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Biomechanics comprises all kinds of interactions between tissues and organs of the body and the forces acting on them. Biomechanics comprises the response of the biologic tissues to the applied loads.
The basic principles of biomechanics must be respected when doing oral implants (or) else the case may fail. The primer of oral implant biomechanics should familiarize the clinician with key issues to be confronted when using oral implants.
To a large extent, the biomechanical consideration for implants follows simple mechanical rules based on the leverage principles. By considering the patient's functional behaviour, limiting the extension of the prosthesis and controlling the occlusal pattern and contacts, possible overload situations can be minimized.
2. CONTENTS
Introduction
Definition of Biomechanics, Mass, force and weight
Loads applied to dental implants
Forces and components of forces
Three types of forces
Stress
Stress-strain relationship
Biting forces
Predicting forces on oral implants
Stiffness of teeth and implant
3. Force delivery and failure mechanism
Moment loads
Clinical moment arms
Fatigue failure
The biomechanical response to loading
A scientific rationale for dental implant design
Character of the applied forces
Functional surface area
Biomechanics of frameworks and misfit
Treatment planning based on biomechanical risk factors
Conclusion
List of reference
4.
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7. MASS, FORCE AND WEIGHT
Mass – A property of matter, is the degree of gravitational attraction
the body of matter experiences.
Unit – kg : (lbm)
FORCE (SIR ISAAC NEWTON 1687)
Newton’s II law of motion
F = ma
Where a = 9.8 m/s2
Mass – Determines magnitude of static load
Force – Kilograms of force (Newton)
WEIGHT
Is simply a term for the gravitational force acting on an object
at a specified location.
8. LOADS APPLIED TO DENTAL IMPLANTS
In function – occlusal loads, vary in magnitude,
frequency, duration depending on parafunctional habits
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.
9. FORCES AND FORCE COMPONENTS
Forces may be described by magnitude, duration, direction,
type and magnification
Forces on implant -‘Vector quantities’
(magnitude & direction)
Direction – dramatic influence
(longevity)
Break down of 3D forces into their component parts -
‘vector resolution’
Point of action of a vector
VECTOR
F / F Magnitude F
10. F = 44.5 N at pt B
Analysis - vector resolution
Co-ordinate system
Angles that the F vector makes with co-ordinate axes,
resolution of F into its 3 components is possible
i.e. Fx, Fy & Fz
F = F2
x + F2
y + F2
z
Cos2
θx + Cos2
θy + Cos2
θz = 1
Lateral as well as vertical components are acting at the same
time
Not || to direction of long axis of implant
11. Vector addition : More than one force FR = F1 + F2 + F3
MOMENT / TORQUE
Tend to rotate a body Units – N.m; N.cm, lb.ft ; oz.in
Eg :
In addition to axial force, there is a moment on the implant which is
equal to magnitude of force times (multiplied by) the perpendicular
distance (d) between the line of action of the F and center of the
implant
12. THREE TYPES OF FORCES
Compressive
Tend to push masses towards each other
Maintains integrity of bone – implant interface
Accommodated best
Cortical bone strongest in Comp
Cements, retention screws, implant components and bone –
implant interfaces – well acc Comp F
Dominant
13. Tensile Shear
↓ ↓
Pull object apart Sliding
Distract / disrupt bone implant interface
Shear – most destructive, cortical bone is weakest
Cylinder implants – highest risk for shear forces
require coating
Threaded / finned implants
Impart all 3 force types
Geometry of implant
14. STRESS
The manner in which a force is distributed over a surface is
referred as mechanical stress
γ = F/A
Goal - Even distribution of mechanical stress in the implant
system and contiguous bone
Force magnitude
Reducing magnifiers of force
1. Cantilever length
2. Crown height
3. Night guards (bruxism)
4. Occlusal
material( impact)
5. Overdentures (night)
Functional cross sectional area
1. Number of implants
2. Implant geometry
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16. DEFORMATION & STRAIN
Applied load – deformation
Deformation and stiffness of implant material
Interface
Ease of implant manufacture
Clinical longevity
Concept of strain – key mediator of bone activity
Implant
Tissue
Strain = deformation per unit length
17. STRESS – STRAIN RELATIONSHIP
Load – versus – deformation curve; stress - strain curve
Prediction of amount of strain experienced by the material under
an applied load.
↑In stress
↓
↑ In stiffness difference
↓
↑ Relative motion
↓
Interface is more affected
Viscoelastic bone can stay in contact
with more rigid titanium more
predictably when the stress is low
Modulus of elasticity
tnalpmI | biologic tissue
↓
Lesser the relative motion
18. STRAIN
Controlling applied stress Changing density of bone
Strength Stiffness
Greater the strength stiffer the bone
Lesser the stiffness greater the flexibility (soft bone)
Difference in stiffness is less for CpTi & D1 bone but more for D4
bone
Stress reduction in such softer bone
To reduce resultant tissue strain
Ultimate strength
Hook’s law
Stress = Modulus of elasticity x strain
γ = E.ε
19. BITING FORCES
Axial component of biting forces : (100 – 2500 N) / (27 – 550 lbs)
It tends to increase as one moves distally
Lateral component - 20 N (approx.)
Net chewing time per meal = 450 sec
• Chewing forces will act on teeth for = 9 min/day
• If includes swallowing = 17.5 min/day
• Further be increased by parafunction
Provides indication of minimum time /day that teeth (implants) are
bearing load due to mastication and related events
20. PREDICTING FORCES ON ORAL IMPLANTS
Problems :
To compute the loading on the individual supporting abutment
when more than two implant supported prosthesis
COMPLICATING FACTORS
Nature of mastication
•Chewing – frequency
sequence
•Biting – strength
favoured side
•Mandibular movements
Nature of Prosthesis
•Full / partial
•Tissue – supported
Vs
Implant – supported
•No. & location
•Angulation
Properties
•Elastic moduli
•Stiffness
•Connection
•Deformability
21. Two implants supporting a cantilever portion of a prosthesis
P = Force
a = Cantilever length
b = Dist. Between two implants
If beam is in static equilibrium – sum of forces and sum of
moments are zero.
Σ Fy = 0 ; -F1 + F2 – P = 0Σ mQ = 0; -F1b + Pa = 0
Here, F1 = (a/b)P F2 = (1 + a/b) P
In most clinical situations a/b = 2.
So, F1 = 2P and F2 = 3P
Newton’s 3rd
law of motion
Implant 2 compressive load Implant 1 tensile load
22. FOUR IMPLANTS SUPPORTING A FRAMEWORK
(BRANEMARK SYSTEM)
LIMITATIONS
1. Does not predict forces on all 4 implants
2. Overestimation of loads on 2 implants close to the point of F
3. Based on theory of rigid body statics
‘Skalak model’
Can predict the vertical and horizontal force components on
implants supporting a bridge
23. • Bridge and bone are rigid
• Implants and/or their connections to bridge and/or bone elastic
Purely vertical force Purely horizontal force
Counterbalanced by distribution of N no. of implants so, there
will be both vertical and horizontal forces on each implant
24. • 4 or 6 implant – symmetrically distributed in the arc of 112.50
with radius of mandible radius to 22.5 mm
• Arc of 112.50
= interforaminal dist. (approx)
• Single vertical force of 30N acts at a position defined by θ = 100
(So, how to predict the vertical forces on each implant)
F< 30 N Magnitude of force is |||
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26. • Forces on remaining 4 implants become much larger than in
original 6 implant case
• Condition can be worsened if 4 implants are placed in a line across
the anterior mandible.
• As, ratio a/b is very large as b (interimplant distance) is very
small.
• Implant angulation.
27. Implant 1 at 300
angulation.
Offaxis loading – detrimental to the system.
Cannot be solved by Skalak or Rangert model.
Finite element modelling or analysis.
Properties of the prosthesis
Positioning and angulation of implants
Properties of interfacial bone can be accounted to FE
28. Skalak modle –
• Prosthesis is infinitely rigid
• Acrylic and metal alloy bridge – flexible
Concentrating forces on the implants nearest to loading point
• Complicated if implant system - unequal stiffnesses
as stiffest implant will generally take up most of the load
29. STIFFNESS OF TOOTH AND IMPLANT
Prosthesis supported by teeth and implants-different mobility
Neither Rangert nor Skalak model specifically deal with
differencing mobility
A way to approach this problem is
1. Displacement in any direction
• Unidirectional force but displacement in many direction
• Secondary effect
2. Application of constant force
• Increase in displacement slowly with time
↓
Creep
Not significant with implants – fibrous tissue
3. Intrusive tooth displacement is not always Linear
– usually bilinear
4. Net stiffness (implants) > natural tooth
30. FORCE DELIVERY AND FAILURE MECHANISM
Manner of application of force – dictates the failure
Moment loads
Interface breakdown
Bone resorption
Screw loosening
Bar / bridge fracture
Clinical moment arms
31. 1) Occlusal height
Working and balancing occlusal contacts
Tongue thrusts, perioral musculature
Force component along vertical axis – no effect
Initial moment load at crest
↓ In div A ↑ Div C and D
↑ Crown height
Faciolingual axis Mesiodistal axis
32. 2) Cantilever length
Vertical axis force components-large moments
Lingual force component - also exists
Force applied directly over the implant–no moment
33. OCCLUSAL WIDTH
↑ Moment arm for any offset occlusal load
Narrow occlusal table - ↓ faciolingual tipping
Moment loads Crestal bone loss
Increases occlusal height
Occlusal ht. moment arm
↑ Faciolingual micro
rotation or rocking
More crestal bone loss
Failure if biomechanical
environment is not
corrected
34. FATIGUE FAILURE
Dynamic cyclic loading condition
1) Biomaterials
High stress – few loading cycles
Low stress – infinite loading cycles
Endurance limit-stress level below which-loaded indefinetly
Ti alloy > CpTi.
2) Geometry
Dictates degree - resists bending and torque
Lateral loads – fatigue fracture
4th
power of the thickness difference
Weak link – Difference inner and outer diameter of screw and
abutment screw space
35. 3) Force magnitude
Reduction of applied load - (stress)
Higher loads on posteriors
Moment loads - eliminate
Geometry for functional area - optimize
Increase No. of implants
4) Loading cycles
Fatigue failure - No. of loading cycles
Elimination of parafunction
Reduce occlusal contacts
36. BIOMECHANICAL RESPONSE TO LOADING
High degree of variation as a function of load – direction, rate and
duration
Direction of load
Orthotropic Isotropic Transversely isotropic
Mandible (transversly isotropic) Arch of it having stiffest
direction orientation
Mandible acts - long bone molded into a curve beam
Inferior border more compact bone
Inter forminal part – increase quality of trabecular bone
37. RATE OF LOADING
McElhaney – strain rate dependence of bone
Higher strain rate, bone acts – stiffer and stronger
Also noted, bone fails at higher strain rate, but with less
allowable elongation when compared to lower strain rate
Brittle
Duration of loading
‘Carter and Caler’- # caused by mechanical stress
Creep (time-dependent loading) + cyclic / fatigue loading
Anatomic location and structural density also has got influence
38. ANATOMIC LOCATION
Edentulous mandible – Trabecular bone continuous with cortical
shell
FEM show – cortical bone – dissipation of occlusal loads
Muscle loads on mandible – Dorsoventral shear, twisting,
transverse
Anterior mandible – large moment loads – buccolingal flexure
Posterior mandible – higher bite force
Density and ultimate compressive strength of posterior trabecular
bone (↓)
Large, multirooted molars – dissipate occlusal loads
39. Qu et al – 65% higher stiffness for trabecular bone of mandible
when bounded by cortical plates
Structural density
Qu et al – Mechanical properties of mandibular trabecular bone i.e.
Elastic modulus and ultimate strength.
47% - 68% > in anterior compared to posterior
Premolars = molars.
Scientific rationale for dental implant design
Transfer of load to surrounding biologic tissue. Two factors are
1) Character of applied load 2) Functional surface area
Character of forces applied to dental implant depend on ----
Magnitude, duration, type, direction and magnification
40. FORCE MAGNITUDE
A) Physiology vs design :
Normal physiology - Limits magnitude of force for a
engineered design
Magnitude of forces -----
Parafunction > Molar > Canine > Incisors
1000 lb 200 lb 100 lb 25-35 lb
↓ density ↓ forces
41. B) Biomaterial selection :
Silicone, HA, carbon – High biocompatibility
Low ultimate strength
Titanium and its alloy – Excellent biocompatibility
Corrosion resistance
Good ultimate strength
Closest approx. to stiffness of surgical bone substitutes
6 times more stiff
C) Failures :
Vitreous carbon implant Al2O3 ceramic implant
Modulus of elasticity Ultimate strength
Ultimate strength Modulus of elasticity
42. FORCE DURATION
A) Physiology vs design
Duration of bite forces on the dentition has wide range
Ideal condition < 30 min/day
Parafunction – several hours
B) Implant body design
Endurance limit 1 ½ times < ultimate tensile strength
Fatigue – more critical especially in parafunction
Off axis, cyclic loading – failure of implant
Root form implant – not specifically designed to withstand
cyclic bending loads.
43. FORCE TYPE
A) Physiology
Bone – Strongest in compression
30% weaker in tensile
65% weaker in shear
Endosteal root-form implants – pure shear - unless
Incorporation of surface features to transform shear
to resistant forces
B) Implant body design
Smooth cylinder - Titanium / HA
Integrity of interface - shear strength of HA-to-bone bond
44. THREADED IMPLANTS
Buttress comparable to V-shaped
V-shaped 10 times greater shear (square / power)
Caution in D3 and D4 bone
Failure
Smooth shear surface implant – inadequate load
transfer
V-shaped
SquareButtress
45. FORCE DIRECTION
A) Physiology
Constraint - Positioning of root form implants suitable for axial loading –
anatomy of jaws
Undercuts – further limit
Usually occur on facial aspect except
Submandibular fossa
Angled to the lingual
Bone is strongest when loaded along its long axis.
300
offset load : 11% ↓ compressive st.
25% ↓ tensile
B) Implant body design
Vulnerable crestal bone region – designed to place perpendicular to
occlusal plane
46. FORCE MAGNIFICATION
Extreme angulation
Parafucntion
Cantilevers and crown heights – levers
Density α strength
D4 bone 10 times weaker than D1 bone
Thus resultant force will be magnified when placed in softer
bone
Exceeds the capability of any
dental implant to withstand
physiologic loads
47. SURFACE AREA
Normal anatomy of jaws – limits size and configuration
Bone volume (external architecture)
Anatomic location and degree of bone resorption
Width : 6-8 mm in anterior 4 mm implant
> 7 mm in posteriors 5 mm implants
↑ Implant width anterior to posterior
Height :
Anterior mandible > anterior maxilla > post mandible > post maxilla
Hence, ↑ occlusal forces ↓ in bone height
Bone quality (internal architecture)
35% failure rate in D4 bone
Poor quality, porous bone - ↑ed clinical failure
No. of implants, design with greater surface area - stress
48. SURFACE AREA OPTIMIZATION
Implant macrogeometry :
Smooth sided cylindrical implants
Ease in surgical placement
Greater shear at interface
Smooth sided tapered implants
Component of compressive force delivered to the bone-implant
interface.
Taper - delivery of force
Taper < 300
Threaded implants
Ease of surgical placement
Greater functional surface area – compressive loads
Limits micro-movement during healing
49. IMPLANT WIDTH
Branemark – 3.75 mm
↑ Implant width - ↑ functional surface area
4 mm implant 33% greater surface area
Diameter appropriate to ridge width
Teeth width 6 – 12 mm
Similar implant width bending resistance inadequate
strain to bone resorption
Crestal bone anatomy constraints less than 5.5 mm width
implant
50. THREAD GEOMETRY
Parameters – thread pitch, shape and depth
Thread pitch
Number of threads per unit length
Fine pitch ↑ threads ↑ surface area / unit length
Fewer threads easy to bone tap
51. Thread shape
V-thread design – ‘fixture’ – fixating metal parts and not for
load transfer
Buttress thread optimized for – pullout loads
52. Thread depth
= Major diameter – minor diameter
Conventional implant – uniform
Can be varied in the region of highest stress – increase functional surface
area
Reverse taper in minor diameter
Increased depth
Dramatic ↑ in functional surface area
53. IMPLANT LENGTH
Length ↑ - total surface area ↑
If longer implants used
Need for – nerve repositioning – mandible
Sinus graft – maxilla
Does not benefit the primary regions of increased stress –
crestal bone region
Greater stability under lateral loading
Not necessarily better
Minimum implant length – for each bone density depending on
the width & design
Softer bone – greater the length suggested
54. CREST MODULE CONSIDERATIONS
Transosteal region from the implant body and characterized as
a region of highly concentrated mechanical stress
Not ideally designed for load bearing
Smooth parallel sided crest module – shear
Angled crest module ( > 200
) surface texture – lead
to compressive component
55. CREST MODULE : Slightly larger than outer diameter
Reasons ---
Crest module seats fully over the implant body
osteotomy – deterrent to ingress of bacteria &
fibrous tissue
Seal created by larger crest module – provides
greater initial stability of the implant
surface area - stress at crestal region.
56. APICAL DESIGN CONSIDERATION
Most root form implants – circular
Do not resist torsional / shear forces (single tooth implant)
Antirotational feature – hole or vent
Flat sides or grooves along the body or apical region
Apical end should be flat instead of pointed
Advantages Disadvantages
Bone can grow in and resist
torsional forces
Increases surface area
May fill with mucus or
fibrous tissue
57. BIOMECHANICS OF FRAMEWORKS AND MISFIT
Frameworks :
Metal framework for full arch prosthesis can fracture
More towards the cantilever section
Reasons :
1) Overload of cantilever
Unlikely to occur – typical prosthetic alloy.
2) Metallurgic fatigue under cyclic loads
Prevention – substantial cross sectional area of framework
near the root of cantilever
– 3-6 mm
58. Inevitable dimensional
inaccuracies
Assuming that the misfit is
not too severe the
framework may appear to
fit well - ‘Passive fit’
Misfitting framework can
cause loads on implant even
before any bitting force is
applied
FRAMEWORK MISFIT
59. TREATMENT PLANNING BASED ON BIOMECHANICAL
RISK FACTORS
Design of final prosthetic reconstruction
Anatomical limitation
Geometric risk factor
1) No. of implants less than no. of root support
One implant replacing a molar – risk.
1 wide – platform implant / 2 regular implants
Two implants supporting 3 roots or more – risk
2 wide – platform implants
2) Wide – platform implants
Risk – if used in very dense bone
3) Implant connected to natural teeth
60. 4) Implants placed in a tripod configuration
Desired counteract lateral loads
5) Presence of prosthetic extension
6) Implants placed offset to the center of the prosthesis in
tripod arrangement, offset is favorable
7) Excessive height of the restoration
61. OCCLUSAL RISK FACTORS
Force intensity and parafunctional habit
Presence of lateral occlusal contact
Centric contact in light occlusion
Lateral contact in heavy occlusion
Contact at central fossa
Low inclination of cusp
Reduced size of occlusal table
62. BONE IMPLANT RISK FACTORS
Dependence on newly formed bone
Absence of good initial stability
Smaller implant diameter
Proper healing time before loading
4 mm diameter minimum – posteriors
Technological risk factors
Lack of prosthetic fit and cemented prosthesis
Proven and standardized protocols
Premachined components
Instrument with stable and predefined tightening torque
63. WARNING SINGS
Repeated loosening of prosthetic / abutment screw
Repeated fracture of veneering material
Fracture of prosthetic / abutment screws
Bone resorption below the first thread
64.
65. LIST OF REFERENCES
Dental implant prosthetics – Carl E. Misch.
Esthetic implant dentistry – Patric Palacci.
Osseointegration in oral rehabilitation – Naert et al.
Principles and practice of implant dentistry – Charles Weiss,
Adam Weiss.
Tissue – integrated prosthesis. Osseointegration in clinical
dentistry – Branemark, zarb, Albrektsson
Implant & restorative dentistry – Gerard M. Scortecci
Implant dentistry 2000; 9 (3) : 207-218.
JPD 2002 ; 88 : 604-10.
IJOMI 1992 ; 7 : 450-58.
JPD 2000 ; 83 : 450-55.