68
1 Basic Biomechanics & lf Biomaterials for Orthopaedic Surgeons Tariq Nayfeh, M.D./Ph.D. Outline Introduction Basic Definitions Joint Mechanics Mechanics of Materials Bending Theory Bending Theory Biomaterials

Tn Bio Mech Color

Embed Size (px)

DESCRIPTION

Tn Bio Mech Color

Citation preview

  • 1Basic Biomechanics & l fBiomaterials for

    Orthopaedic Surgeons

    Tariq Nayfeh, M.D./Ph.D.

    Outline Introductionoduc o Basic Definitions Joint Mechanics Mechanics of Materials Bending Theory Bending Theory Biomaterials

  • 2Why Study Biomechanics and Biomaterials To Pass Exams?

    This area is actually a low yield area for time spent studying and the number of questions asked

    So Why Study It? The basis of all implants and devices we use

    The basis for most trauma we see The basis for most trauma we see The basis for most of our interventions

    Basic Definitions Biomechanics is the science of the o ec a cs s e sc e ce o e

    action of forces, internal or external on the living body.

    Statics is the study of forces on bodies at rest

    Dynamics is the study of the motion Dynamics is the study of the motion of bodies and the forces that produce the motion

  • 3Basic Definitions Kinematics is the study of motion in y

    terms of displacement, velocity, and acceleration with reference to the cause of the motion

    Kinesiology is the the study of human movement and motion

    Principle Quantities Basic Quantitiesas c Qua es

    Length Time Mass

    Derived QuantitiesVelocit (length/time) Velocity (length/time)

    Acceleration (length/time2) Force (mass length/time2)

  • 4Scalars and Vectors Scalar quantities have magnitude Sca a qua es a e ag ude

    but no direction. Time, speed (not velocity), mass, volume

    Vector quantities have magnitude and directionand direction.

    Velocity, Force, Acceleration

    Vectors A vector can be resolved F

    Fy

    into its individual components

    Vectors can be added to form a new vector by adding their components

    Fx

    adding their components or graphically by the parallelogram method

  • 5Moments A moment (torque) is the rotational o e ( o que) s e o a o a

    effect of a force about a point.

    =

    FM

    =d

    M = F x d

    Free Body DiagramsThe forces acting gon a body may be identified by isolating that body part as a free body diagram

    Beer and Johnston, Mechanics of Materials

  • 6Example Free Body Diagrams

    Basic Laws of MechanicsNewtons Laws First Law:

    An object at rest will remain at rest and an object in motion will continue in motion with a constant velocity unless it experiences a net external force

    Inertia is the tendency of an object to either remain at rest or to maintain uniform motion in a straight line

    The weight of a body is a vector quantity that is equal to the force of gravity acting on it

  • 7 By combining the first and second

    Basic Laws of MechanicsNewtons Laws

    y co b g e s a d seco dlaws: For equilibrium to occur the sum of the forces and moments must be equal to zero

    0F 0F

    Basic Laws of MechanicsNewtons Laws Third Law:

    For every action there is an equal and opposite reaction.

  • 8Joint Mechanics How do joints j

    maintain stability? What produces

    joint movement?

    Joint Mechanics Joints are stabilized by the

    ti f th l action of the muscles, ligaments and bony structures.

    The muscles are located at a distance from the joint

    Muscle action produce Muscle action produce moments about the joint center

  • 9Joint Mechanics Joint reaction o eac o

    forces occur at the joint center

    These reaction forces can be greater than the weight of the body segment or the entire body

    Joint Mechanics When the muscle and joint reaction e e usc e a d jo eac o

    forces are balanced equilibrium occurs and the body segments do not accelerate

    When there is an imbalance of forces acceleration (or deceleration) forces acceleration (or deceleration) of the body segment occurs

  • 10

    Illustrative Problem0 xF

    W=20 N

    G= 15 N

    x 0yF

    352015

    0

    BRBR

    WGRB

    0M 0MN 275

    315153020

    030153

    B

    WGB

    N 240R

    Illustrative ProblemHip Reaction forces in single leg p eac o o ces s g e egstance

    Buckwalter, et al. Orthopaedic Basic Science

  • 11

    Illustrative ProblemThis person is trying to lift a 20 kg s pe so s t y g to t a 0 gobject.

    The force from the upper extremities is 450 N

    The estimated moment arm of the upper extremities is Lw = 2cm

    The estimated moment arm of the weight is Lp= 30 cmweight is Lp= 30 cm.

    Mspine = 450x0.02 + 200 x0.30

    Mspine = 69 Nm

    Illustrative ProblemIf the person bends pforward

    Lw = 25 cm Lp = 40 cm

    Mspine = 450x0.25+200x0.4Mspine =192.5 Nm

    Nordin and Frankel, Basic Biomechanics of the Musculoskeletal System

  • 12

    Forces across the hip and knee Hip joint contact forcesp j

    Single leg stance 2 to 3 x BW

    Walking - 3 x BW

    Stairs, running - 5 to 7 x BW

    Knee Tibiofemoral forces Rising from a chair 4 x BW

    Walking 3 x BW

    Stairs Ascent 6 to 7 x BW

    Stair Descent 7 to 8 x BW

    Mechanics of MaterialsIn order to understand how materials o de o u de s a d o a e a s

    behave we need to define some basic quantities.

  • 13

    StressStress is the intensity yof internal force.

    Normal stress are perpendicular to the surface

    Shear stress are parallel

    AF

    Beer and Johnston, Mechanics of Materials

    AO/ASIF

  • 14

    Depending on how you slice the material you can get combinations of stress and sheer

    Beer and Johnston, Mechanics of Materials

    In pure tension or compression

    The plane of maximum shear is at 45 degrees to the axis of loading!!

  • 15

    StrainStrain (Engineering):

    Relative measure of the deformation (six components) of a body as a result of loading.

    LL

    Can be normal or shear

    **A relative quantity with no units. Often expressed as a percent

    Beer and Johnston, Mechanics of Materials

    AO/ASIF

  • 16

    Shear strainUsually expressed as an angle radiansUsua y e p essed as a a g e ad a s

    Beer and Johnston, Mechanics of Materials

  • 17

    Hoop stress

    Hoop stress is the stress in a direction perpendicular to the

    prtpr

    1

    direction perpendicular to the axis of an item

    ***As the thickness of the item decreases the hoop stress

    tpr22

    the hoop stress increases***Why is this important?

    Beer and Johnston, Mechanics of Materials

    Hoop StressAs humans age, the g ,diameter of their bones increase, but the thickness decreases

    We will see later that this change is not bad for ordinary human activity. It matters most when we as surgeons intervene.

  • 18

    Material TestingIn order to characterize how materials o de o c a ac e e o a e a sbehave we have to create standardize methods to test them and document the behavior.

    In the US the ASTM standards are the most widely used

    In Europe the most widely used is the ISO standards

    Materials TestingMaterials of standardized sizes and shapes are pplaced in testing machines and loaded following standardized protocols

  • 19

    Stress-Strain CurvesStandardized curves used to help quantify how a material will respond to a given loadhow a material will respond to a given load.

    AO/ASIF

    Quantities Derived from Stress-Strain Curves Yield Strength: The stress level at which g

    a material begins to deform plastically Ultimate Strength: The stress level at

    which a material fails Modulus of Elasticity: The linear slope

    of the materials elastic stress-strain behavior.behavior.

    Ductility: The deformation to failure Toughness: Energy to failure (the area

    under the stress strain curve)

  • 20

    Elastic vs. Plastic Behavior

    AO/ASIF

    AO/ASIF

  • 21

    Types of failure

    Ductile

    B ittlBrittle

    Elasticity vs. ductility and strength

    All of these materials have the same modulus of elasticity

    But they have different toughness ductilitytoughness, ductility and strength.

    Beer and Johnston, Mechanics of Materials

  • 22

    Force-deformation curves for materials having various combinations of structuralproperties

    Beer and Johnston, Mechanics of Materials

  • 23

    Stiffness

    F

    L

    Unloaded: A=cross section areaE=Youngs modulus of elasticity

    u

    Longitudinal stiffness Sax = EAL

    F = Sax u = SaxuEAL

    Force-Displacement Curves Similar to stress-strain

    curves

    Not a material property, instead a measure of how the entire structure behaves

    Depends onp Material

    Geometry

  • 24

    Force-Displacement Curves

    Buckwalter, et al. Orthopaedic Basic Science

    QuestionThe linear relationship between an applied stress and the resultant deformation defines a material's1- modulus of elasticity.2- brittleness.3- yield strength.4- ultimate strength.5- toughness.

    If the question was changed to applied force, instead of applied stress. The answer would change to stiffness.

  • 25

    Bending of Beams Most bones and orthopaedic os bo es a d o opaed c

    implants are subjected to axial, bending, and torsion loading

    Most failures occur secondary to bending and torsion

    Linear bending theory

    M

  • 26

    Bending Theory Definitions Neutral Axis: The location where a beam

    experiences zero stress (this is a theoretical axis and can actually be located outside of the structure)

    Moment of Inertia: The geometric property of a beam/s cross section that determines the beams stiffnessdetermines the beams stiffness

    There is a bending and a torsion moment of inertia (we will limit our discussion to bending)

  • 27

    on on on

    centricload

    eccentricload

    eccentricload

    ompr

    essi

    onte

    nsio

    ompr

    essi

    onte

    nsi

    ompr

    essi

    onte

    nsio

    co co co

    L o w s t r e s sL o w s t r e s s

    HighstressHighstress

  • 28

    The resistance of a beam to bending

    Bending Resistancee es s a ce o a bea o be d g

    is directly proportional to its moment of inertia

    The moment of inertia depends on its cross sectional area and shapeits cross sectional area and shape

    Bending resistance solid cylinder = / 64 diam4

    Bending resistance of a hollow cylinder= / 64 (outer diam4 inner diam4)( )or for thin shells= / 8 diam3 shell thickness

  • 29

    The bending stiffness of a half pin is e be d g s ess o a a p sproportional to one half the radius of the pin to what power?

    2 3 4 One third One fourth

    Relative bendingresistance

    Solid rod 1

    Flat beam 3.5

    I beam edge on 6Identical size

    ofcross sectional

    areaI beam flat 0.6

    Hollow cylinder 5.3

    Gozna et al. 1982

  • 30

    When the diameter of a spinal instrumentation rod is increased from 4 mm to 5 mm, the rod's ability to resist a bending moment is increased by approximately what percent?1- 10%2- 25%3- 50%4- 100%5- 300%

    46464

    4411 dR

    %10044.1256256625

    445

    56464

    4

    44

    1

    12

    4422

    RRR

    dR

    850Kg. 800Kg. 60Kg. 20Kg.

    Bone-implant composite AO/ASIF

  • 31

    Tension band principle

    A properly done tension band shifts the neutral axis to the surface of the beam so that compression occurs across the entire cross section

  • 32

    Example of tension bands

    Example of tension bands

  • 33

    torque

    shear

    Mechanical Properties of Materials Isotropy Anisotropypy

    Material properties do not depend on direction

    Steel Aluminum

    py Material properties

    depend on the direction of loading

    Bone Tendons Ligaments Cement

  • 34

    Anisotropy Bone is an

    anisotropic material

    Hence failure depends on load direction and loading typeloading type

    Buckwalter, et al. Orthopaedic Basic Science

    Bone MechanicsCortical bone is weakest in directions weakest in directions that cause tensile stresses.

    In the transverse direction the bone isdirection the bone is acting as a brittle material

  • 35

    1. a compression crack begins at the fulcrum.

    Three-point bending produces a predominantly transverse fracture because

    p g2. bone is weaker in tension than in compression.3. bone is weaker in compression than in tension.4. the forces are equally resolved between tension and

    compression.5. the forces are resolved into pure tension.

    Bending forces in the long bones most commonly result in what type of fracture pattern?1- Short oblique2- Transverse with butterfly3- Linear shear of 454- Spiral5- Segmental

    What type of loading is most likely to cause a pure spiral fracture?1- Crush2- Bending3- Tensile4- Compression5- Torsion

  • 36

    AO/ASIF

    Bending forces in the long bones most commonly result in what type of fracture pattern?1- Short oblique2- Transverse with butterfly3- Linear shear of 454- Spiral5- Segmental

    What type of loading is most likely to cause a pure spiral fracture?1- Crush2- Bending3- Tensile4- Compression5- Torsion

  • 37

    A 27-year-old patient sustains the A 27 year old patient sustains the closed femoral fracture shown. This fracture pattern is most likely the result of which of the following forces?

    1. Pure torsion

    2. Pure bending

    3. Pure compression

    4. Four-point bending

    5. Torsion plus bending

    Why are Long Bones Hollow?

    For the same total cross sectional area a hollow tube has higher bending and torsional resistance than a solid tube

    Most bones are loaded in bending and torsion Bone responds to Wolfes law and tries to maximize

    the bone density where stress is highest and minimize it where stress is lowest

    The thinner a bone is the easier it is for nutrients to reach the osteocytes

    Less energy is required to maintain the bone

  • 38

    Clinical QuestionCase 1: A 75 year old female

    with osteoporosis falls and with osteoporosis falls and sustains a supracondylar femur fracture. The patient undergoes ORIF with a locked supracondylar plate. She is allowed to increase her weight bearing to full weight bearing at 6 weeks. Two weeks later she Two weeks later she presents with increasing pain, swelling and can not bear weight.

    Clinical ExampleCase 2: A 75 year old female with Case 5 yea o d e a e

    osteoporosis falls and sustains an intertrochanteric hip fracture. She undergoes ORIF with an intramedulary device and is allowed to weight bear as tolerated the next day Her fracture goes on to heal day. Her fracture goes on to heal without complications.

  • 39

    Clinical ExampleCase 3: An 83 year old male y

    with multiple medical problems presents with severe right hip pain and the inability to bear weight. He had undergone a revision of his right total hip 10 ea s ago to a hip 10 years ago to a cementless stem.

    Clinical CaseWhy did the patient in Case 2 do well y d d e pa e Case do e

    while the patients in Case 1 and Case 3 have their implants fail?

  • 40

    FatigueFatigue testing is done using the same type g g g ypof samples and machines that are used to create stress-strain curves. However, the samples are loaded cyclically to failure. The goal of testing is to determine how many loading cycles at a given load a material can withstand before failing. g

    **The failure stress levels are not the same as the yield stress and ultimate stress.**

    FatigueFatigue testing generated fatigue g g g glife curves.

    Fatigue Endurance Limit The stress level below which a material does not fail (usually must last greater than 10 million cycles)

    Fatigue life The number of cycles that a material can withstand at a given stress level

  • 41

    Fatigue Life

    Endurance Limit

    Fatigue LifeIn a fatigue test, the maximum stress under which the material will not fail, regardless of how many loading cycles are g y g yapplied, is defined as

    1- endurance limit.2- failure stress.3- critical stress.4- yield stress.5- elastic limit.

  • 42

    Bone Fatigue Bone has no in vitro endurance o e as o o e du a ce

    limit! In vivo bone heals If bone fails to heal when subjected

    to cyclic loads we get stress fracturesfractures

    Clinical Examples In Case 1 above the patient was Case abo e e pa e as

    allowed to weight bear before her fracture healed. In this case the stress from walking on the bone resulted in rapid failure with relatively few cycles.

  • 43

    Case 3 The applied stress e app ed s ess

    to the small diameter implant again resulted in fatigue failure of the stem

    Stress ConcentrationWhen a structural member contains a discontinuity such as a hole or a sudden discontinuity, such as a hole or a sudden change in cross section, high localized stresses may occur near the discontinuity.

    Beer and Johnston, Mechanics of Materials

  • 44

    Stress Concentration

    The highest stress gconcentration occurs near a sharp point

    a21

    pny21max

    At higher rates of loading, bone absorbs more energy prior to failure because

    1. the modulus of elasticity decreases.

    2. bone is anisotropic.

    3 bone is viscoelastic3. bone is viscoelastic.

    4. bone deforms plastically.

    5. bone is stronger in compression than in tension.

  • 45

    ViscoelasticityViscoelasticty is a term used to describe ymaterials that demonstrate time-dependant behavior to loading.

    Visco is derived from viscocity (fluid like) Elastic come from elasticity (solid like)

    Most normal temperature metals are elastic Most biologic materials (bone tendon Most biologic materials (bone, tendon,

    ligaments), glass, polymers, and metals at high temperature exhibit viscoelastic behavior

    A simple model for an elastic

    Viscoelasticitys p e ode o a e as c

    material is a simple spring in which instantaneous displacement occurs to an applied load.

    The ene g of The energy of displacement is stored as potential energy and recovered when the load is removed.

    Buckwalter, et al. Orthopaedic Basic Science

  • 46

    Viscous behavior can be modeled as

    Viscoelasticityscous be a o ca be ode ed as

    a dashpot (shock absorber). Deflection occurs in response to the rate of force application

    I thi th In this case the energy produced from loading is dissipated as heat.

    Buckwalter, et al. Orthopaedic Basic Science

    Viscoelastic Behavior is modeled as

    Viscoelasticityscoe as c e a o s ode ed as

    a combination of elastic and viscous materials.

    The energy from loading is partially stored and partially dissipated

    Buckwalter, et al. Orthopaedic Basic Science

  • 47

    The biomechanical properties of ligaments p p gand bone demonstate

    1. a time-dependent behavior.

    2. a rate-independent behavior.

    3. a straight-line load-deformation behavior.

    4. modeling with linear elastic-spring g p gelements.

    5. similar stress-stretch curves.

    At higher rates of loading, bone absorbs more energy prior to failure because1- the modulus of elasticity decreases.2- bone is anisotropic.3- bone is viscoelastic.4- bone deforms plastically.5- bone is stronger in compression than in tension.

  • 48

    The change in strain of a material under a constant load that occurs with time is defined as1- creep.2- relaxation.3- energy dissipation.4- plastic deformation.

    Time

    5- elastic deformation.

    Stress Relaxation Stress relaxation is the decrease of Stress relaxation is the decrease of

    stress with time under constant strain.

    Time

  • 49

    Stress Shielding Wolffs law Wolff s law

    If you dont use it, you lose it!

    Stress shielding occurs when an implant carries most of the stress and effectively unloads the bone

    Examples are the proximal femur with an ingrown implant and loss of bone under a plate.

    Stress Shielding

    Assume the plate is stainless steel with E=190 GPa

    Assume the bone is all cortical bone with E=17 GPa

    Both the bone and the plate must deform the same

    P P

    bb

    b

    p

    ssp

    EE E

    )10( bbpbbppbp

    AAAAPFFP

    AF

    bbb

    pp E

    E 1017190

    )10(10

    )10(

    bpp

    bpb

    AAPAA

    P

  • 50

    In a 77-year-old woman who underwent total hip arthroplasty 10 years ago. What is the predominant cause of the proximal femoral bone loss?

    1. Stress shielding

    2. Polyethylene debris-induced osteolysisosteolysis

    3. Senile osteoporosis

    4. Modulus of elasticity of the femoral stem

    5. Diffuse osteopenia

    Examples of Materials Used for Implants

  • 51

    Which of the following properties is most commonly associated with titanium alloy implants when compared with cobalt-chromium alloys?

    1- Lower elastic modulus

    2- Lower corrosive resistance

    3- Better wear characteristics

    Elastic modulus and ultimate tensile strength of the most common orthopedic biomaterials, listed in order of increasing modulus or strength:3- Better wear characteristics

    4- Lower notch sensitivity

    5- Greater hardness

    ELASTIC MODULUScancellous bone polyethylene PMMA (bone cement) cortical bone titanium alloy stainless steel cobalt-chromium alloy

    ULTIMATE TENSILE STRENGTHULTIMATE TENSILE STRENGTHcancellous bone polyethylene PMMA (bone cement) cortical bone stainless steel titanium alloy cobalt-chromium alloy

    Stainless Steel Used for fracture fixation and spinal p

    implants Most common is 316L Contains chromium, nickel, molybdenum The chromium forms an oxide layer on

    the out side of the implant that acts as a i i t t l d f th corrosion resistant layer and forms the

    stainless quality to it Strong material but can get stress or

    crevice corrosion with time Caused by cracking the Cr-oxide layer with loading

  • 52

    Cobalt-Chromium Alloys There are a number of different alloys used for

    implants depending on what type of manufacturing is used

    Consists mostly of cobalt with chromium added for corrosion resistance

    Like stainless steel the chromium forms a surface oxide layer

    Used for joint replacements, bearing surfaces and occasionally for fracture fixation devices

    Not all Co-Cr is the same and the mechanical properties are a function of which alloy is used and how the alloy is processed

    Titanium One of the most biocompatible metals Very good corrosion resistance

    Resistance is generated by a rapidly formed oxidized layer on its surface and this layer makes the titanium implant more corrosion resistant that Stainless steel or CoCr implants

    Most commonly used alloy is Ti-6Al-4V 6% aluminum and 4% vanadium Initially developed as a high strength to weight ratio material for

    aircraft

    Its modulus of elasticity is around half of that of stainless Its modulus of elasticity is around half of that of stainless steel or CoCr, hence using titanium implants my reduce the stress sheilding

    Very notch sensitive leads to crack formation and decreased fatigue life

    Not a good bearing surface in joint arthroplasty because it gets rough with time

  • 53

    Ceramics Ceramics are materials are inorganic materials formed

    from metallic and nonmetallic materials held together by from metallic and nonmetallic materials held together by ionic and covalent bonds

    Examples include silica, alumina, zirconia

    Mechanical properties are very process dependant and can vary from manufacturer to manufacturer

    Ceramtec a few years ago changed a single step in their process of making femoral heads (they did not change the material) which resulted in fracture of the heads in vivo

    Ceramics are very stiff, very hard, demonstrate very little Ceramics are very stiff, very hard, demonstrate very little wear

    Can be very brittle Very biocompatible if manufactured to a high purity level

    Polymers Polymers are large molecules made from y g

    combinations of smaller molecules Nylon, PMMA, Polyethylene

    Their mechanical and biologic properties depends on their micro and macro-structure

    A polymers molecular weight depends on th b f l l i it h ithe number of molecules in its chains

  • 54

    Polymers

    Buckwalter, et al. Orthopaedic Basic Science

    Polyethylene Semi-crystalline polymery p y Basic momer is CH2 with a molecular

    weight of 28 Its mechanical and wear properties

    depend on its molecular weight, structure, oxidation, cross linking, processing method and sterilizationprocessing method, and sterilization

    **Not all polyethylene is the same**

  • 55

    Highly cross-linked ultra-high molecular weight polyethylene has what effect on tensile and fatigue strength when compared with ultra-high molecular weigth polyethylene?

    1. Increased tensile and fatigue strength

    2. Increased tensile strength and decreased fatigue strength

    3 Decreased tensile and fatigue strength3. Decreased tensile and fatigue strength

    4. Decreased tensile strength and no change in fatigue strength

    5. No change in tensile or fatigue strength

    Crosslinking Crosslinking is done to create larger C oss g s do e o c ea e a ge

    molecular polyethylene molecules that can theoretically be more wear resistant

    There are two common methods for crosslinking g

    Irradiation Free radical generating chemical

  • 56

    Crosslinking

    Lewis, Biomaterials 22 (2001) 371-401

  • 57

    Crosslinking The major problem with crosslinking is that

    ll hi h d f di ti hi h d usually higher doses of radiation which produce the greatest amount of crosslinking also may cause a degradation in the materials mechanical properties. Specifically a decrease in fracture toughness and fatigue strength and life.

    Newer versions of highly crosslinked polyethylene are being released that are being treated by a combination of lower dose radiation treated by a combination of lower dose radiation and post irradiation melting and or annealing. These processes are showing promise for low wear rates and small changes to the mechanical properties of the polyethylene

    Tribology

    The study of Friction, Lubrication, and Wear.

  • 58

    The natural jointElements that influence the e e s a ue ce etribological function of a joint are: The articular cartilage The synovial fluid And to a lesser extent the subcondral

    bone capsule soft tissues and bone, capsule, soft tissues and ligaments.

    Frictionis the resistance to motion that is experienced whenever one solid body experienced whenever one solid body Slides over another

    LOADLOAD

    DIRECTION OF MOTION

    FRICTION FORCE DIRECTION OF MOTION

    FRICTION FORCE

  • 59

    Lubrication.materials applied to the interface to the interface reducing friction and wear.

    Lubrication.

    Lubrication reduces FrictionLubrication reduces Frictionreduces Wear

    Ability of a bearing to support a fluid fil ill i it bl i fl th film will inevitably influence the friction and wear of the bearing surfaces during articulation

  • 60

    Lubrication modesBoundary LubricationHydrodynamic Hydrodynamic Lubrication

    Hydrostatic Lubrication

    STRIBECK CURVE

    Coefficient of Friction

    () BL

    Sommerfeld Number(viscosity x sliding speed x radius / load)

    ML FFL

  • 61

    Boundary Lubrication

    High Friction and Wear

    Boundary Lubrication No pressure build up in the o p essu e bu d up e

    lubricant. Loading is 100% carried by the

    asperities in the contact area. The contact area is protected by

    absorbed molecules of the lubricant absorbed molecules of the lubricant and / or a thin oxide layer.

    The characteristics for boundary lubrication is the absence of Hydrodynamic pressure.

  • 62

    Fluid Film Lubrication

    No Friction or Wear

    Hydrodynamic Lubrication

    Bearings are supported by a thin ea gs a e suppo ed by alayer of fluid which is pulled into the bearing through viscous entrainment, compressed, creating a sufficient hydrodynamic pressure to support load.

    HD h >0.25mEHD h ~0.025m

    - 2.5 m

    h HD h >0.25mEHD h ~0.025m

    - 2.5 m

    h

  • 63

    Generation of fluid filmAs the ball rotates, fluid is drawn into the converging wedge andinto the converging wedge and builds up a pressure which carries the load

    Hydrodynamic Lubrication Pressure builds as speed increases.speed increases. The surface asperities are completely separated by a lubricant film. The load and H d d i Hydrodynamic pressures are in equilibrium.

  • 64

    Hydrostatic LubricationBearings are supported on a thick ea gs a e suppo ed o a cfilm of fluid supplied from an external pressure source.

    hP PhP PP PP P

    Artificial joint surfaces Metal / Ceramic bearing on UHMWPE do / g

    not benefit from fluid film lubrication they operate in a mixed fluid film regime.

    Unavoidable wear results at a rate of approximately 200m of linear penetration per year giving a life expectancy of a 4mm thick cup about 20 expectancy of a 4mm thick cup about 20 years.

    M-on-M and Ceramic on Ceramic perform in a fluid film regime therefore the resultant wear rate is significantly reduced.

  • 65

    Which of the following features improved fluid film lubrication in a metal-on-metal total hip arthroplasty?

    1. Smaller diameter femoral head, a completely congruent fit between the socket and the congruent fit between the socket and the head, and sufficient roughness to allow for some microseparation between the head and socket

    2. Smaller diameter femoral head, a slight clearance between the socket and the head, and no surface roughnessL di t f l h d l t l 3. Larger diameter femoral head, a completely congruent fit between the socket and the head, and minimal surface roughness

    4. Larger diameter femoral head, a slight clearance between the socket and the head, and minimal surface roughness

    5. Larger diameter femoral head, a slight

    Clearance

  • 66

    What is Radial Clearance?

    Radius Cup Radius Cup Radius Cup Radius Cup R2 R2 ---- Radius Radius Head R1Head R1--= Radial = Radial ClearanceClearance

    --Clearance Clearance allows a fluid allows a fluid

    Is there an optimal clearance?

    N l i No one clearance, it is a ratio to head diameter

    The bigger the head gets, the bigger the clearance gets

    We must consider manufacturing capabilities Nominal and Ranges etc

    The lubricant fluid in Vivo

    V ti ht

  • 67

    Effect of clearance with bovine serum all tests to date

    Too tightToo tightToo tight Too tight and too high and too high clearances clearances may end up may end up in high wear in high wear

    t d tt d t

    0

    rates due to rates due to an increase in an increase in frictionfriction

    Does reduced clearance make a difference?

    BOA Manchester 2004 McMinn presented early McMinn presented early results of 20 controlled clearance cases implanted in 2004.

    Radiolucencies observed in superior acetabulum in 10% of acetabulum in 10% of the cases to date.

    Reduced Clearance bearings need further assessment.

  • 68

    24 hour Cobalt output in Regular and low clearance BHR

    Regular BHR vs Controlled Clearance BHRUrine Cobalt Output

    40

    50

    60

    70

    80

    90

    ne O

    utpu

    t g/

    24hr

    Regular BHR

    Low Clearance BHR

    0

    10

    20

    30Urin

    Pre Op 5 day 2 month 6 month 1 year 4 year