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MECHANICAL PROPERTIES OF MATERIALS Department of Physics KL University. Objectives. Identification of elastic and plastic behaviour of materials through molecular level Behaviour of ductile and brittle materials with external load
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MECHANICAL PROPERTIES OF MATERIALS Department of Physics KL University
Objectives • Identification of elastic and plastic behaviour of materials through molecular level • Behaviour of ductile and brittle materials with external load • Measurement of various properties like hardness and toughness of materials
Basic Terms • Stress • Strain • Types of Stress • Types of Strain • Hooke’s law • Elasticity • Plasticity • Ductility • Brittleness • Hardness • Toughness • Fatigue • Creep • Fracture
ElasticityPlasticity Regainsto original shape Deforms permanently
1. Initial 2. Small load 3. Unload bonds stretch return to initial d F Elastic deformation Molecular approach Elastic means reversible
1. Initial 2. Small load 3. Unload bonds p lanes stretch still & planes sheared shear d plastic d elastic + plastic F Plastic deformation Molecular approach Plastic means permanent • Process of plastic deformation in crystals is by slip process (motion of dislocation) and in non-crystalline solids, the plastic deformation is by viscous flow mechanism.
Stress: The internally developed forces per unit area of a material due to the application of external force. Its SI unit is Pascal (or) N/m2
StrainFractional change in the dimensions of a material due to the application of external force. • It has no unit
Types of Stress & Strain • Tensile stress – Longitudinal Strain • Compressive Stress – Volume Strain • Shear stress – Shear Strain
F Tension W Tensile Stress – Longitudinal Strain Equal and opposite forces directed away from each other
W F Compression Compressive StressLongitudinal strain Equal and opposite forces directed towards each other
Shear Stress – Shear Strain Tangential force
Hooke’s Law Within elastic limit, Stress α Strain Stress = E x Strain E - Modulus of elasticity, Unit : N/m2
Modulus of elasticity of materials depends on bond strength between atoms, stronger the bond, larger will be the modulus of elasticity. • Values of the modulus of elasticity for ceramic materials are about the same as for metals; for polymers they are lower. These differences are a direct consequence of the different types of atomic bonding in the three materials types.
Increase in temperature of material, decreases the modulus of elasticity.
loaded unloaded Poisson’s Ratio: • If lateral strain along x- and y- directions is same • (ε x = ε y),material may be isotropic.
DUCTILITY Material – thin wires – withstands plastic deformation
BRITTLENESS Fractures without deformation
Hardness: - withstand plastic deformation or indentation produced in the material. Creep: - time dependent deformation at constant load
Strength :Ability to withstand loads Types of strength 1.Yield strength : Strength beyond which it exhibits plasticity 2. Tensile strength (or) Ultimate strength : Strength at which the material breaks or fractures
Tensile Strength TS F = fracture or ultimate strength Necking acts as stress concentrator y engineering stress Typical response of a metal strain engineering strain • Maximum stress on engineering stress-strain curve. • Metals: TS occurs when noticeable necking starts. • Polymers: TS occurs when polymer chains are aligned and about to break.
Toughness : Energy absorbed up to fracture. Fatigue: Failure under cyclic (or) repeated stress Fracture: Breakage of a material into separate parts under the action of stress
Engineering Stress-Strain Diagram ultimate tensile strength 3 necking Strain Hardening Slope=E yield strength Fracture 5 2 Elastic region slope =Young’s (elastic) modulus yield strength Plastic region ultimate tensile strength strain hardening fracture Plastic Region Stress (F/A) Elastic Region 4 1 Strain ( ) (DL/Lo)
Engineering and True Stress-Strain Engineering stress (σn )= F/A0 A0 – original area of cross section Engineering strain εn = (L-L0)/L0
Hardness Tests Indentation Method • Brinell Hardness Test • Rockwell Hardness Test • Vicker Test