Modeling a crack in a material.

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SUMMARY

This discussion focuses on modeling cracks in material surfaces using Weierstrass functions. Participants explore the behavior of cracks over time, specifically whether they become more jagged or smooth due to exposure to damage. The conversation highlights the need for mathematical modeling techniques to accurately represent crack propagation and surface changes in materials.

PREREQUISITES
  • Understanding of Weierstrass functions in mathematical modeling
  • Knowledge of material science principles related to crack propagation
  • Familiarity with surface roughness concepts in engineering
  • Basic grasp of damage mechanics and its effects on material properties
NEXT STEPS
  • Research advanced applications of Weierstrass functions in material science
  • Explore the effects of environmental factors on crack behavior in materials
  • Study mathematical modeling techniques for simulating crack growth
  • Investigate methods for measuring surface roughness changes over time
USEFUL FOR

Material scientists, engineers specializing in fracture mechanics, and researchers interested in mathematical modeling of material properties.

nukapprentice
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I was wondering if anyone has ever tried to model/fit a crack on a material surface with a Weierstrass function.
 
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I'm also wondering whether a crack exposed to damage becomes more jagged over time or more smooth? Is there a process that reverses the other one, i.e. from being more jagged to smooth, vice/versa?
 
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