Solid wire sensitive to scratch/notch (cable
better)
– Optimal # of turns 4-8 when twisted
Screw fixation
● Rotary forces  compression between
objects (inclined plane on spiral pulls object
toward head)
● Four part construction: head, shaft, thread,
tip
● Thread defined by root diameter, thread
diameter, pitch
Screws
● Larger core diameter has
higher resistance to fatigue
& shear failure
– 4th power of the diameter
● Pullout strength (maximum
force screw can support along
its axis)
– outer diameter, length of
engagement, shear
strength/density of bone
Screws
● Tapping
– increase compressive forces,
decrease interface friction
● Cyclic Loading: If plate is
not tight enough to bone
– Force transferred to long axis
of screw
– Stress corrosion of plate
rubbing
Plates & Bending failure
● Leaving gap opposite plate
makes it a fulcrum
● increased stress at holes
● avoid holes over fracture sites
● greater the span between
screws
– less stiff
– more bending
Prebending
Femoral Nail
● Contact Forces expand
femur (hoop stresses)
may cause it to split if
too large
● Starting hole: too
medial, too anterior
● Initial curve of IM rod,
rod stiffness
Femoral Nail
● Distal Fx:
– Longer moment arm of external force
thus greater bending moment in rod
– Greatest area of stress in rod (Fx site)
is near screw holes (stress riser)
– Locking screw supported only by
cortices
● Stiffness & strength to bend decrease with
length3
● Possible to nick border of rod hole
w/ screw  accentuate fatigue
Ex-Fix
● Self-tapping pins  local heat 
thermal necrosis & microcracking
(thus corrosion/fatigue)
● Pin Micromotion  bone
resorption at interface
– Undersize hole 0.1 mm  decr
micromotion
– Undersize >0.3 mm  incr
microcracking
Ex-Fix
● Deformation of Pin or Side Bar
– Stiffness & Strength proportional to diameter4
– Stiffness & Strength inversely proportional to lenght3
● To increase strength:
– Decrease sidebar to bone distance
– Increase pin diameter
– Put pins closer to fracture
– Increase # of sidebars
– Bury pin thread completely within cortex
● Add Sidebar at 90 degree plane also resist torsion
Test Questions
Intramedullary Nails
● “Internal Splint”, Load Sharing
● Nail itself should resist bending and torsion
● The bone should resist axial loading
● Strength => wall thickness, diameter, and
material
● stiffness => 4th power of the diameter
● Type of fracture –transverse, oblique, or
complex determines some stability
Intramedullary Nails
● Working length is area that spans fracture
between points of fixation.
● In bending, stiffness inversely proportional
to square of length
● Torsional rigidity is inversely proportional
to length
Intramedullary Nails
● Gripping strength is resistance to slipping at
bone-implant interface. Increased by
increasing cortical contact.
● Nail can twist or slip with torsional loading
which allows angulation
Intramedullary Nails
interlocking
● Dynamic fixation controls bending and
rotation, but allows axial loading
● Static locking controls bending, rotation,
and axial loading
Intramedullary Nails
interlocking
● femoral splitting
● starting point
● length of proximal
fragment
● initial curvature
● stiffness
● distal fracture=> longer
moment arm
● fracture site to distal
locking screw distance
< 4cm
● screw breakage in
distal fracture

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Biomechanics of Fracture and Fixation Justice 10.3.2005 (1).pptx

  • 1.
  • 2. ● Basic Concepts/Definitions ● Biomechanics of Intact/Healing Bone ● Biomechanics of Fracture ● Bone Healing ● Biomechanics of Implants: Avoiding problems
  • 3. Forces Acting on Long Bones ● Force is a vector (magnitude with direction) ● Moment: Force acting on a bone causing rotation ● Moment Arm: lever that force acts on (some distance away from center of rotation)
  • 4. Basic Forces Causing Fracture ● Compression ● Tension ● Transverse Loading ● Torsion
  • 5. Forces On Healing Fx ● Tension ● Compression ● Shear ● (Bending)
  • 6. Forces Acting on Construct ● Stress = Force/(Area force is acting on) = (normalized force) ● Strain = (Change in Ht)/(Original Ht) ● Elastic Modulus = Stress/Strain = measure of stiffness
  • 7. Deformation ● Elastic = if load is removed material returns to original shape ● Plastic = residual deformation after load removed ● Yield Point = load when plastic deformation takes place ● Work = Force x (distance of bending) ● Toughness = Amt of work req to Fx material
  • 8. Implant Shape ● Moment of Inertia: further away material is spread in an object, greater the stiffness ● Stiffness and strength are proportional to radius4
  • 9. Fatigue ● Cyclic Loads below failure level  progressive cracks  failure ● Stress Concentrator = radical change in shape ● Galvanic Corosion = Flow of electrons from (-) to (+) in 2 dissimilar materials in conductive fluid ● Fretting = rubbing of 2 surfaces together (removing oxidative layer) ● Crevice Corrosion = impurities in material
  • 11. Viscoelasticity ● Increased resistance with increased loading rate ● Creep = under constant load soft tissue will continue to gradually deform ● If compressive force is applied slowly, syringe offers little resistance ● Increased rate of force, increased resistance to rate of motion of syringe
  • 12. Viscoelasticity ● Stress Relaxation: Applied force with constant displacement  Decrease in internal force as resistance decreases – resistance decreases as fluid is forced from syringe ● Trabecular Bone: Trabecular structure acts as elastic component, Interstitial fluid thru porous matrix is viscous component – Under higher loading rate there is resistance to flow thus increased internal pressure thus increased stiffness of bone
  • 13. Biomechanics Intact/Healing Bone ● Hierarchical structure – Collagen embedded with apatite – Decreased modulus with decreased apatite:collagen ratio ● Fibrils organized to resist force – Fibers organized into lamellae – Concentric Lemellae make an Osteon
  • 14. Strength/Stiffness ● Strength proportional to density2 ● Modulus proportional to density(2 to 3) ● Age: increased modulus, bending strength from child to adult, then decrease ● Holes/defects weaken bone (round better than square) ● Strength proportional to diameter4
  • 15. Biomechanics of Bone Fx ● Weakest in Tension, Strongest in Compression ● Pure Bending  Transverse Fx ● Torsion  Spiral Fx ● Shear  Oblique Fx ● Butterfly due to Bend + Shear
  • 16. ● Smaller cross section of bone fails 1st (distal 1/3 of tibia) ● Osteoperosis – decreased density of trebecular bone – decreased endosteal thickness of cortical bone
  • 17. Bone Healing ● Direct – Primary bone healing – Cutting cones – Seen with absolute stability ● Indirect – Secondary bone healing – Callus formation; resorption at fx site; – Seen with relative stability
  • 18. Indirect Stages: ● Inflammation – 1-7 days ● Soft callus – 3 weeks ● Hard callus – 3 – 4 months ● Remodeling – months => years
  • 19. ● Preload > external load => absolute stability! ● External load > preload => relative stability! ● External load >> preload => frank instability!!
  • 20. Relative Stability ● Motion between fracture fragments that is compatible with fracture healing. ● Motion is below the critical strain level of tissue repair. ● Promotes indirect bone healing! ● Examples: – IM nails – Bridge plate – External Fixator
  • 21. Absolute Stability ● Compression of two anatomically reduced fracture fragments. ● No displacement of the fracture under functional load. ● Promotes direct bone healing! ● Examples: – Lag screw – Plate => compression, buttress, neutralization – Tension band
  • 22. Biomechanics of Implants: Avoiding Problems ● Cerclage Wire: strength proportional to diameter – Solid wire sensitive to scratch/notch (cable better) – Optimal # of turns 4-8 when twisted
  • 23. Screw fixation ● Rotary forces  compression between objects (inclined plane on spiral pulls object toward head) ● Four part construction: head, shaft, thread, tip ● Thread defined by root diameter, thread diameter, pitch
  • 24. Screws ● Larger core diameter has higher resistance to fatigue & shear failure – 4th power of the diameter ● Pullout strength (maximum force screw can support along its axis) – outer diameter, length of engagement, shear strength/density of bone
  • 25. Screws ● Tapping – increase compressive forces, decrease interface friction ● Cyclic Loading: If plate is not tight enough to bone – Force transferred to long axis of screw – Stress corrosion of plate rubbing
  • 26. Plates & Bending failure ● Leaving gap opposite plate makes it a fulcrum ● increased stress at holes ● avoid holes over fracture sites ● greater the span between screws – less stiff – more bending
  • 28. Femoral Nail ● Contact Forces expand femur (hoop stresses) may cause it to split if too large ● Starting hole: too medial, too anterior ● Initial curve of IM rod, rod stiffness
  • 29. Femoral Nail ● Distal Fx: – Longer moment arm of external force thus greater bending moment in rod – Greatest area of stress in rod (Fx site) is near screw holes (stress riser) – Locking screw supported only by cortices ● Stiffness & strength to bend decrease with length3 ● Possible to nick border of rod hole w/ screw  accentuate fatigue
  • 30. Ex-Fix ● Self-tapping pins  local heat  thermal necrosis & microcracking (thus corrosion/fatigue) ● Pin Micromotion  bone resorption at interface – Undersize hole 0.1 mm  decr micromotion – Undersize >0.3 mm  incr microcracking
  • 31. Ex-Fix ● Deformation of Pin or Side Bar – Stiffness & Strength proportional to diameter4 – Stiffness & Strength inversely proportional to lenght3 ● To increase strength: – Decrease sidebar to bone distance – Increase pin diameter – Put pins closer to fracture – Increase # of sidebars – Bury pin thread completely within cortex ● Add Sidebar at 90 degree plane also resist torsion
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41.
  • 42.
  • 43. Intramedullary Nails ● “Internal Splint”, Load Sharing ● Nail itself should resist bending and torsion ● The bone should resist axial loading ● Strength => wall thickness, diameter, and material ● stiffness => 4th power of the diameter ● Type of fracture –transverse, oblique, or complex determines some stability
  • 44. Intramedullary Nails ● Working length is area that spans fracture between points of fixation. ● In bending, stiffness inversely proportional to square of length ● Torsional rigidity is inversely proportional to length
  • 45. Intramedullary Nails ● Gripping strength is resistance to slipping at bone-implant interface. Increased by increasing cortical contact. ● Nail can twist or slip with torsional loading which allows angulation
  • 46. Intramedullary Nails interlocking ● Dynamic fixation controls bending and rotation, but allows axial loading ● Static locking controls bending, rotation, and axial loading
  • 48.
  • 49. ● femoral splitting ● starting point ● length of proximal fragment ● initial curvature ● stiffness
  • 50. ● distal fracture=> longer moment arm ● fracture site to distal locking screw distance < 4cm ● screw breakage in distal fracture

Editor's Notes

  1. Moment affected not only by magnitude of force, but also distance from center of rotation
  2. Compression shortens Tension elongates Torsion causes tensional strain Transverse loading causes compression and tension
  3. Stress removes shape/size Strain measures deformation Elastic modulus = stiffness  higher modulus is stiffer (less flexible) Structural properties = properties of fixation + bone Material properties = properties of individual material
  4. Elastic range is “working range” of device 2 most important factors of a device are Yield point and Stiffness (Elastic Modulus) Material may have different stiffness or yield under forces in different directions Work = Area under force displacement curve May be flexible and tough or Stiff but brittle
  5. Stress Concentrators = screw holes, where thread meets shank on a screw, scratches=Stress Riser - Round hole less of change than sharp corner of square hole
  6. A = crevice corrosion (impurity) B = Stress Corrosion = fatigue + galvanic (b/w oxidative layer and underlying material) C = Fretting = Rubbing of screw on hole D = Galvanic in scratch/pit in plate
  7. Metal materials under constant load deform immediately and then remain deformed until load is removed Think of stretching soft tissue as stretching 2 components: Spring – immediate elasticity of tissue (immediately compresses) Syringe – syringe plunger displaces as it moves fluid thru orrifice (viscous creep)
  8. Callus increases apatite as fracture heals Initial callus disorganized becomes more organized Fibers weakest when force is parallel with cement lines
  9. As defect increases to 30% of diameter strength decreses to 50% of intact bone As diameter increases in callus, strength increases with diameter4 As callus develops, mineralization, organization, density, and diatmeter all increase thus increased strength and stiffness
  10. Tension Side fails 1st Torsion: Progressive failure in elongation/tension of fibers on surface Shear: compressive load in diagonal (bone is weaker in diagonal than pure compression) Pure Compression: comminution of metaphysis (trebecular bone of metaphysis weaker than cortical bone of diaphysis(less dense))
  11. Strength proportional to density squared Decresed thickness  decreased moment of inertia
  12. Inflammation: -hematoma/inflmmatory exudate from ruptured blood vessels -bone necrosis at fracture ends -vasodil/hyperemia surrounding soft tissue -ingrowth of capillariescell prolif (PMN, macrophage, fibroblasts) -fibrin/reticulin fibril network -granulation replaces hematoma, osteoclasts remove necrotic bone Soft: -fragments no longer freely moving -stability adequate to prevent shortening, angulation can still occur -incr vascularity, capillary ingrowth, cells -new bone starts subperiosteally -chondroblasts appear in callus b/w bone fragments Hard: -soft callus is converted by enchondral ossification & intramembranous bone formation -bony callus starts at areas remote from Fx (mechanically idle), progresses toward Fx -Enchondral ossification periosteally & Intramembranous bone formation periosteally & endosteally -Bony bridging at periphery of callus & endosteal bone Remodelling: -begins once Fx is solidly united -lasts until completely returned to original morphology -woven bone slowly replaced by lamellar bone
  13. Large strain  granulation tissue Intermediate strain  cartilage Small strain  direct bone formation with limitted callus
  14. Tapped: 65% torque creates compression, Untapped: 5% compression Not tapping cancellous bone improves pullout strength: tapping removes material (cancellous bone is already porous)
  15. 10-15% less force than max screw tightnessfails <1000 cycles (nl is 2.5 million cycles)
  16. Place on tension side
  17. Distal locking screw gets no support from trabecular bone  3 point bending of screw  increased moment arm for longer screw
  18. Ring Fixators – same principles