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29 March 2024
 
  » arxiv » 1410.8655

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A Micropolar Peridynamic Theory in Linear Elasticity
S. Roy Chowdhury ; Md Masiur Rahaman ; Debasish Roy ; Narayan Sundaram ;
Date 31 Oct 2014
AbstractA state-based micropolar peridynamic theory for linear elastic solids is proposed. The main motivation is to introduce additional micro-rotational degrees of freedom to each material point and thus naturally bring in the physically relevant material length scale parameters into peridynamics. Non-ordinary type modeling via constitutive correspondence is adopted here to define the micropolar peridynamic material. Along with a general three dimensional model, homogenized one dimensional Timoshenko type beam models for both the proposed micropolar and the standard non-polar peridynamic variants are derived. The efficacy of the proposed models in analyzing continua with length scale effects is established via numerical simulations of a few beam and plane-stress problems.
Source arXiv, 1410.8655
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