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Mechanically Activated Transition from Linear Viscoelasticity to Yielding: Correlation-Based Unification.

Maxim S Arzhakov1, Irina G Panova1, Aleksandr A Kiushov1

  • 1Department of Chemistry, M.V. Lomonosov Moscow State University, Leninskie Gory 1, 119991 Moscow, Russia.

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The mechanically activated transition (MAT) in ductile materials is unified using master curves. This approach reveals consistent yielding criteria across diverse materials like plastics, foams, and pastes.

Keywords:
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Area of Science:

  • Materials Science
  • Rheology
  • Solid Mechanics

Background:

  • The mechanically activated transition (MAT) is crucial for ductile material behavior, bridging linear viscoelasticity and yielding.
  • This transition is defined by the proportional limit (E0, ε0) and yield point (Ey, εy), influencing macroscopic material properties.

Purpose of the Study:

  • To establish quantitative correlations for MAT parameters in bulk plastics and polymeric foams.
  • To develop a unified framework for describing the mechanical response within the MAT region across different material classes.

Main Methods:

  • Determination of quantitative correlations between E0, ε0, Ey, and εy.
  • Construction of a master curve by recalculating stress-strain data into reduced coordinates.
  • Generalization of findings by incorporating data on soil-based pastes and computer simulations of plastic deformation.

Main Results:

  • Identified yielding criteria: E0/Ey = 1.55 ± 0.15 and εy/ε0 = 2.1 ± 0.2.
  • Demonstrated successful unification of mechanical response within the MAT region using master curves for plastics, foams, pastes, and virtual models.
  • Proposed an algorithm for rapid analysis of mechanical responses in plastic systems within the MAT region.

Conclusions:

  • The mechanical response within the MAT region can be unified across diverse materials, including polymers, foams, and pastes.
  • The master curve approach provides a generalized method for understanding and predicting material behavior during the transition to yielding.
  • The proposed methodology offers advances in analyzing plastic systems, with outlined limitations and future potential.