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A Nonlinear Viscoelastic Constitutive Model for Solid Propellant with Rate-Dependent Cumulative Damage.

Shenghao Chen1, Chunguang Wang1, Kaining Zhang1

  • 1State Key Laboratory for Strength and Vibration of Mechanical Structure, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China.

Materials (Basel, Switzerland)
|September 9, 2022
PubMed
Summary

This study reveals that the mechanical behavior of hydroxyl-terminated polybutadiene (HTPB) propellant is rate-dependent, impacting its damage accumulation and failure characteristics. A new constitutive model accurately predicts this behavior under varying strain rates.

Keywords:
constitutive modelfinite element analysisrate-dependent cumulative damagesolid propellantviscoelasticity

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Polymer Engineering

Background:

  • Solid propellants, like hydroxyl-terminated polybutadiene (HTPB), exhibit complex nonlinear viscoelastic behavior.
  • This behavior is largely attributed to cumulative damage from microflaw formation and growth.
  • Understanding rate-dependent mechanical characteristics is crucial for predicting propellant performance and safety.

Purpose of the Study:

  • To investigate the rate-dependent mechanical properties of HTPB propellant.
  • To develop a nonlinear viscoelastic constitutive model incorporating rate-dependent cumulative damage.
  • To establish a normalized failure criterion independent of strain rate.

Main Methods:

  • Standard relaxation and uniaxial tension tests were conducted on HTPB propellant at various velocities.
  • Digital Image Correlation (DIC) was employed to capture deformation data.
  • A constitutive model was developed using a pseudo strain concept and Prony series, integrating a rate-dependent damage variable.

Main Results:

  • HTPB propellant's mechanical behavior, including yield and failure stress, is significantly dependent on tensile velocity (strain rate).
  • Stiffness degradation and damage evolution were identified as rate-dependent processes.
  • The developed constitutive model and normalized failure criterion demonstrated accuracy in predicting material response.

Conclusions:

  • The cumulative damage process in HTPB propellant is rate-dependent.
  • The proposed nonlinear viscoelastic constitutive model effectively captures the rate-dependent mechanical characteristics.
  • The novel normalized failure criterion provides a strain-rate-independent assessment of material failure.