Torsion of a Two‐Phased Composite Bar With Helical Distribution of Constituents

Abstract

Helical arrangements are very common both in nature and in artificial structures. In this paper, an analysis of a prismatic composite bar is presented. The cross‐sectional shape of the bar is described by a regular polygon. The composite is built of two homogeneous isotropic materials characterised by different Poisson's ratios one of which can be negative. Spatial distribution of materials in the composite is based on helical shape. Both materials are connected with the use of a transition zone of assumed width. The bar is subjected to torsional loading and its behavior is investigated by means of FEM method. Both material properties and the parameters of helical shape are investigated and the result of numerical analysis is presented.

Finite Element Analysis of the Influence of the Covering Auxetic Layer of Plate on the Contact Pressure

“…The elastic longitudinal tension of thin two‐layered composite plate built of materials having positive and negative Poisson's ratios (auxetics and nonauxetics) were analyzed by Goldstein et al Hou et al described three‐points bending and failure behavior of honeycomb topologies consisting of auxetic gradient cellular structures . Strek et al analyzed the torsional behavior of composites with auxetic phase . Composites characterized by negative Poissons's ratio (NPR) have also been presented in the most recent articles and books …”

“…[22] Strek et al analyzed the torsional behavior of composites with auxetic phase. [23,24] Composites characterized by negative Poissons's ratio (NPR) have also been presented in the most recent articles [25][26][27][28][29][30][31][32] and books. [33] Growing interest in auxetics materials is related to new areas of applications, due to their significant mechanical properties.…”

Tolerance Modelling of Vibrations and Stability for Periodic Slender Visco-Elastic Beams on a Foundation with Damping. Revisiting

“…This theory was used to consider equilibrium equations of microperiodic beams by Kolpakov [ 3 , 4 , 5 ]. Various other modelling methods were also proposed to investigate different composite media; e.g., Matysiak and Nagórko [ 6 ] showed a homogenization with microlocal parameters for periodic plates; a comprehensive study on composite beams vibrations was done by Hajianmaleki and Qatu [ 7 ]; Roque et al [ 8 ] formulated a certain model of bending for laminated composite beams, capturing the effects of the microstructure, using a modified couple stress theory and a meshless method; Batra and Xiao [ 9 ] proposed a layer-wise third order shear and normal deformable plate/shell theory incorporating all geometric nonlinearities to study finite deformations of curved laminated beams; Grygorowicz et al [ 10 ], Wittenbeck et al [ 11 ] and Grygorowicz and Magnucka-Blandzi [ 12 ] analyzed dynamic stability of sandwich beams having variable mechanical properties of the core; a torsion of composite beams with a phase made of auxetic material was investigated by Stręk et al [ 13 ] and Jopek and Stręk [ 14 ] using an analytical-numerical model based on analytical relations and finite element method; Pawlus [ 15 ] modelled the stability of three-layered annular plates made of fiber-reinforced composite facings and a foam core; some numerical investigations using a new approximation function in Carrera’s unified formulation for composite layered beams were shown by Arruda et al [ 16 ].…”

Finite Element Analysis of Tunable Composite Tubes Reinforced with Auxetic Structures

“…Bilski and Wojciechowski [ 27 ] investigated the possibility of changing the value of effective Poisson’s ratio in layered composites with an auxetic layer built of hexamers. The torsional behaviour of composite beams was studied by Strek [ 28 , 29 ].…”