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<p>The discrete element method (DEM) has become a prevalent computational tool for investigating dynamic behaviors of discontinuous granular systems. While DEM demonstrates strong capabilities in simulating granular assembly failures such as concrete fracture, its effectiveness fundamentally relies on accurate characterization of material responses within the elastic regime, which serves as the critical foundation for subsequent quantitative analyses of highly nonlinear phenomena and fracture mechanics. To overcome existing theoretical constraints in conventional DEM approaches, this study proposes an innovative lattice bonded DEM (LB-DEM) model that links macroscopic elastic moduli with mesoscopic lattice stiffness parameters. Distinguished from the widely adopted Born-DEM model, our model achieves unrestricted Poisson’s ratio selection within the range of 0 &lt; <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(v\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>v</mi> </math></EquationSource> </InlineEquation> ≤ 0.5, thereby eliminating a key limitation in traditional implementations. Comprehensive validation through multi-physics benchmarks – including tensile, shear, bending, large deformation, stress concentration, stress wave propagation, and fracture tests – demonstrates remarkable consistency with analytical solutions, finite element simulations, and experimental observations. Furthermore, the model enables strategic selection of coarse particle sizes to optimize computational efficiency while maintaining numerical accuracy, presenting practical advantages for large-scale simulations.</p>

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A lattice bonded discrete element method (LB-DEM) for elastic continuum including crack propagation

  • 期刊论文

  • 发表日期：

    2025年8月25日

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  • Hai Tian,
  • Ying Jing,
  • Sajjad Hussain,
  • Kaiwei Chu,
  • Mitsuteru Asai,
  • Lu Jing

摘要

The discrete element method (DEM) has become a prevalent computational tool for investigating dynamic behaviors of discontinuous granular systems. While DEM demonstrates strong capabilities in simulating granular assembly failures such as concrete fracture, its effectiveness fundamentally relies on accurate characterization of material responses within the elastic regime, which serves as the critical foundation for subsequent quantitative analyses of highly nonlinear phenomena and fracture mechanics. To overcome existing theoretical constraints in conventional DEM approaches, this study proposes an innovative lattice bonded DEM (LB-DEM) model that links macroscopic elastic moduli with mesoscopic lattice stiffness parameters. Distinguished from the widely adopted Born-DEM model, our model achieves unrestricted Poisson’s ratio selection within the range of 0 <  \(v\) v  ≤ 0.5, thereby eliminating a key limitation in traditional implementations. Comprehensive validation through multi-physics benchmarks – including tensile, shear, bending, large deformation, stress concentration, stress wave propagation, and fracture tests – demonstrates remarkable consistency with analytical solutions, finite element simulations, and experimental observations. Furthermore, the model enables strategic selection of coarse particle sizes to optimize computational efficiency while maintaining numerical accuracy, presenting practical advantages for large-scale simulations.