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Article overview
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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 | Abstract: | A 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 | Services: | Forum | Review | PDF | Favorites |
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