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    BIOMECHANICS OF DENTAL

    IMPLANTS

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    CONTENTS

    Introduction

    Loads applied to dental implants

    Mass, orce and !ei"#t

    Forces and components o orces

    T#ree t$pes o orces

    Stress

    Stress%strain relations#ip

    Bitin" orces

    Predictin" orces on oral implants

    Stiness o teet# and implant

    Models or predictin" orces on prost#esis supported &$teet# and implants

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    Force deli'er$ and ailure mec#anism

    Moment loads

    Clinical moment arms

    Fati"ue ailure

    T#e &iomec#anical response to loadin"

    A scientiic rationale or dental implant desi"n

    C#aracter o t#e applied orces

    Functional surace area

    Biomec#anics o rame!or(s and misit

    Treatment plannin" &ased on &iomec#anical ris( actors

    Conclusion

    List o reerence

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    LOADS APPLIED TO DENTAL IMPLANTS

    In function occlusal loads

    Absence of function Perioral forces

    Horizontal loads

    Mechanics help to understand such physiologic and non

    physiologic loads and can determine which t/t renders more risk.

    MASS, FO)CE AND *EI+HT

    Mass A property of matter is the degree of gra!itational attraction

    the body of matter e"periences.

    #nit kgs $ %lbm&

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    FO)CE -SI) ISAAC NE*TON ./012

    'ewton(s II law of motion

    ) * ma

    +here a * ,.- m/s

    Mass etermines magnitude of static load

    )orce 0ilograms of force

    *EI+HT

    Is simply a term for the gra!itational force acting on an

    ob1ect at a specified location.

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    FO)CES AND FO)CE COMPONENTS

    Magnitude duration direction type and magnification

    23ector 4uantities(

    irection dramatic influence

    5reak down of 6 forces into their component parts 7

    2!ector resolution(

    Point of action of a !ector3ECTO)

    F/ ) Magnitude )

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    ) * 88.9 ' at pt 5

    Analysis 7 !ector resolution

    :o7ordinate system

    Angles that the ) !ector makes with co7ordinate a"es

    resolution of ) into its 6 components is possible

    i.e. )" )y ; )z

    ) * )

    " < )

    y < )

    z

    :os" < :osy < :osz * =

    >ateral as well as !ertical components are acting at the same

    time

    'ot ?? to direction of long a"is of implant

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    3ector addition4 More than one force F)5 F.6 F76 F8

    MOMENT 9 TO):;E

    @end to rotate a body #nits '.m '.cm lb.ft oz.in

    E" 4

    In addition to a"ial force there is a moment on the implant which is

    e4ual to magnitude of force times %multiplied by& the perpendicular

    distance %d& between the line of action of the ) and center of theim lant

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    TH)EE T

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    @ensile Bhear

    Pull ob1ect apart Bliding

    istract / disrupt bone implant interface

    Bhear most destructi!e cortical bone is weakest

    :ylinder implants highest risk for shear forces

    re4uire coating

    @hreaded / finned implants

    Impart all 6 force types

    Ceometry of implant

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    ST)ESS

    @he manner in which a force is distributed o!er a surface is

    referred as mechanical stress

    5 F9A

    D!en distribution of mechanical stress in the implant system and

    contiguous bone

    Force ma"nitude

    Eeducing magnifiers of force

    =. :antile!er length

    . :rown height

    6. 'ight guards

    8. Fcclusal material

    9. F!erdentures

    Functional cross sectional area

    =. 'umber of implants

    . Implant geometry

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    DEFO)MATION = ST)AIN

    Applied load deformation

    eformation and stiffness of implant material

    Interface

    Dase of implant manufacture

    :linical longe!ity

    :oncept of strain key mediator of bone acti!ity

    Implant

    @issue

    Btrain * deformation per unit length

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    ST)ESS ST)AIN )ELATIONSHIP

    >oad !ersus deformation cur!e stress 7 strain cur!e

    Prediction of amount of strain e"perienced by the material underan applied load.

    In stress

    In stiffness difference Eelati!e motion

    Interface is more affected

    3iscoelastic bone can stay in contactwith more rigid titanium more

    predictably when the stress is low

    Modulus of elasticity

    tnalpmI >biologic tissue

    >esser the relati!e motion

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    ST)AIN

    :ontrolling applied stress :hanging density of bone

    Btrength Btiffness

    Creater the strength stiffer the bone

    >esser the stiffness greater the fle"ibility %soft bone&

    ifference in stiffness is less for :p@i ; =bone but more for 8bone

    Btress reduction in such softer bone

    @o reduce resultant tissue strain

    #ltimate strength

    Hook(s law

    Btress * Modulus of elasticity " strain*

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    BITIN+ FO)CES

    A"ial component of biting forces $ %=GG 9GG '& / % 99G lbs&

    It tends to increase as one mo!es distally

    >ateral component 7 G ' %appro".&

    'et chewing time per meal * 89G sec

    :hewing forces will act on teeth for * , min/day

    If includes swallowing * =.9 min/day

    )urther be increased by parafunction

    Pro!ides minimum time /day that teeth %implants& are bearing load

    due to mastication and related e!ents

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    P)EDICTIN+ FO)CES ON O)AL IMPLANTS

    Pro&lems 4

    @o compute the loading on the indi!idual supporting abutment

    More than two implant supporting prosthesis

    COMPLICATIN+ FACTO)S

    Nature o mastication

    :hewing fre4uency

    se4uence

    5iting strength

    fa!oured side

    Mandibular mo!ements

    Nature o Prost#esis

    )ull / partial

    @issue supported

    3s

    Implant supported

    'o. ; location

    Angulation

    Properties

    Dlastic moduli

    Btiffness

    :onnection

    eformability

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    T!o implants supportin" a cantile'er portion o a prost#esis

    P * )orce

    a * :antile!er length

    b * ist. 5etween two implants

    If beam is in static e4uilibrium sum of forces and sum ofmoments are zero.

    )y * G 7)=< ) P * GmJ* G 7)=b < Pa * G

    Here )= * %a/b&P ) * %= < a/b& P

    In most clinical situations a/b * .

    Bo )= * P and ) * 6P

    'ewton(s 6rdlaw of motion

    Implant compressi!e load Implant =tensile load

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    FO;) IMPLANTS S;PPO)TIN+ A F)AME*O)?

    -B)ANEMA)? S

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    5ridge and bone are rigid

    Implants and/or their connections to bridge and/or bone elastic

    Purely !ertical force Purely horizontal force

    :ounterbalanced by distribution of ' no. of implants so there

    will be both !ertical and horizontal forces on each implant

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    8 or K implant symmetrically distributed in the arc of ==.9G

    with radius of mandible at .9 mm

    Arc of ==.9G* interforaminal dist. %appro"&

    Bingle !ertical force of 6G' acts at a position defined by * =GG

    %Bo how to predict the !ertical forces on each implant&

    F 8 N Ma"nitude o orce is >>>

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    )orces on remaining 8 implants become much larger than in

    original K implant case

    :ondition can be worsened if 8 implants are placed in a line acrossthe anterior mandible.

    As ratio a/b is !ery large as b %interimplant distance& is !ery

    small.

    Implant angulation.

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    Implant = at 6GGangulation.

    Fffa"is loading detrimental to the system.

    :annot be sol!ed by Bkalak or Eangert model.

    )inite element modelling or analysis.

    Properties of the prosthesis

    Positioning and angulation of implants

    Properties of interfacial bone can be accounted to )D

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    S(ala( modle

    Prosthesis is infinitely rigid

    Acrylic and metal alloy bridge fle"ible

    :oncentrating forces on the implants nearest to loading point

    #ne4ual stiffnesses

    Btiffest implant will generally take up most of the load

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    STIFFNESS OF TOOTH AND IMPLANT

    Prosthesis supported by teeth and implants.

    'either Eangert nor Bkalak model specifically deal with

    differencing mobility

    A way to approach this problem is

    =. isplacement in any direction

    #nidirectional force but displacement in many direction

    Becondary effect

    . Application of constant force

    Increase in displacement slowly with time

    :reep

    'ot significant with implants

    6. Intrusi!e tooth displacement is not always >inear usually bilinear

    8. 'et stiffness L natural tooth

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    P)OSTHESIS S;PPO)TED B< TEETH AND IMPLANTS

    #se of )DA

    :oncept of IMD

    e"4) * =GG '

    'atural tooth * 6G when paired with an implant without IMD

    * 6- when IMD is incorporated

    Eationale for use of IMD

    Dffecti!eness in clinical situations ha!e to be checked

    Eangert et al

    D4ual sharing of forces by tooth and implant so need for IMD

    in an osseointegrated implant is 4uestionable.

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    FO)CE DELI3E)< AND FAIL;)E MECHANISM

    Manner of application of force

    Moment loads

    Interface breakdown

    5one resorption

    Bcrew loosening

    5ar / bridge fracture

    Clinical moment arms

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    72 Cantile'er len"t#

    3ertical a"is force components

    >ingual force component

    )orce applied directly o!er the implant

    8 or K implant case

    D"act cantile!er length

    76 premolars

    K instead of 8 implants

    A7P spread

    A7P spread the resultant load

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    MISCH

    Amount of stress applied to system

    Cenerally

    istal cantile!er not be L .9 times of A7P spread

    Patients with parafunction not to be restored by cantile!er

    B4uare arch form 7 A7P spread 7 cantile!er

    @apered arch form largest A7P spread largest cantile!er

    design.

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    FATI+;E FAIL;)E

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    FATI+;E FAIL;)E

    D$namic c$clic loadin" condition

    .2 Biomaterials

    A plot of applied stress !s no. of loading cycles

    High stress few loading cycles

    >ow stress infinite loading cycles

    Dndurance limit

    @i alloy L :p@i.

    72 +eometr$

    Eesists bending and tor4ue

    >ateral loads fatigue fracture

    8thpower of the thickness difference

    Inner and outer diameter of screw and abutment screw space

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    82 Force ma"nitude

    Eeduction of applied load 7 %stress&

    Higher loads on posteriors

    Moment loads

    Ceometry for functional area

    'o. of implants

    2 Loadin" c$cles

    'o. of loading cycles

    Dlimination of parafunction

    Eeduce occlusal contacts

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    BIOMECHANICAL )ESPONSE TO LOADIN+

    High degree of !ariation as a function of load direction rate and

    duration

    irection of load

    Ort#otropic Isotropic Trans'ersel$ isotropic

    MandibleArch of it ha!ing stiffest direction orientation

    >ong bone molded into a cur!e beam

    Primary loads * occlusal N )le"ural

    Inferior border more compact bone

    Inter forminal part increase 4uality of trabecular bone

    )ATE OF LOADIN+

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    )ATE OF LOADIN+

    McDlhaney strain rate dependence

    Higher strain rate stiffer and stronger

    5one fails at higher strain rate but with less allowable

    elongation

    5rittle

    Duration o loadin"

    2:arter and :aler(

    :reep %time7dependent loading& < cyclic / fatigue loading

    Anatomic location and structural density also has got influence

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    ANATOMIC LOCATION

    Ddentulous mandible @rabecular bone continuous with cortical

    shell

    )DM cortical bone dissipation of occlusal loads

    Attention to trabecular bone mechanical properties

    Muscle loads on mandible orso!entral shear twisting

    trans!erse

    Anterior mandible large moment loads buccolingal fle"ure

    Posterior mandible higher bite force

    ensity and ultimate compressi!e strength %

    &

    >arge multirooted molars

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    :u et al K9 higher stiffness for trabecular bone of mandible

    when bounded by cortical plates

    Structural densit$:u et al Mechanical properties of mandibular trabecular bone

    I.e. Dlastic modulus and ultimate strength.

    8 7 K- L in anterior compared to posterior

    Premolars * molars.

    Scientiic rationale or dental implant desi"n

    @ransfer of load to surrounding biologic tissue. @wo factors are

    =& :haracter of applied load & )unctional surface area

    :haracter of forces applied to dental implant

    Magnitude duration type direction and magnification

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    FO)CE MA+NIT;DE

    A2 P#$siolo"$ 's desi"n 4

    >imits magnitude of force for a engineered design

    )unction of anatomic region and state of dentition

    Parafunction L Molar L :anine L Incisors

    =GGG lb GG lb =GG lb 9769 lb

    density forces

    B2 Bi t i l l ti

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    B2 Biomaterial selection 4

    Bilicone HA carbon High biocompatibility

    >ow ultimate strength

    @itanium and its alloy D"cellent biocompatibility

    :orrosion resistance

    Cood ultimate strength

    :losest appro". to stiffness of bone

    K times more stiff

    C2 Failures 4

    3itreous carbon implant AlF6 ceramic implant

    Modulus of elasticity #ltimate strength

    #ltimate strength Modulus of elasticity

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    FO)CE D;)ATION

    A2 P#$siolo"$ 's desi"n

    uration of bite force

    Ideal condition O 6G min/day

    Parafunction se!eral hours

    B2 Implant &od$ desi"n

    Dndurance limit = times O ultimate tensile strength

    )atigue more critical especially in parafunction

    Fff a"is cyclic loading

    5ending loads in buccolingal plane

    Eoot form implant not specifically designed to withstand

    cyclic bending loads.

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    :omponents moment of inertia

    Apical e"tension of the abutment screw within the implant

    body

    :rest7module around an abutment screw

    %FE&8 %IE&8

    Bmall

    in wall thickness is significant

    F by G.= mm 66 in strength

    I by G.= mm G in strength

    Prosthesis / coping screw moment of inertia

    Bcrew breakage long term ad!antage

    )ailure Morgan et al

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    FO)CE T

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    TH)EADED IMPLANTS

    5uttress comparable to 37shaped

    37shaped =G times greater shear %s4uare / power&

    :aution in 6and 8bone

    Failure

    Bmooth shear surface inade4uate load transfer

    3%s#apedSGuareButtress

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    FO)CE DI)ECTION

    A2 P#$siolo"$

    Positioning of root form implants suitable for a"ial loading

    #ndercuts further limit

    #sually occur on facial aspect e"cept

    Bubmandibular fossa

    Angled to the lingual

    5one is strongest when loaded along its long a"is.

    6GG offset load $ == compressi!e

    9 tensile

    B2 Implant &od$ desi"n

    3ulnerable crestal bone region

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    FO)CE MA+NIFICATION

    D"treme angulation

    Parafucntion

    :antile!ers and crown heights le!ers

    Indication for

    functional surface area

    ensity strength

    8bone =G times weaker than =bone

    @hus resultant force will be magnified when placed in softer

    bone

    D"ceeds the capability of anydental implant

    S;)FACE A)EA

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    S;)FACE A)EA

    'ormal anatomy limits size and configuration

    Bone 'olume -eternal arc#itecture2

    Anatomic location and degree of bone resorption

    *idt# 4 K7- mm in anterior8 mm implant

    L mm in posteriors 9 mm implants

    Implant widthanterior to posterior

    Hei"#t 4

    Anterior mandible L anterior ma"illa L post mandible L post ma"illa

    Hence

    occlusal forces

    in bone heightBone Gualit$ -internal arc#itecture2

    69 failure rate in 8 bone

    Poor 4uality porous bone 7 ed clinical failure

    'o. of implants design with greater surface area

    S;)FACE A)EA OPTIMIATION

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    S;)FACE A)EA OPTIMIATION

    Implant macro"eometr$ 4

    Bmooth sided cylindrical implants Dase in surgical placement

    Creater shear at interface

    Bmooth sided tapered implants

    :omponent of compressi!e force@aper

    @aper O 6GG

    @hreaded implants

    Dase of surgical placement

    Creater functional surface area compressi!e loads

    >imits micro7mo!ement during healing

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    IMPLANT *IDTH

    5ranemark 6.9 mm

    Implant width 7 functional surface area

    8 mm implant 66 greater surface area

    iameter appropriate to ridge width

    @eethK = mm

    Bimilar implant width bending resistanceinade4uate

    strain to boneresorption

    :restal bone anatomyless than 9.9 mm

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    TH)EAD +EOMET)