tribology in orthopaedics - siddharthatrust.com • david tabor (23 october 1913 - 26 november 2005)...
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Tribology In OrthopaedicsDr. Anirudh Sharma M.S. Orthopaedics
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History
• David Tabor (23 October 1913 - 26 November 2005)
• A British Physicist
• Coined the term Tribology
• First recipient of the Tribology Gold Medal
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Introduction
• Science of interacting surfaces in relative motion
• Tribos (Greek) meaning rubbing
• Encompasses Friction, Lubrication, Wear
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Friction
• Resistance to sliding motion between two bodies in contact
• Friction Force (F) ∝ Applied Load (W)
• F = μW (μ is the coefficient of friction)
• F is independent of the apparent contact area
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Contact Area• True contact area is between asperities (1% of the apparent contact
area)
• Asperities deformation ∝ load / surface hardness
• Bonds form at contact points and must be broken to initiate movement
• Thus μs (static coefficient) > μd (dynamic coefficient)
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LubricationSynovial fluid:
• produced by Type B fibroblast-like cells (Type A cells help phagocytosis)
• clear viscous liquid
• made up of proteinase, collagenase, hyaluronic acid, lubricin and prostaglandins
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Synovial fluid (cont.):
• is a dialysate of blood plasma without clotting factors or erythrocytes
• Exhibits non-newtonian flow properties
• Pseudoplasticity = fall in viscosity as shear rate increases
• Thixotropy = time-dependent decrease in viscosity under constant shearing
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Synovial fluid (cont.):
• Functions
• Lubrication
• Cartilage nutrition
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Sommerfeld Number (S)
• S ∝ viscosity × velocity / stress
• Lambda value λ = fluid thickness / surface roughness
• Critical lambda value for reduced friction is ≈3
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• Rougher surface with higher asperities requires a thicker fluid film
• Artificial joints have a lambda value of < 3
• Metal-on-metal and ceramic-on-ceramic approach this value
• As lambda value exceeds 3 the friction starts to increase again
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Types of Lubrication
• 1. Boundary
• 2. Fluid film
• 2.1 Hydrodynamic
• 2.2 Elastohydrodynamic
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Boundary Lubrication• Contact-bearing surfaces separated only by lubricant of molecular
thickness
• Occurs when fluid film has been depleted
• Involves single monolayer of lubricant adsorption on each surface
• Glycoprotein lubricin, found in synovial fluid, is the adsorbed molecule
• Friction is independent of the sommerfeld number
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Fluid film Lubrication
• Separation of surfaces by a fluid film
• minimum thickness exceeds the surface roughness of the bearing surface
• prevents asperity contact
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Hydrodynamic• Non parallel rigid bearing surfaces
• Separated by a fluid film slide tangentially
• Converging wedge fluid forms
• Viscosity within this wedge produces a lifting pressure
• No contact between surfaces and hence no wear
• May occur during the swing phase of gait
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• This model assumes that:
• Surfaces are rigid and non-porous
• The lubricant velocity is constant (newtonian)
• The relative sliding speed is high
• Loads are light
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Elastohydrodynamic Lubrication
• Occurs in non rigid bearing surfaces
• Macroscopic deformation serves to trap pressurized fluid
• This increase surface area which decreases the shear rate
• This increases the viscosity of synovial fluid
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Microelastohydrodynamic Lubrication
• Assumes asperities of articular cartilage are deformed under high loads
• This smoothens out the bearing surface
• Which creates a film thickness of 0.5–1 μm, sufficient for fluid film lubrication
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Squeeze film• Occurs when there is no relative sliding motion
• Pressure builds up as viscous fluid offers resistance to being squeezed
• Lubricant layer becomes thinner and the joint surfaces come into contact
• This mechanism is capable of carrying high loads for short lengths of time
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Boosted Lubrication
• Under squeeze film conditions
• Water and synovial fluid are pressurized into cartilage
• Leaving behind a concentrated pool of hyaluronic acid protein
• This lubricates the surfaces
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Weeping Lubrication
• Articular cartilage is fluid filled, porous and permeable
• It is capable of exuding and imbibing lubrication fluid
• Cartilage generates tears of lubricant fluid by compression of the bearing surface
• The process is thought to contribute to nutrition of the chondrocytes
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Wettability
• Relative affinity of lubricant for another material
• Measured by the angle of contact
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Hydrostatic
• An unnatural system
• Fluid is pumped in and pressure is maintained to reduce surface contact
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Lubrication Mechanisms - Synovial Joints
• No one knows exactly when each type of lubrication comes into play
• Intact synovial joints have a very low coefficient of friction (~0.02)
• Articular cartilage surface is not flat and has numerous asperities
• Kind of lubrication occurring at one time in a synovial joint varies according to the loading conditions
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Wear
• Progressive loss of material from the surface due to relative motion
• Generates further “third body” wear particles
• Softest material is worn first
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Wear Mechanisms• Wear is either chemical (usually corrosive) or mechanical
• Types of mechanical wear include:
• Adhesive
• Abrasive
• Fatigue
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Adhesive Wear• Occurs when junction is formed between two opposing surfaces
• Junction is held by inter-molecular bonds
• This force is responsible for friction
• This junction is responsible for spot welding / transfer
• Steady low wear rate
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Abrasive wear (ploughing)• Occurs when softer material comes into contact with significantly
harder material
• Microscopic counterface aspirates on the harder surface cut and plough through the softer material
• This produces grooves and detaches material to form wear debris
• This is the main mechanism in metal / polymer prostheses
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• Abrasive wear (cont.):
• Third body abrasive wear occurs when extraneous material enters the interfacial region
• Trapped wear debris produces a very high local stress
• This quickly leads to localized fatigue failure and a rapid, varying wear rate.
• Thought to be responsible in part for “backside wear” at “rigid” metal / polymer couplings and other modular interfaces
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Fatigue Wear
• Caused by accumulation of microscopic damage within the bearing material
• Depends on the frequency and magnitude of the applied loads and on the intrinsic properties of the bulk material
• Also dependent on contact stress
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Fatigue wear (cont.):
• Decreased by:
• Conformity of surfaces
• Thicker bearing surface
• Increased by:
• Higher stiffness of material
• Misaligned or unbalanced implants
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Fatigue wear (cont.):
• In TKA the joint is less conforming and the polyethylene more highly stressed
• Delamination: repeated loading causes subsurface fatigue failure
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Corrosive wear
• Mechanical wear may remove the passivation layer
• This allows chemical corrosion to occur
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Fretting wear
• Localized wear from relative motion
• Over a very small range
• Can produce a large amount of debris
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Wear sources in Joint Arthroplasty• Primary articulation surface
• Secondary articulation surface
• backside of modular poly insert with metal
• screw fretting with the metal shell of acetabular liners
• Cement / prosthesis micromotion
• Cement / bone or prosthesis / bone micromotion
• Third body wear
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Linear wear
• Loss of height of the bearing surface
• Expressed in mm / year
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Volumetric wear
• Total volume of material that has been worn away
• Expressed in mm3 / year
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Wear rate• Debris volume; highest in the first year – “wearing in”
• Steady state then achieved (debris volume related to load and sliding distance)
• Accelerated wear occurs at the end of a prosthesis’ life
• Knee Joint, rectilinear sliding generates alignment of the linear polymeric molecules, reduces wear
• Cross-links increase the strength but also increase the brittleness of the polymer
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Head size• Larger the femoral head the greater the sliding distance and
volumetric wear
• Volume of wear debris = πPr2 (P is penetration and r is radius of femoral head)
• Smaller head size decreases the sliding distance and reduces volumetric wear
• Smaller the femoral head the greater the penetration
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Laws of wear• The volume of material (V) removed by wear increases with load (L)
and sliding distance (X) but decreases as the hardness of the softer material (H) increases:
• V ∝ LX / H
• V = kLX
• k = a wear factor for a given combination of materials
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Factors that determine wear
Patient factors
• Weight (applied load)
• Age and activity level (rate of applied rate load)
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Factors that determine wear (cont.):
Implant factors
• Coefficient of friction (lubrication)
• Roughness (surface finish)
• Toughness (abrasive wear)
• Hardness (scratch resistance, adhesive wear)
• Surface damage
• Presence of third bodies (abrasive wear)
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Wear in prosthetic hips• There is a combination of wear and creep
• Creep usually dominates the initial penetration rate
• Majority of the linear penetration after the first year is due to wear
• Direction of creep is superomedial
• Direction of wear is superolateral
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Wear in prosthetic hips:
• Cup penetration can be measured in the following ways:
• By comparison between initial and follow-up radiographs, corrected for magnification
• Shadowgraph technique
• Computer software scan imaging
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Biological effects of wear particles
• Large (micron sized) particles have localized effects at the bone /implant / cement interfaces
• Small (nanometre sized) particles are thought to have the potential for systemic effects
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Local• Particles 0.1–10 μm diameter
• Phagocytosed by macrophages
• Stimulate the release of soluble pro-inflammatory mediators (tumour necrosis factor (TNF), interleukin (IL)-1, IL-6, PGE2, matrix metaloproteinases)
• Mediators released stimulate bone resorption by osteoclasts and impair the function of osteoblasts
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Local (cont.):
Major factors that affect extent of osteolysis are:
• Volume of wear debris >150 mm3 per annum is thought to be the “critical” level
• Total number of wear particles
• Morphology of particles
• Size of particles
• Immune response to the particles
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Systemic• Metal ion release is increased five-fold by metal-on-metal bearing
surfaces
• Metal ions are not phagocytosed
• Controversy surrounds the long-term effects
• Immune sensitization and neoplastic transformation are concerns
• Pseudotumours and metal hypersensitivity leads to early hip revision
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CorrosionCorrosion is reaction of a metal with its environment
• resulting in continuous degradation to
• oxides, hydroxides or other compounds
Passivation
• Oxide layer forms on the alloy surface
• Strongly adherent
• Acts as a barrier to prevent corrosion
• Can be jeopardized by mechanical wear
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Types of corrosion• Uniform attack
• Galvanic
• Crevice
• Pitting
• Fretting (combination of wear and crevice corrosion)
• Intergranular
• Inclusion corrosion
• Leaching corrosion
• Stress corrosion
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Uniform attack
• Most common type of corrosion
• Occurs with all metals in electrolyte solution
• Uniformly affects the entire surface of the implant
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Galvanic
• Two dissimilar metals are electrically coupled together
• An anode and cathode form – in essence a small battery develops as ions are exchanged
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Crevice
• Occurs in a crevice or crack
• Characterized by oxygen depletion
• Tip of the crack cannot passivate due to lack of oxygen
• Accelerated by high concentrations of H+ and Cl–
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Pitting
• Similar to crevice
• Corrosive attacks are more isolated and insidious
• A localized form of corrosion in which small pits or holes form
• Dissolution occurs within the pit
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Fretting corrosion
• Synergistic combination of wear and crevice corrosion
• Relative micro movement forms where the passive layer is removed
• Can cause permanent damage to the oxide layer,
• Particles of metal and oxide can be released from fretting
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Intergranular
• Metals have a granular structure
• Intergranular corrosion occurs at grain boundaries due to impurities
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Inclusion corrosion
• Occurs due to impurities left on the surface of materials
• e.g. metal fragments from a screwdriver
• Similar to galvanic
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Leaching corrosion
• Similar to intergranular corrosion
• Results from electrochemical differences within the grains themselves
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Stress corrosion (fatigue)
• Metals repeatedly deformed and stressed
• In a corrosive environment
• Show accelerated corrosion and fatigue damage
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Ideal implant• Biocompatibility: inert, non-immunogenic, nontoxic, non-carcinogenic
• Strength: sufficient tensile, compressive and torsional strength, stiffness and fatigue resistance
• Workability: easy to manufacture and implant
• Inexpensive
• No effect on radiological imaging
• Corrosion free
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Source: Postgraduate Orthopaedics, Paul A. Banaszkiewicz, FRCS Queen Elizabeth Hospital and North East Surgery Centre, Gateshead, UK
Thank You