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Published on: June 8, 2015
Boundary Layer Effect on Behavior of Discrete Models.
1Brno University of Technology, Faculty of Civil Engineering, Veverˇí 331/95, Brno 60200, Czech Republic. elias.j@fce.vutbr.cz.
Boundary effects in random rigid body systems alter mechanical properties. Near boundaries, element orientation biases lead to varied stiffness and ductility compared to the bulk material.
Area of Science:
- Physics
- Materials Science
- Mechanical Engineering
Background:
- Discrete models of rigid bodies with random geometry are used to study macroscopic material properties.
- The mechanical behavior of such systems is influenced by the interplay of normal and tangential bonds.
- Directional bias in element orientation can emerge, particularly near boundaries.
Purpose of the Study:
- To investigate the influence of boundary effects on the mechanical properties of randomly generated rigid body systems.
- To analyze how the normal/tangential stiffness ratio affects macroscopic elastic modulus and Poisson's ratio.
- To understand the impact of biased element orientation near boundaries on system stiffness and ductility.
Main Methods:
- Simulating systems of rigid bodies with randomly generated geometry.
- Modeling interconnections using normal and tangential bonds with varying stiffness.
- Analyzing element orientation distributions, especially in boundary layers.
- Comparing simulation results with theoretical predictions.
Main Results:
- Macroscopic elastic modulus is determined by bond stiffness; Poisson's ratio depends on the normal/tangential stiffness ratio.
- Boundary layers exhibit biased element orientation, preferring alignment parallel to the boundary.
- This bias leads to increased stiffness in the boundary layer under certain strain conditions (normal/tangential stiffness ratio > 1).
- Boundary layers become weaker and less ductile due to a higher tendency towards tensile over shear straining.
Conclusions:
- Boundary orientation bias significantly alters local mechanical properties in discrete rigid body systems.
- The normal/tangential stiffness ratio is a critical parameter influencing both bulk and boundary behavior.
- Understanding these boundary effects is crucial for accurate modeling of heterogeneous materials.
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