Chapter 1: Mechanical Properties of Materials
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What is the primary purpose of using material selection charts?

  • To find the cheapest materials
  • To evaluate aesthetic properties of materials
  • To determine the environmental impact of materials
  • To find the best materials for stiffness-limited designs (correct)

Polymers have high values of Young's modulus, making them suitable for stiffness-limited designs.

False (B)

Name one chart used in material selection besides the Young's modulus - density chart.

Strength - cost or Strength - Maximum service temperature

The software developed by Prof. Ashby for material selection is called ___.

<p>Cambridge Engineering Selector (CES)</p> Signup and view all the answers

Match the following material property charts with their use:

<p>Young’s modulus - density = Stiffness vs weight Strength - cost = Cost efficiency Tensile Strength - fracture toughness = Durability under stress Strength - Maximum service temperature = Thermal performance</p> Signup and view all the answers

Which of the following materials is most likely to exhibit brittleness?

<p>Ceramics (B)</p> Signup and view all the answers

Creep can occur even below the elastic limit of a material.

<p>True (A)</p> Signup and view all the answers

What is the term used to describe the property of a material that breaks without much permanent distortion?

<p>brittleness</p> Signup and view all the answers

____ fractures are progressive and begin as minute cracks under fluctuating stress.

<p>Fatigue</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Creep = Time-dependent strain under constant stress Fatigue = Fracture due to repeated stress Brittleness = Property of breaking without much distortion Toughness = Energy to break a volume of material</p> Signup and view all the answers

What is the formula for the performance index?

<p>I=E/ρ (A)</p> Signup and view all the answers

Ceramics are less efficient materials compared to carbon fiber reinforced composites.

<p>False (B)</p> Signup and view all the answers

What does the variable 'M' represent in the context of maximizing materials performance?

<p>Materials index</p> Signup and view all the answers

The equation Log E = Log ρ + Log I describes a relationship involving ________ and ________.

<p>density, index</p> Signup and view all the answers

Match the materials with their performance classification:

<p>Ceramics = Most efficient materials Steels = Comparable performance to aluminum alloys Aluminum alloys = Comparable performance to steels Wood = Used in various applications with specific strengths</p> Signup and view all the answers

Which materials are identified as having comparable performance?

<p>Wood, steels, and aluminum alloys (B)</p> Signup and view all the answers

What is a good strategy for selecting materials in the design process?

<p>Use charts to eliminate unsuitable materials.</p> Signup and view all the answers

The charts should be used to narrow down material options too quickly.

<p>False (B)</p> Signup and view all the answers

Which material class is typically the lightest according to material selection charts?

<p>Foams (A)</p> Signup and view all the answers

Ductile fracture only involves elastic energy.

<p>False (B)</p> Signup and view all the answers

What performance requirement would you consider if you want to select a material that is both lightweight and stiff?

<p>Choose materials near the top left corner of the material selection chart.</p> Signup and view all the answers

Ceramics exhibit __________ toughness compared to metals.

<p>small</p> Signup and view all the answers

Match the material to its toughness classification:

<p>Metals = Large toughness Ceramics = Small toughness Unreinforced Polymers = Very small toughness Rubber = Not stiff</p> Signup and view all the answers

Young's modulus is used to describe the stiffness of a material.

<p>True (A)</p> Signup and view all the answers

The process of choosing materials based on performance specifications is called __________.

<p>material selection</p> Signup and view all the answers

Which of the following materials has a Poisson's ratio of approximately 0.40?

<p>Polymers (C)</p> Signup and view all the answers

The modulus of elasticity is also known as the shear modulus.

<p>False (B)</p> Signup and view all the answers

What happens to density when Poisson's ratio is greater than 0.50?

<p>Density increases</p> Signup and view all the answers

The relationship defined by Hooke's Law is expressed as s = E_____ .

<p>ε</p> Signup and view all the answers

Match the following properties with their descriptions:

<p>Yield stress = The stress at which a material begins to deform plastically Modulus of elasticity = The ratio of stress to strain in a material Failure stress = The stress at which a material ultimately fails or breaks Elastic shear modulus = The ratio of shear stress to shear strain in a material</p> Signup and view all the answers

Which stress-strain relationship is characterized by permanent deformation?

<p>Plastic (B)</p> Signup and view all the answers

The shear modulus is denoted by the symbol G.

<p>True (A)</p> Signup and view all the answers

What is the approximate Poisson's ratio for metals?

<p>0.33</p> Signup and view all the answers

What is the primary difference between ductility and malleability?

<p>Ductility is tensile quality, while malleability is compressive quality. (B)</p> Signup and view all the answers

Resilience is the ability of a material to absorb energy inelasticly.

<p>False (B)</p> Signup and view all the answers

What is the formula for total deformation ($ abla$)?

<p>𝛿=Σ(FiLi/AiEi)</p> Signup and view all the answers

The proof resilience per unit volume is called the _________.

<p>modulus of resilience</p> Signup and view all the answers

Match the following hardness testing methods with their definitions:

<p>Brinell = Uses a steel ball to indent the material Rockwell = Measures indentation depth under a large load Vickers = Applies a diamond indenter for a precise measurement</p> Signup and view all the answers

Which of the following statements about hardness is true?

<p>Hardness relates to how well a material can be scratched or penetrated. (B)</p> Signup and view all the answers

Malleability and ductility can be used interchangeably in material science.

<p>False (B)</p> Signup and view all the answers

What does resilience help a material to address?

<p>Shocks and vibrations</p> Signup and view all the answers

The maximum energy stored in a body up to its elastic limit is known as ________ resilience.

<p>proof</p> Signup and view all the answers

How is energy stored in materials best captured?

<p>In the elastic region. (B)</p> Signup and view all the answers

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Flashcards

Modulus of Elasticity (E)

A measure of a material's stiffness in tension or compression. It represents the ratio of stress to strain within the elastic region.

Hooke's Law

The relationship between stress and strain within the elastic region of a material. It states that stress is directly proportional to strain.

Poisson's Ratio (n)

The ratio of lateral strain to axial strain in a material subjected to uniaxial stress. It describes how much a material changes in width compared to its length when stretched.

Shear Modulus (G)

The measure of a material's resistance to shear deformation. It's the ratio of shear stress to shear strain.

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Bulk Modulus (K)

The measure of a material's resistance to volume change under hydrostatic pressure. It's the ratio of pressure to volumetric strain.

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Elastic Behavior

A material's behavior that is independent of the loading history. It returns to its original shape after removing the load.

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Inelastic Behavior

A material's behavior affected by its previous loading history. It doesn't fully recover its original shape after unloading.

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Plastic Behavior

A material's behavior that exhibits a permanent deformation after a certain stress level is reached. This deformation is not recovered when the load is removed.

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Hardness

The ability of a material to resist scratching or indentation.

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Brittleness

A material's tendency to break without significant deformation under stress. Non-ductile materials are brittle.

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Creep

The slow and gradual deformation of a material under constant stress over time, especially at high temperatures.

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Fatigue

The tendency of a material to fail (break) under repeated or fluctuating stress.

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Toughness

The amount of energy a material can absorb before breaking. It is represented by the area under the stress-strain curve.

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Young's Modulus

A measure of a material's stiffness, indicating how much it deforms under applied stress.

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Ductility

A material's ability to deform permanently under stress before fracturing.

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Material Selection Chart

A visual tool for material selection, showing the relationship between two material properties.

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Composites

A class of materials often used in structural applications due to their high strength-to-weight ratio.

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Yield Strength

A material's ability to resist permanent deformation under stress.

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Compressive Strength

A material's ability to resist deformation under a compressive load.

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Total Deformation

Total deformation is the overall change in length of a material due to applied forces. It's calculated by summing the deformation of each segment of the material, considering its force, initial length, cross-sectional area, and elastic modulus.

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Malleability

Malleability is a material's ability to be hammered or pressed into thin sheets without breaking or cracking, even under significant force.

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Resilience

Resilience is a material's capacity to absorb energy through elastic deformation and then return to its original shape after the force is removed.

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Proof Resilience

Proof resilience is the maximum amount of energy a material can store elastically before permanent deformation occurs.

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Modulus of Resilience

Modulus of resilience is the amount of energy that can be stored per unit volume of a material up to its elastic limit.

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Hardness Testing Methods

Brinell, Rockwell, and Vickers are common methods used to measure hardness.

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Indentation and Hardness

A smaller indentation during hardness testing indicates a harder material.

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Hardness and Strength

Hardness is closely related to strength as a material's resistance to deformation is often related to its ability withstand scratches and dents.

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Cambridge Engineering Selector (CES)

A software program developed by Professor Mike Ashby to assist in material selection by providing tools and charts to analyze and compare materials.

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Materials Index

A property index used to classify materials based on their performance in a specific application. For example, the index E/ρ (Young's modulus/density) is used to evaluate stiffness-to-weight ratio.

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Young's modulus / density (E/ρ)

The ratio of Young's modulus to density (E/ρ), which represents the stiffness-to-weight ratio of a material. A higher index indicates a stiffer and lighter material.

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Maximum Service Temperature

The ability of a material to withstand high temperatures without significant degradation or loss of properties.

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Performance Index (I)

A measure of material efficiency considering both its strength (E) and its density (ρ). It shows how effectively a material uses its weight to resist stress.

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Materials Index Charts

A method to compare the performance of different materials by plotting their properties on a log-log graph, making it easy to visualize which materials are most efficient for specific applications.

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Material Selection

The process of selecting the most suitable material for a particular application by considering factors like performance index, material properties, and manufacturing methods.

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Tensile Strength (σ)

The measure of a material's resistance to being stretched or compressed. It is a crucial property for many engineering applications.

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Study Notes

Chapter 1: Mechanical Properties of Materials

  • Materials are physical substances used to make things.
  • Knowledge of materials allows for comparison of everyday items (e.g., wood, metal, paper).
  • Material properties include hardness, strength, flexibility, and magnetic behavior.
  • These properties are related to everyday uses of the materials.
  • Materials are crucial in engineering design and analysis.
  • A wide variety of materials are available for diverse applications (aerospace to household).
  • Material selection considers characteristics, specific application needs, advantages, and limitations.

I. Materials

  • GLARE® is used in upper fuselage.
  • Advanced cabin materials are used.
  • CFRP rear pressure bulkhead is made of CFRP.
  • CFRP vertical tail plane is constructed with CFRP.
  • CFRP horizontal tail plane is made of CFRP.
  • CFRP outer flaps and j-nose are made from CFRP.
  • LBW (lower fuselage) and floor beams for upper deck are made of CFRP.
  • CFRP center wing box components, including wing ribs and new alloys, are used.

Materials Families

  • Materials are broadly classified into metals, polymers, ceramics, and composites.
  • Metals can be further categorized into non-ferrous (e.g., aluminum, brass, copper, magnesium) and ferrous (e.g., cast iron, carbon steel, alloy steel, stainless steel)
  • Polymers include thermoplastics, thermosets, and elastomers.
  • Ceramics are generally oxides, nitrides, carbides, and sometimes, glasses or related compounds.
  • Composites are combinations of two or more materials like a matrix and reinforcement.

Composites

  • Composite materials are engineered from two or more constituent materials that remain separate while forming one component.
  • One material usually forms the matrix and the other is the reinforcement.
  • The materials must be chemically inert, unless a targeted degree of reaction is desired at the interface for bonding and strength.
  • Typical applications include aerospace applications such as aircraft components.

Advantages/Disadvantages of Composites

  • Advantages:
    • Light weight and low density
    • High creep resistance
    • High strength-to-weight ratio
    • Fatigue resistance
    • Ease of fabrication
    • High resistance to impact damage
    • Improved corrosion resistance
  • Disadvantages:
    • High cost of raw materials and fabrication
    • Composites are brittle and easily damaged (especially transversely)
    • Weak matrix, low toughness
    • Difficult to reuse and dispose of
    • Difficulty in attachment
    • Difficulty with analysis
    • Cost fluctuation

Examples of Disadvantages

  • Debonding within sandwich structure can lead to component failure (e.g., America's Cup boat).
  • Damage to base of aircraft tail can lead to catastrophic failure (e.g., American Airlines Flight 587).

Composites/Boeing

  • Increasing use of composites in newer Boeing aircraft models (e.g., 787) and the Airbus A380.
  • Composite material percentages vary for different aircraft models.

Metals vs Composites

  • Data demonstrating the continuous increase of composite materials in Airbus and Boeing aircraft over the years.

Distribution of Materials: Boeing 787

  • Pie chart showing distribution of materials (e.g., carbon laminate, other composites) in the Boeing 787.

Airbus A380

  • 25% of the Airbus A380 is composed of composites.
  • Specific components like the rear pressure bulkhead, CFRP sections, floor beams, wing ribs, and flap tracks are identified.

Materials are classified

  • Airbus A350: Materials are mostly composites (52%).
  • Other material types and portions are identified (e.g. titanium, aluminum, steel, etc).
  • The materials used in the design and construction of the Airbus A350 are discussed.

Metallurgical Materials & Components (Rafale)

  • Dassault Rafale: Composite materials are frequently used to reduce weight.

II. Properties of Materials

  • Various properties are outlined in detail based on the type of material (e.g., GLARE® in upper fuselage, advanced cabin materials, CFRP, KBE design, etc)

Introduction

  • Material application depends on a thorough understanding of specific properties across different conditions.
  • Property defines a quantitative/qualitative measurement of how/how much a material reacts to applied influences like force and temperature.
  • A large variety of properties exists in materials.
  • Mechanical properties determine how materials react to applied forces.
  • Mechanical properties are frequently related to the elastic/plastic behavior of a material.
  • Mechanical properties are expressed as a relation of stress and strain.
  • Knowledge of mechanical properties lets one predict behavior under load.

Classification of Material Properties

  • Physical properties: Density, Optical Properties, Conductivity (Acoustical - sound transmission/absorption)
  • Mechanical properties: Strength, Toughness, Stiffness, Elasticity, Plasticity, Ductility, Brittleness, and Hardness.
  • Electrochemical properties: Corrosion, Coating, and Wheat Phenomena
  • Technological properties: Extractive, Metal Forming, Welding, Powder Metallurgy, Machining, Casting

Property of Material

  • Property refers to a material's defining characteristics and their implications in various functions
  • Examples include stress, strain, stiffness, ductility, elastic/plastic deformation, and toughness

Stress

  • Tensile stress (σ) is calculated as force (F) divided by the original cross-sectional area (Ao) before loading.
  • Shear stress (τ) is calculated as the force (Fs) applied parallel to a material's surface area (Ao)
  • Stress is measured in N/mm² or MPa

Strain

  • Strain (ε) is the amount of deformation per unit length.
  • Tensile strain (ε) – change in length (Δl) divided by the initial length (l0).
  • Lateral strain - change in width relative to the initial width.
  • Shear strain– change in angle (Y) and is usually associated with a tangential force or torque and a perpendicular (normal) displacement.

Stress and Strain

  • Relationships between stress and strain, true stress, true strain, engineering stress, engineering strain are discussed
  • The relationship between these quantities with various charts and diagrams is included.

Stiffness

  • Stiffness is the resistance of a material to elastic deformation
  • Hooke's law states that within the elastic region, stress is proportional to strain (σ= Εε).

Design/Safety Factors

  • Design uncertainties are considered to ensure the materials are safe.
  • Factors of safety (N) are used to define the maximum stress to material failure.

Exercises

  • Several example problems are included for working through and practicing various mechanical properties, stress, strain, etc.

Malleability

  • Malleability is the ability of a material to be flattened into thin sheets without cracking (through cold or hot working).
  • Malleability is a compressive property while ductility is a tensile property

Resilience

  • Resilience is the capacity of a material to absorb energy elastically.
  • The maximum energy stored up to the elastic limit is termed proof resilience.
  • Proof resilience per unit volume is modulus of resilience.

Hardness

  • Hardness is a material's resistance to scratching, abrasion, cutting, and penetration.
  • Hardness methods are employed to determine a material’s hardness (Brine, Rockwell, Vickers)

Brittleness

  • Brittleness is the property of breaking without much distortion.
  • Materials can exhibit ductile or brittle behavior depending on temperature.

Creep

  • Creep describes the gradual, progressive deformation of a material over time at a constant stress.
  • Creep is primarily a high-temperature phenomenon and occurs even at loads below the material's elastic limit.

Fatigue

  • Fatigue is the progressive, gradual crack growth in a material from an applied fluctuating or repeated stress.

Toughness

  • Toughness is the amount of energy required to break a set unit volume of material.
  • It is often calculated by the area under the stress-strain curve

Material Selection

  • Material selection considers performance targets (e.g., cost, stiffness, weight, strength)
  • Material Selection charts and graphs are useful to narrow down the options.
  • The diagrams and charts are particularly effective in visualizing competing materials

Using Material Selection Charts

  • Materials of a same material class (e.g., metals, etc) are clustered together.
  • Charts can be used to easily distinguish between materials based on criteria (e.g., high strength, high stiffness, density).

Material Properties Used in Automotive Body Components

  • Different material types are commonly used for various components.
  • Pie charts and graphs demonstrate the use of mild steel, high strength steel, ultra-high steel, hot-formed steel, aluminum, etc.
  • Properties relate to elongation, strength, and their implications for various performance.

References

  • A list of cited sources is provided for further research and understanding in this subject matter.

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Explore the fundamental mechanical properties of materials, from their physical characteristics to their applications in engineering design. This quiz delves into various materials like wood, metal, and composites, discussing their unique properties and usage in real-world contexts. Understand how materials impact the functionality of products across different industries.

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