Engineering Physics - Elastic Properties of Materials
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Questions and Answers

What happens to a perfect elastic body when the deforming force is removed?

It completely regains its original shape.

Define a plastic body in the context of deformation.

A plastic body remains in a deformed state and does not regain its original shape.

What kind of stress is generated when a rod's length increases due to an external force?

Tensile stress.

Explain the difference between longitudinal stress and shearing stress.

<p>Longitudinal stress acts along the length of the material, while shearing stress acts parallel to its surface.</p> Signup and view all the answers

How is stress defined in relation to force and area?

<p>Stress is the internal resistive force to deformation per unit area.</p> Signup and view all the answers

What is the relationship between stress and pressure?

<p>Stress is the internal force per unit area, while pressure is the external force applied per unit area.</p> Signup and view all the answers

Identify two types of longitudinal stress and describe them.

<p>The two types are tensile stress and compressive stress.</p> Signup and view all the answers

What occurs during static equilibrium regarding restoring and deforming forces?

<p>The restoring force is equal to the deforming force.</p> Signup and view all the answers

What is elasticity in the context of materials?

<p>Elasticity is the inherent property of a material that allows it to restore its original shape after the deforming forces are removed.</p> Signup and view all the answers

Explain the state of a perfectly elastic body after removing deforming forces.

<p>A perfectly elastic body completely regains its original shape after the removal of deforming forces.</p> Signup and view all the answers

What causes the restoring forces in a body when it is deformed?

<p>Restoring forces are caused by the displacements of molecules from their original positions of stable equilibrium due to applied deforming forces.</p> Signup and view all the answers

What are the three types of deformations that can occur in a body?

<p>The three types of deformations are length, volume, and shape.</p> Signup and view all the answers

Define deforming force and its effect on a material.

<p>A deforming force is a force that changes the shape of a body upon application.</p> Signup and view all the answers

What is the difference between a perfectly plastic material and a partially elastic material?

<p>A perfectly plastic material does not regain any shape upon removal of deforming forces, whereas a partially elastic material regains some of its original shape.</p> Signup and view all the answers

What role do intermolecular forces play in elasticity?

<p>Intermolecular forces help maintain the stable equilibrium positions of molecules, allowing them to return to these positions after deformation.</p> Signup and view all the answers

How does the arrangement of molecules in a solid influence its elasticity?

<p>The arrangement of molecules in a solid determines the stability of equilibrium positions and the efficiency of restoring forces during deformation.</p> Signup and view all the answers

What defines the difference between stress and pressure in materials?

<p>Stress is developed internally within a material, while pressure is an external force exerted on an object.</p> Signup and view all the answers

Explain the significance of the proportional limit in the context of Hooke's Law.

<p>The proportional limit marks the range where stress remains directly proportional to strain, according to Hooke’s Law.</p> Signup and view all the answers

What happens to a material when it reaches its yield point?

<p>At the yield point, the material begins to deform plastically, leading to permanent changes in shape.</p> Signup and view all the answers

What are the three types of stress that can be present in a material?

<p>The three types of stress are tensile, compressive, and shear stress.</p> Signup and view all the answers

What is meant by elastic modulus, and why is it important?

<p>Elastic modulus is the proportionality constant between stress and strain in the elastic region, indicating a material's stiffness.</p> Signup and view all the answers

Describe the ultimate stress point in a stress-strain curve.

<p>The ultimate stress point is where a material undergoes maximum stress before failure or fracture occurs.</p> Signup and view all the answers

How do the upper and lower yielding points vary in a material’s yield behavior?

<p>The upper yielding point is where initial yielding occurs, while the lower yielding point represents the stress level at which flow continues.</p> Signup and view all the answers

What is the relationship between tensile strength and material failure?

<p>Tensile strength is the maximum amount of stress a material can withstand before breaking.</p> Signup and view all the answers

What is the fracture point of a material and why is it significant?

<p>The fracture point is the point at which a material breaks due to impact force, and it is significant because it indicates the maximum stress a material can withstand.</p> Signup and view all the answers

Describe the process of heat conduction and provide an example.

<p>Heat conduction is the transfer of heat from a hotter region to a colder one without molecular movement. An example is frying vegetables in a pan.</p> Signup and view all the answers

What distinguishes thermal conductors from insulators?

<p>Thermal conductors easily transfer heat, whereas insulators do not conduct heat effectively.</p> Signup and view all the answers

Explain convection and give an example of where it occurs.

<p>Convection is the transfer of heat in liquids and gases through the bulk movement of molecules. An example is heating milk in a pan.</p> Signup and view all the answers

What is radiation in the context of heat transfer?

<p>Radiation is the transfer of heat in the form of electromagnetic waves without requiring a medium.</p> Signup and view all the answers

Why is radiation heat transfer not dependent on the medium?

<p>Radiation does not require a material medium to transfer heat, as it relies on electromagnetic waves.</p> Signup and view all the answers

What role does molecular movement play in convection?

<p>In convection, heat transfer occurs partly due to the actual movement of molecules or mass transfer.</p> Signup and view all the answers

Identify the key similarity between conduction and convection.

<p>Both conduction and convection are modes of heat transfer that facilitate the movement of thermal energy.</p> Signup and view all the answers

What is the Seebeck Effect?

<p>The Seebeck Effect is the generation of an electric potential across a temperature gradient in a thermocouple, proportional to the temperature difference.</p> Signup and view all the answers

Explain the Peltier Effect and its significance.

<p>The Peltier Effect involves heating at one junction and cooling at another when an electric current flows through a thermocouple, allowing for temperature control in various applications.</p> Signup and view all the answers

Describe the role of temperature gradients in the thermoelectric effect.

<p>Temperature gradients cause electric current to flow in a material, enabling energy conversion between heat and electricity.</p> Signup and view all the answers

What is the significance of the Wiedemann-Franz law?

<p>The Wiedemann-Franz law relates electrical conductivity to thermal conductivity in metals, indicating that good conductors of electricity are also good conductors of heat.</p> Signup and view all the answers

How does a thermocouple function?

<p>A thermocouple measures the voltage difference between two dissimilar materials at different temperatures to determine temperature differences.</p> Signup and view all the answers

In the context of the thermoelectric effect, what occurs when there is a potential difference between two points in a material?

<p>When there is a potential difference, it induces a temperature gradient within the material, demonstrating the reversible nature of the thermoelectric effect.</p> Signup and view all the answers

What materials are typically used in thermoelectric devices and why?

<p>Dissimilar conductors, often semiconductors, are used in thermoelectric devices due to their ability to create significant temperature gradients and voltage differences.</p> Signup and view all the answers

Discuss one practical application of the thermoelectric effect.

<p>One application is in waste heat recovery systems, where waste heat from engines or industrial processes is converted into usable electrical energy.</p> Signup and view all the answers

What is the Thomson effect and how does it relate to the Seebeck and Peltier effects?

<p>The Thomson effect describes heat exchange in a conductor with a temperature gradient when electric current flows, linking the Seebeck and Peltier effects by showing the relationship between temperature, charge carriers, and electric fields.</p> Signup and view all the answers

Explain the significance of free charge carriers in the Thomson effect.

<p>Free charge carriers in a conductor allow for diffusion from hot to cold regions, creating an electric field that counters further diffusion due to the temperature gradient.</p> Signup and view all the answers

List two practical applications of thermoelectricity.

<p>Thermoelectric generators and digital thermometers are significant applications of thermoelectricity.</p> Signup and view all the answers

Using the Debye model, how is specific heat in solids derived?

<p>The Debye model derives specific heat by considering phonon modes in solids, explaining how at low temperatures, specific heat behaves as $C_V \propto T^3$.</p> Signup and view all the answers

What does Poisson's ratio indicate about a cylinder experiencing longitudinal stress with unchanged volume?

<p>A Poisson's ratio of $\sigma = 0.5$ indicates that the lateral strain is equal to half of the longitudinal strain in the cylinder upon applying stress.</p> Signup and view all the answers

What is the relationship between the elastic potential energy density and stress and strain?

<p>The elastic potential energy density is given by the formula $u = \frac{1}{2} \times \text{Stress} \times \text{Strain}$, illustrating how energy is stored in deformed materials.</p> Signup and view all the answers

How does cutting a spring into four parts affect the force constant of each part?

<p>When a spring with a force constant $k$ is cut into four equal parts, the new force constant for each part becomes $4k$.</p> Signup and view all the answers

Demonstrate how the work done on a wire relates to its Young's modulus.

<p>The work done on a wire stretched by amount $x$ is given by $W = \frac{Y A x^2}{2L}$, linking Young's modulus to work and deformation.</p> Signup and view all the answers

Study Notes

Engineering Physics - 1

  • Subject Code: 303192101
  • Unit 1 covers Properties of Materials
  • Instructor: Dr. Samrat Sarkar (Assistant Professor)
  • Department: Applied Sciences and Humanities, PIET

Chapter 1A: Elastic Properties of Materials

  • Introduction to elasticity, toughness, plasticity, hardness, brittleness, ductility, malleability, and stiffness as mechanical properties of materials.

Elasticity

  • Elasticity is the inherent property of a body to return to its original shape after the deforming force is removed.
  • A perfectly elastic body completely regains its original shape.
  • A perfectly plastic body does not regain its original shape after deforming forces are removed.
  • Partially elastic bodies partially regain their original shape.
  • Elasticity arises from internal forces within the body resisting deformation.
  • These internal forces attempt to restore the body to its original shape.

Reason for Elasticity

  • Solids are composed of many molecules/atoms arranged in a specific manner.
  • Intermolecular forces (coulombic forces) act on each molecule.
  • Molecules are in stable equilibrium positions.
  • Deforming forces cause molecules to shift from equilibrium positions.
  • Intermolecular forces act as restoring forces, pulling molecules back to their original positions, restoring the body's shape.

Some Definitions

  • Deforming force: A force applied to a body that changes its shape.
  • Restoring force: The internal force that opposes the deforming force.

Elastic Body

  • A body that completely regains its original shape after the removal of a deforming force is called a perfect elastic body.

Plastic Body

  • A body that does not regain its original shape after the removal of the deforming force is called a plastic body.

Stress

  • Stress is defined as the restoring force per unit cross-sectional area of a deformed body in equilibrium.
  • Stress = Force/Area
  • SI unit of stress is Nm⁻² or Pascal (Pa)
  • Dimensional formula of stress is M¹L⁻¹T⁻².

Types of Stress

  • Longitudinal stress (Tensile and Compressive)
  • Volume Stress (Hydraulic stress)
  • Shearing Stress (Tangential stress)

Strain

  • Strain is a measure of deformation caused by external forces.
  • Types of strain include longitudinal strain, volume strain, and shearing strain.

Stress versus Pressure

  • Stress is the internal resistance to deformation.
  • Pressure is the force applied per unit area.
  • Pressure is always a positive force.
  • Stress can be positive or negative.
  • Stress is developed internally, Pressure is exerted externally.

Elastic Moduli

  •  Present diagrams of Young's modulus, Shear modulus, Bulk modulus, and Poisson's ratio.

Hooke's Law

  • For small deformations, stress is directly proportional to strain.
  • Stress ∝ Strain
  • Stress = Constant × Strain
  • The constant of proportionality is known as the modulus of elasticity.

Model of Elastic Behaviour

  • OA (Proportional limit), elastic limit, lower-upper yield points, ultimate stress, breaking or rupture point.
  • Hooke's Law, defined as the strain in a material.

Mechanical Properties: Definitions

  • Elasticity: Ability of a material to deform/return to its original shape.
  • Plasticity: Ability of a material to experience permanent deformation without fracturing.
  • Toughness: Resistance of a material to fracture while absorbing energy.
  • Hardness: Resistance to indentation, scratching, or abrasion.
  • Brittleness: Tendency to fracture with little or no deformation.
  • Stiffness: Resistance to deformation under an applied load.
  • Malleability: Ability to be hammered or pressed into thin sheets without fracturing.
  • Ductility: Ability to be drawn into thin wires without breaking.

Chapter 1B: Thermal Properties of Materials

  • Includes modes of heat transfer (conduction, convection, radiation).

Modes of Heat Transfer

  • Conduction: Heat transfer through direct contact between molecules, primarily in solids.
  • Convection: Heat transfer in fluids due to the movement of molecules/fluids, mostly in liquids and gases.
  • Radiation: Heat transfer through electromagnetic waves, independent of an intervening medium.

Thermal Conductivity

  •  Covers thermal conductivity and its expression.

Electric Conductivity

  • Also covers electric conductivity and its expression.

Electrical versus Thermal Conductivity

  • Compares electrical and thermal conductivity in terms of properties, symbols, expressions, driving force, current, and densities. Also includes carrier concentration, carrier charge, carrier relaxation time, and relevant assumptions in each.

Wiedemann-Franz Law

  • Relates thermal conductivity, electrical conductivity, and absolute temperature (T), with the Lorenz number (L).

Thermoelectric Effect

  • The Seebeck Effect, Peltier Effect, and Thomson Effect.
  • Describe how they relate to temperature differences and electricity.

Phonons

  • Tiny packets of vibrational energy in a solid.
  • Analogous to photons of light energy.
  • Vibrational waves representing atomic vibrations within the material.
  • Carry specific energy amounts related to their frequency.
  • Acoustic and Optical phonons are discussed, along with their roles in heat conduction in materials which don't conduct electricity.

Specific Heats of Solids

  • Amount of heat needed to raise the temperature of unit mass by one degree Celsius (or Kelvin).
  • Mathematical descriptions of the specific heat of solids—classical (Dulong-Petit's Law), Einstein's, and Debye's.

Statistical Distributions

  • Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac statistics.
  • Classical and quantum statistics compared in the context of particles.

Problems (Numerical Exercises on Material Properties).

  • Includes problems related to calculating elasticity, Poisson's ratio, spring force constants, bulk modulus, work done in stretching a wire, and elastic potential energy.

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Description

This quiz covers the fundamental concepts of elasticity as part of the Engineering Physics course. Explore the definitions and differences between elasticity, toughness, plasticity, and other mechanical properties of materials. Test your understanding of how these properties influence material behavior under stress.

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