A micropolar peridynamic theory in linear elasticity. (1st May 2015)

• Record Type: Journal Article
• Authors: Roy Chowdhury, Shubhankar; Masiur Rahaman, Md.; Roy, Debasish; Sundaram, Narayan
• Is Part Of: International journal of solids and structures. Volume 59(2015)
• Page Start: 171
• Page End: 182
• Publication Date: 2015-05-01
• Subjects: Micropolar peridynamics -- Length scales -- Constitutive correspondence -- Timoshenko-type beams -- Plane stress problems; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.01.018
• Languages: English
• ISSNs: 0020-7683

Abstract

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.