Polymer Fatigue: Predicting Failure

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Questions and Answers

Which of the following adjustments would most likely result in decreased density when striving to create a foam?

  • Compressing the material to reduce its volume.
  • Increasing the atomic weight of the constituent elements.
  • Decreasing the mass of the material while maintaining a constant volume. (correct)
  • Increasing mass while maintaining constant volume.

A material is subjected to a bending moment. What type of stress is experienced on the top and bottom surfaces, respectively?

  • Shear and Compression
  • Tension and Compression (correct)
  • Tension and Shear
  • Compression and Tension

Which of the following best describes the relationship between Young's modulus (E), stress ($\sigma$), and strain ($\epsilon$) in the elastic region of a material?

  • $E = \sigma / \epsilon$ (correct)
  • $E = \sigma \times \epsilon$
  • $E = \sigma + \epsilon$
  • $E = \epsilon / \sigma$

A material returns to its original shape after the removal of an applied stress. Which term most accurately describes this behavior?

<p>Elasticity (D)</p> Signup and view all the answers

What microstructural feature is LEAST sensitive to the Elastic Modulus (Young's Modulus)?

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

Consider a scenario where a material is constrained from changing shape in the transverse direction. How will this constraint affect the material's Young's modulus when subjected to tension?

<p>Young's modulus will increase. (A)</p> Signup and view all the answers

In the context of material science, what does a higher cohesive energy between atoms in a solid typically indicate?

<p>Higher melting point. (A)</p> Signup and view all the answers

Which type of atomic bonding is characterized by electrons detaching from parent atoms to form a negatively charged swarm, leaving behind positively charged ions?

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

A material exhibits different properties when measured in different directions. What term best describes this behavior?

<p>Anisotropic (D)</p> Signup and view all the answers

Increasing modulus and density in a material can be achieved by what general class of materials modification?

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

What is the most accurate definition of 'true stress'?

<p>Applied force divided by instantaneous cross-sectional area. (B)</p> Signup and view all the answers

What characterises an elastomeric material?

<p>Occasional cross-linking allowing for significant deformation even above its glass transition temperature. (B)</p> Signup and view all the answers

What is the typical application of the process of Solution Hardening?

<p>Increasing yield strength by impeding dislocation movement. (B)</p> Signup and view all the answers

For a given material, which represents the idealized force necessary to break interatomic bonds?

<p>The breaking of the atomic bond in a perfect lattice. (B)</p> Signup and view all the answers

What is the effect of crystalline imperfections on the ideal strength of materials?

<p>Imperfections decrease the actual strength compared to the ideal strength. (B)</p> Signup and view all the answers

What role do dislocations have with material properties?

<p>Soften metals and make them more ductile. (B)</p> Signup and view all the answers

Which of the following statements most accurately describes the effect of increasing the yield strength of a metal on its fracture toughness?

<p>Increasing yield strength may decrease fracture toughness. (A)</p> Signup and view all the answers

What is the primary purpose of using fibers in a composite material to improve toughness?

<p>Bridging cracks and preventing crack propagation. (A)</p> Signup and view all the answers

In the context of fatigue failure, what is the significance of the endurance limit?

<p>The stress level below which fatigue failure will not occur, regardless of the number of cycles. (A)</p> Signup and view all the answers

How does shot peening mitigate fatigue cracking? Choose the most accurate statement.

<p>By generating residual compressive stresses at the surface. (D)</p> Signup and view all the answers

Flashcards

Stiffness

Resistance to elastic shape change. Material returns to its original shape after stress.

Strength

Resistance to permanent distortion or total failure. Measured by yield strength, tensile strength, or fracture strength.

Density (ρ)

Mass per unit volume. Influences material weight and applications.

Young's Modulus (E)

Ratio of stress to strain in the elastic region. Indicates material's stiffness.

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Strain (ε)

Change in length divided by original length under stress.

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Stress (σ)

Force per unit area. Can be tensile (pulling) or compressive (pushing).

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Yield Strength (σy)

The maximum stress a material can withstand before permanent deformation.

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Surface Treatment

A surface treatment applied by polishing, plating, or painting.

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Ductility

The ability of a solid material to withstand tensile stresses, being stretched without breaking

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Composite material

Materials made from two or more constituent materials with significantly different physical or chemical properties.

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Soldering

Joining materials by melting a filler metal into the joint.

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Melting Point

The point at which a solid substance melts.

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Thermal expansion

The change in dimension of a material due to temperature change.

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Grain

A microscopic crystalline region in a material.

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Quenching

Rapid cooling of a material to lock in properties or phases.

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Amorphous

Material that has no long-range order / non-crystalline structure.

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Tempering

A type of heat treatment used to increase the toughness of ferrous alloys.

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Hardness

Measure of a material’s resistance to localized plastic deformation.

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Atomic Packing

The way atoms are arranged, can be closely or loosely packed.

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Vacancy

The location is an atom missing from its crystal lattice structure.

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Study Notes

  • Modifying polymer with fillers, impact modifiers, and reinforcement can significantly alter fracture toughness

Predicting Fatigue Life

  • Fatigue failure follows a predictable pattern
  • Fatigue life is estimated according to Coffin's Law for low-cycle fatigue
  • Basquin's Law is used for high-cycle fatigue

Example of Basquin's Law

  • Using Basquin's Law, a component with specified fatigue life and material properties fails
  • Fatigue life if stress amplitude increases from 60 MPa to 120 MPa is 200,000 cycles

Stress Amplitude

  • Stress amplitude is generally not constant

Mean Stress and Variable Amplitude

  • Fatigue is affected by mean stress and variable amplitudes under cyclic loading

Goodman's Rule

  • The amplitude of the alternating stress component decreases linearly as the mean stress increases

Miner's Rule

  • Damage analysis accounts for fatigue failure when stress amplitude changes
  • Failure occurs when "Ni" exceeds 1

Fatigue Damage and Cracking

  • High-cycle fatigue yields a tiny plastic zone, folding forward during compression
  • Low-cycle fatigue makes the plastic zone large enough for voids to nucleate and coalesce, advancing crack
  • Crack propagates during tensile part of stress cycle; compressive stress presses crack faces together
  • Material acts to resist crack growth with shot peening

Cyclic Stress Intensity Range

  • Crack grows during the crack growth phase

Safe Design

  • Designs need to calculate the number of loading cycles
  • Possible before cracks grow to dangerous lengths
  • The Paris Law accounts for crack analysis due to fatigue

Endurance Limit

  • The endurance limit is the most important property indicating fatigue strength
  • Steels and polymers have an endurance limit 0.33 to 0.6 of tensile strength
  • Glass and ceramics have an endurance limit of 0.9 of tensile strength

Remedies for Fatigue and Cracks:

  • Use surface treatments and polish
  • Avoid sharp corners
  • Do not use any irregularities and notches
  • Apply compressive stress at the surface

Phase Diagrams and Phase Transformation

  • Indicates the chemical status of an alloy at a certain temperature
  • Chemical status is the equilibrium state of lowest energy material

Phases

  • Phase is a homogeneous portion of a system with uniform physical and chemical characteristics
  • Same composition, varying cell structures, a, B, and L (Alpha, Beta, and Liquid)

Alloys

  • Alloy examples are brass (Cu + Zn), Monel (Cu + Ni), bronze (Cu + Sn), and solder (Pb + Sn)

Binary Eutectic Phase Diagram

  • Liquid solidifies into two unique solids, α and β, at non-solubility
  • The liquidus line indicates the temperature above which the substance is liquid
  • The solidus line indicates the temperature below which the substance is solid
  • The solvus line indicates the solubility limit that crosses the line upon cooling
  • α and β contain material A and B; dissolved in different conditions
  • Solvus line solubility is α or β, crossed during cooling
  • Precipitates of a second phase form can be dissolved in alpha or beta

Isomorphous Diagrams

  • Shows high or low solubility levels in primary phase
  • Eutectic undergoes liquid transformation into two intermixed solid phases

Phase Transformation: Eutectic

  • Indicates starting with one phase and ending with two

Eutectoid Phase Transformation

  • The solid transformation into two intermixed solid phases undergoes a transformation
  • Composition, process, and the microstructure of alloy elements is characteristic and affect their properties

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