420 likes | 588 Views
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
E N D
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