mechanical_properties
TRANSCRIPT
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MECHANICAL PROPERTIESOF
DENTAL MATERIALS
DR. VINAMRA DHARIWAL, MDS
23-10-07DEPARTMET OF PROSTHETICS @ Chettinad Hospital & Research Institute
Dental material lecture
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STRESS-STRAIN CURVE
Stress is the force / unit area acting on millions of atom
or molecules in a given plane of a material. Strain is the change in length / unit length. It is the
relative deformation of an object subjected to a stress.
Tensile stress: is caused b a load that tends to stretch
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or elongate a body. A tensile stress is alwaysaccompanied by tensile strain.
Shear stress: tends to resist the sliding or twisting of
one portion of a body over another.
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STRESS-STRAIN CURVE
Compressive stress: if a body is placed under a load that
tends to compress or shorten it, the internal resistanceto such a load is called compressive stress
Elastic strain is reversible i.e. the object fully recovers
its ori inal sha e when the force is removed.
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Plastic strain represents a permanent deformation ofthe materials that does not decrease when the force is
removed.
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A tensile load is applied
to a wire in smallincrements until it
breaks.
If each stress is lotted on
STRESS-STRAIN CURVE (Contd..)
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a vertical co-ordinate andthe corresponding strain
is plotted on the
horizontal co-ordinate a
curve is obtained.
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This is called stress-strain
curve. It is useful to study some
of the mechanical
ro erties.
STRESS-STRAIN CURVE (Contd..)
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PROPORTIONAL LIMIT
Hookes Law: Within
elastic limit strain is
proportional to stress.
The stress-strain curve is a
strait line. Along this line
ma er a e aveselastically and springs back
to its original size and
shape the instant force is
removed. Beyond point Pthe line becomes non-
linear, stress is no longer
proportional to strain.
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ELASTIC LIMIT
The point Pabove which the curve degresses from a
strait line , is the maximum elastic strain a material canundergo before under going permanent deformation and
this greatest elastic stress is known as Elastic limit.Elastic limit.
For ractical ur ose the elastic limit and ro ortional
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limit represent the same stress. However , thefundamental concept is different, one describes the
elastic behavior of the material whereas other deals
with proportionality of stress to strain.
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STRENGTH
It is the maximal stress required to fracture a structure.
Strength is not a measure of individual atom to atomattraction or repulsion , but rather it is a measure of the
interatomic forces collectively over the material which
is stressed.
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STRENGTH IS BASICALLY OF FOUR TYPES:
Tensile
Compressive
Shear Flexure
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TENSILE STRENGTH
Tensile Strength is
determined by subjectinga rod , wire or adumbbell shapedspecimen to a tensile
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. It is defined as the
maximal stress thestructure will withstandbefore rupture.
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DIAMETRAL TENSILE STRENGTH
Brittle material an
indirect tensile testcalled Diametral
compression test or
Brazillian test is used .
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A compressive load isplaced on the diameter
of a short cylindrical
material .
Stress = 2(load) diathickness
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COMPRESSIVE STRENGTH
Crushing srength isdetermined by subjectinga cylindrical specimen toa compressive load.
The strength is obtained
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rom e cross sec onaarea and force applied.
Complex failure
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SHEAR SRENGTH
Maximum stress a
material can withstandbefore failure in a shear
mode of loading. It is
tested usin unch or
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pushout method. Shear strength = Force/
punch dia * thickness
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TRANSVERSE SRENGTH
Transverse strength or
modulus of rupture orflexure strength
Obtained using a beam
su orted at each end
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and load applied in themiddle.
Also called three point
bending test.
Used in long span bridges. Neutral Axis
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POISSONS RATIO
If a cylinder is subjected to tensile stress or compressive
stress, there is simultaneous axial and lateral strain.Within elastic range the ratio of lateral to the axial
strain is called Poisson's ratio.
It is related to nature and s mmetr of inter-atomic
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bonding forces. Dental materials have Poisson's ratio value in range of
0.3 to 0.5.
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ELASTIC MODULUS
SYNONYM: Youngs modulus or
Modulus of elasticity
DEFINITION:
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elastic range. It is the ratio of elastic stress to elasticstrain. It has a constant value as determined from a
stress strain graph.
ELASTIC STRAIN:
Deformation that is recovered upon removal of an
externally applied force or pressure.
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ELASTIC MODULUS
Because Elastic modulus represents the ratio of Elastic
stress to the Elastic strain, it follows that the lower thestrain for a given stress, the greater the value of the
Modulus and stiffer is the material.
It is not a measure of stren th of a material and is
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independent of ductility of material. It is measured in the linear region of the stress-strain
graph.
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This property is indirectly related to other mechanical
properties. Modulus of elasticity is given in units of force per unit
area ,typically giga Newton per square meter (GN/m2 )
or i a Pascals GPa .
ELASTIC MODULUS (Contd..)
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E= Stress / Strain = ( P/A) / (l/ lo)
E = Elastic Modulus
P = Applied force or loadA= cross sectional area of the material under stress
l= increase in length
lo= original length
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STRESS STRAIN CURVE -MODULUS OF ELASTICITY
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Slope of s-s curve
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APPLICATION
The metal frame of a metal-ceramic bridge should have
a high stiffness. If the metal flexes, the porcelainveneer on it might crack or separate.
If one wire is more difficult to bend than another of the
same size and sha e considerabl hi her stress must be
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induced before the desired strain can be produced in astiffer wire. Such a material would possess a
comparative high modulus of Elasticity.
A polyether material have greater stiffness than all
other elastomeric impression materials. thus a greaterforce is needed to remove a impression tray from
undercuts in mouth.
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DYNAMIC ELASTIC MODULUS
Measured when system in dynamic status.
Measured by ultrasonic longitudinal and transverse wavetransducers and appropriate receivers.
Easy to calculate but slightly higher values than static
method within acce table ran e.
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If shear stress is induced then we can calculate shearstrain and shear modulus of the material.
Shear modulus is usually about 38 % of the elastic
modulus.
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YIELD STRENGTH
A small amount of permanent strain is tolerable.
The limit of tolerable permanent strain is the Yieldstrength.
Yield strength is defined as the stress at which a
material exhibits a s ecified limitin deviation from
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proportionality of stress to strain. It is a property that represents the stress value at which
a small amount (0.1% or 0.2%) of plastic strain has
occurred.
A value of either 0.1% or 0.2% of the plastic strain isoften selected and is referred to as the Percent offset.
Cannot be used for brittle materials.
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STRESS STRAIN CURVE YIELD STRENGTH
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FLEXIBILITY
Ability of a material to deform or under go larger strain
for relatively less stress. The maximal flexibility is defined as the strain that
occurs when the material is stressed to its proportional
limit.
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For e.g. in an orthodontic appliance, a spring is oftenbent to a considerable distance under the influence of a
small stress. Such a material is referred as flexible.
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RESILIENCE
The amount of energy absorbed within a unit volume of
a structure when it is stressed to its proportional limit. It is also described as the relative amount of elastic
energy per unit volume released on unloading of a test
s ecimen. It is a term associated with s rin iness of a
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material. Resilience is measured using the stress-strain graph and
it corresponds to the area under the straight line portion
of curve. It is the area bounded by the elastic region.
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The material with larger
elastic area has thehigher resilience.
Modulus of resilience
R= ro ortional limit 2
RESILIENCE
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2 Elastic modulus.
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TOUGHNESS
It is defined as energy required to fracture a material.
It is measured as a total area under stress strain curve. Toughness of the material is dependent on the ductility
and malleability of the material than upon the flexibility
or elastic modulus.
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TOUGHNESS
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IMPACT STRENGTH
IMPACT:
It is the reaction of a stationary object to a collision
with a moving object. Depending on the resilience of
the object , energy is stored in the body without causing
deformation or with deformation.
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Impact resistance decreases with increase in stiffness. Resilient material have high impact strength.
Increase in volume leads to increase in impact
resistance.
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IMPACT STRENGTH
It is the energy required
to fracture a materialunder force.
A charpey type tester is
used. It has a heav
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pendulum which swingsdown to fracture the
specimen.
Another instrument called
Izod impact tester canalso be used.
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PERMANENT DEFORMATION
Once the Elastic limit of a material is crossed by a specific
amount of stress ,the further increase in strain is calledpermanent deformation.
Im ression materials
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Clasp
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FATIGUE
A Structure subjected to repeated or cyclic stress below
its proportional limit can produce abrupt failure of these
structure.
Fatigue behavior is determined by subjecting a material
to a c clic stress of known value and determinin the
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number of cycles that are required to produce failure.
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STATIC FATIGUE
Some material support a static load for a long period of
time and fail abruptly. This type of failure may occur in
wet environment. E.g. ceramic materials.
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BRITTLENESS
A brittle material fractures at or near its proportional
limit.
It is opposite of toughness.
Brittle material will not bend appreciably without
breakin .
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Though a brittle material may have a very highcompressive strength. E.g. glass.
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DUCTILITY
Ability of a material to withstand permanent
deformation under a tensile load without rupture.
It is the ability of the metal to be drawn into wires.
Ductility depends on tensile strength.
It decreases with increase in tem erature.
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MEASUREMENT OF DUCTILITY
1.Percentage elongation after fracture
Gauge length = 51mm
1.Measuring reduction in cross sectional areas of fractured
ends in com arison to the ori inal area of the wire. This
DUCTILITY (Contd..)
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is also called as reduction in area method.2.Cold bend test.
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MALLEABILITY
It is the ability of a material to withstand rupture under
compression.
It is seen in hammering or rolling of a material into
sheets.
It is not de endent on the stren th of the material
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It increases with temperature. Gold is most ductile and malleable and silver stands the
second.
Platinum is third most ductile and copper is third most
malleable.
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COLD WORKING
Strain hardening or work hardening.
When a metal is stressed beyond its proportional limit
the hardness and strength of the material increases at
the area of the formation but the ductility of the metal
decreases and the brittleness of the metal increases.
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The key to minimize the risk of embrittlement is todeform the metal in small increments.
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STRESS CONCENTRATION FACTORS
THESE INCLUDES
Surface flaws
Internal voids
air bubbles.
Inclusions of other materials
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Hertzian load Sharp angles
Notches
Thermal mismatch
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READING GRAPH
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EXCERSICE
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2007 Chettinad Hospital & Research Institute