A Micropolar Peridynamic Theory in Linear Elasticity

Autor: Chowdhury, S. Roy, Rahaman, Md Masiur, Roy, Debasish, Sundaram, Narayan
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.ijsolstr.2015.01.018
Popis: 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.
Databáze: arXiv