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Updated: May 18, 2026

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
09:12

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Published on: June 28, 2015

Dynamic fracture in irregularly structured systems.

Xiaodan Ren1, Jie Li

  • 1School of Civil Engineering, Tongji University, Shanghai, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Irregular microstructures in materials significantly impact dynamic fracture behavior. This study proposes a new equation relating crack speed and fracture energy, highlighting the role of mesoscopic irregularities in fracture instabilities.

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Area of Science:

  • Materials Science
  • Computational Mechanics
  • Fracture Dynamics

Background:

  • Conventional numerical methods for fracture dynamics often rely on regular discretizations.
  • Real-world materials exhibit irregular microstructures that influence fracture propagation.

Purpose of the Study:

  • To investigate dynamic fracture using irregular domain discretizations.
  • To explore the link between microscopic crack branching and macroscopic fracture instability.
  • To develop a relationship between crack speed and fracture energy.

Main Methods:

  • Numerical simulation of dynamic fracture with irregular discretizations.
  • Analysis of crack branching patterns by varying crack-tip cohesion parameters.
  • Calculation of crack speeds and derivation of an empirical equation.

Main Results:

  • Irregularities in mesoscopic structures contribute to intrinsic instabilities in dynamic fracture.
  • A novel equation relating crack speed to fracture energy was proposed based on simulation data.
  • Simulations provided detailed diagrams of crack branching and crack speed variations.

Conclusions:

  • Mesoscopic structural irregularities are crucial factors in dynamic fracture instabilities and crack speed.
  • Existing single-crack continuum theories may require modification to accurately model complex dynamic fracture phenomena.