The Stress-Strain Behavior of Mechanically Degradable Polymers

  • R. J. Farris


Non-linear constitutive equations are developed for highly filled polymeric materials. These materials typically exhibit an irreversible stress softening called the “Mullins’ Effect.” The development stems from attempting to mathematically model the failing microstructure of these composite materials in terms of a linear cumulative damage model. It is demonstrated that pth order Lebesgue norms of the deformation history can be used to describe the state of damage in these materials and can also be used in the constitutive equations to characterize their time dependent response to strain distrubances. This method of analysis produces time dependent constitutive equations, yet they need not contain any internal viscosity contributions. This theory is applied to experimental data and shown to yield accurate stress predictions for a variety of strain inputs. Included in the development are analysis methods for proportional stress boundary valued problems for special cases of the non-linear constitutive equation.


Constitutive Equation Relaxation Modulus Solid Propellant Cumulative Damage Fading Memory 
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Copyright information

© Springer Science+Business Media New York 1971

Authors and Affiliations

  • R. J. Farris
    • 1
  1. 1.College of EngineeringUniversity of UtahSalt Lake CityUSA

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