4.10.4
Elasticity
Elasticity
Elasticity
Elasticity is the tendency of materials to return to their original shape after the external forces (load) causing a deformation are removed.


Elasticity
Elasticity
- An object is elastic when it comes back to its original size and shape when the load is no longer present.


Elastic limit
Elastic limit
- The limit of proportionality is the largest stress value beyond which stress is no longer proportional to strain.
- The object may still return back to its original size and shape when the load is removed.
- The elastic limit is the point beyond which the object does not come back to its original size and shape when the load is removed.


Elastic strain energy
Elastic strain energy
- When an elastic object is stretched, energy needs to be supplied to the object to stretch the object.
- The supplied energy is the elastic strain energy.
- The elastic strain energy can be determined from the area underneath a force-extension graph.


Elastic hysteresis
Elastic hysteresis
- Elastic hysteresis is the difference in the elastic strain energy used to stretch an object and the strain energy as the load is removed.
- This is the area between the loading and unloading curves on a force-extension graph.
Hooke's Law
Hooke's Law
Hooke's law is a proportional relationship between the force experienced and the extension observed. The relationship exists up to an elastic limit.


Hooke's law
Hooke's law
- Hooke's law is the relationship that the force F experienced by an extensible object is proportional to its extension ΔL:
- F α ΔL
- The constant of proportionality is labelled k and is called the stiffness constant.
- This gives the equation:
- F = kΔL
- The force acts to restore the object back to its original shape, so it acts in the opposite direction to that of the extension.


Limit of proportionality
Limit of proportionality
- Hooke's law is a relationship between two quantities. But, this relationship does not always hold.
- When a force-extension graph is linear, Hooke's law applies.
- When a force-extension graph is non-linear, Hooke's law does NOT apply.


Elastic limit
Elastic limit
- An object (e.g. a spring) is elastic if it returns back to zero extension when the load on it is removed.
- The elastic limit is the maximum force the spring can sustain and then return to zero extension.
 - Force extension graph and limit of proportionality (1)-min,h_400,q_80,w_640.png)
 - Force extension graph and limit of proportionality (1)-min,h_400,q_80,w_640.png)
Gradient of force-extension graphs
Gradient of force-extension graphs
- The gradient of a force-extension graph is the value of the constant of proportionality, k.
- For springs, this is the familiar spring constant.
1Principles of Science I
1.1Structure & Bonding
1.1.1Atomic Model
1.1.2Electron Shells, Sub-Shells & Orbitals
1.1.3Ionic Bonding
1.1.4Representing Ionic Bonds
1.1.5Covalent Bonding
1.1.6Representing Covalent Bonds
1.1.7Metallic Bonding
1.1.8Intermolecular Forces
1.1.9Intermolecular Forces 2
1.1.10End of Topic Test - Bonding
1.1.11Relative Masses
1.1.12The Mole
1.1.13Molar Calculations
1.1.14Molar Calculations 2
1.1.15Empirical & Molecular Formulae
1.1.16Balanced Equations
1.1.17Percentage Yield
1.1.18End of Topic Test - Amount of Substance
1.2Properties of Substances
1.2.1The Periodic Table
1.2.2Ionisation Energy
1.2.3Factors Affecting Ionisation Energies
1.2.4Trends of Ionisation
1.2.5Trends in the Periodic Table
1.2.6Polarity
1.2.7Metals & Non-Metals
1.2.8Alkali Metals
1.2.9Alkaline Earth Metals
1.2.10Reactivity of Alkaline Earth Metals
1.2.11Redox
1.2.12Transition Metals
1.2.13Redox Reactions of Transition Metals
1.3Cell Structure & Function
1.4Cell Specialisation
1.5Tissue Structure & Function
1.5.1Human Gas Exchange
1.5.2Blood Vessels
1.5.3Atherosclerosis
1.5.4Skeletal Muscle
1.5.5Slow & Fast Twitch Fibres
1.5.6Neurones
1.5.7Speed of Transmission
1.5.8Action Potentials
1.5.9End of Topic Test - Neurones & Action Potentials
1.5.10Synapses
1.5.11Types of Synapse
1.5.12Medical Application
1.5.13End of Topic Test - Synapses
1.5.14Chemical Brain Imbalances
1.5.15Effect of Drugs on the Brain
1.6Working with Waves
1.7Waves in Communication
2Practical Scientific Procedures and Techniques
3Science Investigation Skills
3.1Scientific Processes
3.2Data Handling & Analysis
3.3Enzymes in Action
3.4Diffusion
3.5Plants & Their Environment
3.6Energy Content in Fuels
4Principles of Science II
4.1Extracting Elements
4.2Relating Properties to use of Substances
4.3Organic Chemistry
4.4Energy Changes in Industry
4.5The Circulatory System
4.5.1The Circulatory System
4.5.2Blood Vessels
4.5.3Blood Transfusion & the ABO Rhesus System
4.5.4The Heart
4.5.5The Cardiac Cycle
4.5.6Cardiac Output
4.5.7Coordination of Heart Action
4.5.8Heart Dissection
4.5.9Controlling Heart Rate
4.5.10Electrocardiograms
4.5.11Cardiovascular Disease
4.5.12Investigating Heart Rates
4.6Ventilation & Gas Exchange
4.7Urinary System
4.9Thermal Physics
4.9.1Power & Efficiency
4.9.2Work & Energy
4.9.3Conservation of Energy
4.9.4Pressure
4.9.5First Law of Thermodynamics
4.9.6Second Law of Thermodynamics
4.9.7Heat Engines, Heat Pumps & Refrigerators
4.9.8Non-Flow Processes
4.9.9p-V Diagrams
4.9.10Ideal Gases
4.9.11Ideal Gases 2
4.9.12Thermal Energy Transfer
4.9.13Thermal Energy Transfer Experiments
4.10Materials
5Contemporary Issues in Science
5.1Contemporary Issues in Science
5.2Analysing Scientific Information
Jump to other topics
1Principles of Science I
1.1Structure & Bonding
1.1.1Atomic Model
1.1.2Electron Shells, Sub-Shells & Orbitals
1.1.3Ionic Bonding
1.1.4Representing Ionic Bonds
1.1.5Covalent Bonding
1.1.6Representing Covalent Bonds
1.1.7Metallic Bonding
1.1.8Intermolecular Forces
1.1.9Intermolecular Forces 2
1.1.10End of Topic Test - Bonding
1.1.11Relative Masses
1.1.12The Mole
1.1.13Molar Calculations
1.1.14Molar Calculations 2
1.1.15Empirical & Molecular Formulae
1.1.16Balanced Equations
1.1.17Percentage Yield
1.1.18End of Topic Test - Amount of Substance
1.2Properties of Substances
1.2.1The Periodic Table
1.2.2Ionisation Energy
1.2.3Factors Affecting Ionisation Energies
1.2.4Trends of Ionisation
1.2.5Trends in the Periodic Table
1.2.6Polarity
1.2.7Metals & Non-Metals
1.2.8Alkali Metals
1.2.9Alkaline Earth Metals
1.2.10Reactivity of Alkaline Earth Metals
1.2.11Redox
1.2.12Transition Metals
1.2.13Redox Reactions of Transition Metals
1.3Cell Structure & Function
1.4Cell Specialisation
1.5Tissue Structure & Function
1.5.1Human Gas Exchange
1.5.2Blood Vessels
1.5.3Atherosclerosis
1.5.4Skeletal Muscle
1.5.5Slow & Fast Twitch Fibres
1.5.6Neurones
1.5.7Speed of Transmission
1.5.8Action Potentials
1.5.9End of Topic Test - Neurones & Action Potentials
1.5.10Synapses
1.5.11Types of Synapse
1.5.12Medical Application
1.5.13End of Topic Test - Synapses
1.5.14Chemical Brain Imbalances
1.5.15Effect of Drugs on the Brain
1.6Working with Waves
1.7Waves in Communication
2Practical Scientific Procedures and Techniques
3Science Investigation Skills
3.1Scientific Processes
3.2Data Handling & Analysis
3.3Enzymes in Action
3.4Diffusion
3.5Plants & Their Environment
3.6Energy Content in Fuels
4Principles of Science II
4.1Extracting Elements
4.2Relating Properties to use of Substances
4.3Organic Chemistry
4.4Energy Changes in Industry
4.5The Circulatory System
4.5.1The Circulatory System
4.5.2Blood Vessels
4.5.3Blood Transfusion & the ABO Rhesus System
4.5.4The Heart
4.5.5The Cardiac Cycle
4.5.6Cardiac Output
4.5.7Coordination of Heart Action
4.5.8Heart Dissection
4.5.9Controlling Heart Rate
4.5.10Electrocardiograms
4.5.11Cardiovascular Disease
4.5.12Investigating Heart Rates
4.6Ventilation & Gas Exchange
4.7Urinary System
4.9Thermal Physics
4.9.1Power & Efficiency
4.9.2Work & Energy
4.9.3Conservation of Energy
4.9.4Pressure
4.9.5First Law of Thermodynamics
4.9.6Second Law of Thermodynamics
4.9.7Heat Engines, Heat Pumps & Refrigerators
4.9.8Non-Flow Processes
4.9.9p-V Diagrams
4.9.10Ideal Gases
4.9.11Ideal Gases 2
4.9.12Thermal Energy Transfer
4.9.13Thermal Energy Transfer Experiments
4.10Materials
5Contemporary Issues in Science
5.1Contemporary Issues in Science
5.2Analysing Scientific Information
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