NOBILITY IN THOUGHTS
BELIEF IN ACTION
AIMED IN THE RIGHT DIRECTION
INTRODUCTION TO THE FINITE ELEMENT
METHOD
----DR. CHETAN JAYADE
ASST. PROF.
DEPARTMENT OF ORTHODONTICS
S.D.M. DENTAL COLLEGE
My involvement with FEM
FEM Course at B.V.B, Hubli
FEM Course at MSRSAS, Bangalore
Why the need for orthodontists to know about
FEM?
An increase in the scope for research
A need for basic understanding about the engineering
areas of application.
SCOPE OF THE TALK
•An overview of FEA and it’s increasing role in
research
•Tounderstandthecapabilitiesandthelimitations
•Theroleofaclinicianinaresearchstudyinvolving
FEA
•StudiesinvariousbranchesofMedicineand
dentistryinvolvingFEA
SCOPE OF THE TALK
•UsageofFEAinOrthodontics
•SourcesofunderstandingFEA
•AnintroductiontoRapidPrototyping
•UsesofRapidPrototypinginDentistry
BIOMEDICAL ENGINEERING
An amalgamation of the medical and
engineering specialties
--Thehumangenomeproject
--CAD/CAM and other computerised
applicationareas
BIOMEDICAL ENGINEERING
Basic Research Clinical
Combination
BASIC RESEARCH
Experimental
Numerical Analytical
---FEA
---NON-FEA
WHAT IS FEA?
It is a means of discretizing a continuous structure
into sub-domains called Finite Elements.
WHAT IS FEA?
Essentiallyanattemptatsimulatingaphysical
objectandanalysingit’sbehaviourwhen
subjectedtovariouscircumstances
FINITE ELEMENT ANALYSIS(FEA)
Termed by Clough in 1960
Gained popularity in the civil and the
Aerospace industry
FINITE ELEMENT ANALYSIS(FEA)
First introduced to the dental arena in the 1970’s
Growth model documented by MOSS in 1980.
FINITE ELEMENT ANALYSIS(FEA)
Current upsurge in interest due to
a)Potential of applicability
b)Desktop management
FINITE ELEMENT ANALYSIS(FEA)
Basic steps---
a)Pre-processing
b)Processing
c)Post-processing
FINITE ELEMENT ANALYSIS(FEA)
Pre-Processingbasicallyinvolvesmodellingof
thestructurebeingstudied.
Probably the most crucial step.
FINITE ELEMENT ANALYSIS(FEA)
Pre-Processing---Newerpossibilitiesof
modellingofcomplexstructures
a)3-DCTscanning
b)3-DLaserscanner
c)Voxelmodelling
FINITE ELEMENT ANALYSIS(FEA)
In Pre-processing, the structure being studied
is discretised into smaller units termed the
elements.
Each element is free to get displaced in all the
three planes of space.
FINITE ELEMENT ANALYSIS(FEA)
The element co-ordinates (x,y,z) can be either
a)Global Co-ordinate system or
b)The Local Co-ordinate system
FINITE ELEMENT ANALYSIS(FEA)
Variouscategoriesofelementsexist.
Examplesare
---Shellelement
---Beamelement
---Trusselementetc.
FINITE ELEMENT ANALYSIS(FEA)
EXAMPLES OF ELEMENTS
FINITE ELEMENT ANALYSIS(FEA)
These elements are connected at certain points
termed ‘Nodes’.
The joining of elements into nodes and eliminating
duplicate nodes is termed as “Meshing”
FINITE ELEMENT ANALYSIS(FEA)
The mesh size is a crucial determinant of the
accuracy of the result.
However, it is inversely related to the time involved
in the analysis.
FINITE ELEMENT ANALYSIS(FEA)
The meshed model is now a free floating body. To
simulate the exact structure, the material
properties are assigned and boundary
conditions enforced.
FINITE ELEMENT ANALYSIS(FEA)
Material properties : The minimum properties to be
assigned are a) The Modulus of elasticity and
b)Poisson’s ratio.
FINITE ELEMENT ANALYSIS(FEA)
Material properties : Modulus of elasticity(Young’s
modulus)refers to the stiffness of the material
within it’s elastic range.
E = Stress
------------
Strain
FINITE ELEMENT ANALYSIS(FEA)
Modulus of elasticity of dental structures are :
a)Enamel ---65 GPa
b)Dentin --15 GPa
c)Alveolar bone –10 GPa
d)Periodontal ligament –0.05 GPa
FINITE ELEMENT ANALYSIS(FEA)
Material properties : Poisson’s ratio denotes the
strain imposed on the material relative to the
axis of the load applied.
P = Strain perp. to the force
------------------------------------
Strain parallel to the force
FINITE ELEMENT ANALYSIS(FEA)
Poisson’s ratio for dental structures are:
a) Enamel --0.32
b) Dentin --0.28
c) Alveolar bone –-0.33
d) Periodontal ligament--0.3
FINITE ELEMENT ANALYSIS (FEA)
After assigning the material properties, the material
is constrained identical to the real situation.
The freedom of the body to be displaced is termed
as the “degrees of freedom”.
Each element has six degrees of freedom.
FINITE ELEMENT ANALYSIS (FEA)
The final step in Pre-processing is the application
of loads. These can be either force or moments
and be directed at any node in all the three
planes of space.
FINITE ELEMENT ANALYSIS(FEA)
WhatDoesTheComputerDoDuringThe
Processing?
a)Solvingofdifferentialequations.
b)Assemblageintomatrices
c)Summationofthematrixequations
FINITE ELEMENT ANALYSIS(FEA)
Theequationforthesimplestlinearstatic
analysisisrepresentedas:
[F]={K}{u}
The non-linear analysis is solved usually by what
is termed as the “Newton-Raphson method”
FINITE ELEMENT ANALYSIS(FEA)
Post-Processing--
a)Graphicaloutput
b)Numericaloutput
c)Animatedoutput
FINITE ELEMENT ANALYSIS(FEA)
Post-Processing--
a)Graphicaloutput
b)Numericaloutput
c)Animatedoutput
ROLE OF A MEDICAL OR A DENTAL
PROFESSIONAL DURING A RESEARCH
WORK INVOLVING FEA
•Planningafeasiblestudy
•Softwaretobeused
•TypeofModel–2-Dor3-D
•Typeofanalysis
ROLE OF A MEDICAL OR A DENTAL
PROFESSIONAL DURING A RESEARCH
WORK INVOLVING FEA
Software to be used
•Accuracy
•Analysismodules
•Mainframecapabilities
AREAS OF APPLICATIONS
BIOMECHANICAL MECHANICAL
Orthodontics
Prosthodontics
Oral Surgery
Periodontics
AREAS OF APPLICATIONS
ORTHODONTIC USAGE
Alternativetocephalometry
Growthassessment
Stresspatterngeneration
AREAS OF APPLICATIONS
ORTHODONTIC USAGE
•Limitationsofconventionalcephalometryin
establishingtheexactareasofgrowth.
•AdvantagesofFEMinGrowthstudies
AREAS OF APPLICATIONS
ORTHODONTIC USAGE
•MelvinMossusedtheconceptofGrowth
tensors.
•Tensors,althoughbeingabstractentities,are
abletopinpointthelocalgrowth
extensions(strains)
CONCEPT OF GROWTH TENSORS
CONCEPT OF GROWTH TENSORS
AREAS OF APPLICATIONS
ORTHODONTIC USAGE
Stresspatterngeneration---
Nasomaxillaryregion
Mandibleandcondyle
Dento-alveolar
Attachmentsandothermaterials
AREAS OF APPLICATIONS
ORTHODONTIC USAGE
Stresspatterngeneration---
Nasomaxillaryregion
MODELLING OF THE MANDIBLE
ANALYSIS OF THE MANDIBLE
MODELLING OF HUMAN TEETH
MODELLING OF HUMAN TEETH
MODELLING OF HUMAN TEETH
MODELLING OF HUMAN TEETH
MODELLING OF HUMAN TEETH
MODELLING OF HUMAN TEETH
LOSS OF ATTACHMENT AND IT’S RELATION TO
THE M/F RATIOS
RELEVANCE OF USING TPA AS A SOURCE OF
ANCHORAGE
MODELLING OF ORTHODONTIC
BRACKETS
ANALYSIS OF STRESSES IN ORTHODONTIC
BRACKETS
ANALYSIS OF STRESSES IN ORTHODONTIC
BRACKETS AND ADHESIVES
A MODELLED STANDARD LOOP
F
R
DISPLACED SHAPE OF THE LOOP
T Loop and L loop with angulated legs
T Loop and L loop with angulated legs
A NEW FINDING
AREAS OF APPLICATIONS
PROSTHODONTIC USAGE
Stresspatterngeneration---
Edentulousjaws
Completedentures
Over-dentures
CrownsandFixedpartialdentures
Implants
STRESS ANALYSIS OF A CAST
RESTORATION
MODELLING OF AN IMPLANT IN THE
MANDIBLE
ANALYSIS OF THE IMPLANT
AREAS OF APPLICATIONS
ORAL AND MAXILLOFACIAL SURGERY
Surgicalstressesgenerated
StressesintheTMJ
Distractionosteogenesisstresses
MODELLING OF THE HUMAN TMJ
THE MODELLED TMJ
ANALYSIS OF THE TMJ-NORMAL MOVEMENTS
ANALYSIS OF THE TMJ -ENFORCED MOVEMENTS
AREAS OF APPLICATIONS
PERIODONTICS
Stressesintheperiodontium
Changesduetolossofbonesupport
Designingoforalresonators
ANALYSIS OF RESONATORS
USES OF FEA IN PALEONTOLOGY
--A MODELLED DINOSAUR CRANIUM
SOURCES OF DATA
INTERNET–www.femur.wpi.edu
www.anamedic.com
www.feainfo.com
TEXTS:-Chandrupatlaet.al
LakshminarayanH.V
ChampionJr.
RAPID PROTOTYPING
This refers to the process of production of
any physical object scanned via special
devices.