What is a hardening function? What does it represent?

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SUMMARY

The discussion centers on the selection of hardening functions for modeling material behavior under stress, specifically in the context of Earth's heated crust using COMSOL Multiphysics software. The most common hardening functions mentioned are linear and kinematic, which relate to the material's strain response. The user seeks guidance on determining appropriate isotropic and kinematic tangent moduli, which are essential parameters in their modeling. Recommendations include using an elastic perfectly plastic model with specific elastic constants and yield strength, while considering pressure and temperature sensitivity for improved accuracy.

PREREQUISITES
  • Understanding of plastic deformation and hardening functions
  • Familiarity with COMSOL Multiphysics software
  • Knowledge of isotropic and kinematic tangent moduli
  • Basic mechanics of materials principles
NEXT STEPS
  • Research the elastic perfectly plastic model in COMSOL Multiphysics
  • Learn about isotropic and kinematic tangent moduli
  • Investigate pressure and temperature sensitivity in material modeling
  • Explore lecture notes and resources on mechanics of materials
USEFUL FOR

Engineers, geophysicists, and researchers involved in material modeling and simulation, particularly those using COMSOL Multiphysics for geomechanical applications.

PinkGeologist
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So, I was introduced tangentially to plastic deformation and hardening functions. I see we have three basic function ... and the linear and kinematic seem to be the most common defaults ... I see it is a measure of the strain of a material under stress.

But how would you know which version to use for some material? Is it some tabled value like thermal conductivity or specific heat?

For instance, I need to choose a "hardening function" for Earth's heated crust as it undergoes the pressure of an inflating magma reservoir. I cannot find such a function in the literature so how would I go about choosing some reasonable function?

As an added note, this has to be applied in COMSOL multiphysics software which requires a "Isotropic tangent modulus" and a "kinematic tangent modulus" ... I cannot find ANY value for those parameters. I'm not even sure WHAT they are. Are these parts of the hardening function to describe the curvature of the line?

Since mechanics and materials is not the mainstay of what I do, this is all new to me.

Thanks for any help!
 
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Without knowing the details of the COMSOL models, I would pick an elastic perfectly plastic model. Since they are using tangent moduli, setting them equal to zero would probably do this. This means that after the material yields, the shear stress will remain constant. This will require 2 elastic constants and a yield strength which should be findable. Depending on whether you are near the surface, to improve the results i would either take into account the pressure/temperature sensitivity or the fracture behavior next if needed.
 

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