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Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
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Two-scale concurrent simulations for crack propagation using FEM-DEM bridging coupling.

Manon Voisin-Leprince1, Joaquin Garcia-Suarez1, Guillaume Anciaux1

  • 1Institute of Civil Engineering, Institute of Materials Science and Engineering, École Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland.

Computational Particle Mechanics
|October 3, 2024
PubMed
Summary
This summary is machine-generated.

This study validates a coupled Finite Element Method (FEM) and Discrete Element Method (DEM) approach for simulating material failure. The FEM-DEM coupling accurately models crack propagation and wear in granular materials, reducing computational cost for large domains.

Keywords:
Bridging couplingCrack propagationDiscrete element methodFinite element methodGranularMultiscale

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Area of Science:

  • Computational mechanics
  • Materials science
  • Numerical modeling

Background:

  • Discrete Element Method (DEM) is effective for granular material simulation but computationally expensive for large domains.
  • Finite Element Method (FEM) is efficient for small deformations but less suitable for complex granular behavior.
  • Coupling DEM and FEM offers a potential solution to balance accuracy and computational efficiency.

Purpose of the Study:

  • To evaluate the accuracy of a strong FEM-DEM coupling formulation for simulating material failure events.
  • To assess the impact of DEM domain size on the accuracy of the coupled approach.
  • To validate the FEM-DEM coupling against pure DEM simulations for crack propagation and wear.

Main Methods:

  • A strong coupling formulation was implemented, linking DEM particles to FEM nodal interpolations in an overlapping region.
  • Simulations were performed for mode I crack propagation and shearing of rough surfaces leading to debris.
  • The accuracy of the coupled method was assessed by varying the size of the DEM domain and comparing results to pure DEM simulations.

Main Results:

  • The FEM-DEM coupling accurately captures material failure, including crack propagation and debris creation.
  • The accuracy of the coupled approach is maintained irrespective of the DEM domain size relative to the failure region.
  • Computational efficiency is significantly improved compared to pure DEM for large-scale simulations.

Conclusions:

  • The strong FEM-DEM coupling is an effective and accurate method for simulating material failure in granular materials.
  • This hybrid approach offers a computationally efficient alternative to pure DEM for large-scale engineering problems.
  • The validated coupling method can be reliably applied to complex scenarios involving fracture and wear.