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Horgan, Cornelius O.; Chan, A.M.

doi:10.1023/a:1007544011803

Cited by 72 publications

(11 citation statements)

References 7 publications

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“…They have also considered a bar with functionally graded properties. The torsion of FGM (functionally graded materials) bars with circular cross‐section were also examined by Horgan et al and Uscilowska . Arghavan assumed that shear modulus changes continuously according to a power law and they investigated the torsion of functionally graded hollow tubes of arbitrary shape.…”

Section: Introductionmentioning

confidence: 99%

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

Jopek

Stręk

2017

Physica Status Solidi (b)

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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.

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Section: Introductionmentioning

confidence: 99%

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

Jopek

Stręk

2017

Physica Status Solidi (b)

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“…He used a semi‐inverse method to find the stress function and torsional stiffness of circular and elliptical shafts. Also, Rooney and Ferrari and Horgan and Chan analyzed torsion of functionally graded elastic bars with circular cross‐sections. Both these publications concern the case when shear modulus of rigidity is a function of radius.…”

Section: Introductionmentioning

confidence: 99%

Torsion of elliptical composite beams with auxetic phase

Stręk

Jopek

Fraska

2016

Physica Status Solidi (b)

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The torsion of a prismatic beam has been a classic problem of structural mechanics since the famous works of Saint-Venant. In this paper, an analysis is extended on a composite beam with elliptical cross-section. We consider a beam in which the elliptical cross-section is split into sectors in which two materials, one of which is auxetic, are distributed alternately. The influence of auxetic phase on the total elastic strain energy is analyzed as well as geometrical parameters representing both the shape of the cross-section, and the arrangements of sectors. An unexpected behavior of a beam with strong auxetic phase is presented as, in the case of selected parameters, the beam with elliptical crosssection is more rigid than the beam with a circular one.

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“…Especially twisting of prismatic bars made with homogeneous and isotropic materials have been undertaken by many authors [Kołodziej and Fraska 2005;Nowacki 1970;Naghdi 1994;Timoshenko and Goodier 1970]. In the last time, the case of inhomogeneous and/or anisotropic material is more often discussed in literature [Chen 2011;Horgan and Chan 1998/99;Xu et al 2010]. It is related to the research on functionally graded materials (FGMs), designed for special engineering applications including aircraft, aerospace, automobile industry and medicine.…”

Section: Introductionmentioning

confidence: 99%

Implementation of HAM and meshless method for torsion of functionally graded orthotropic bars

Uscilowska

Fraska

2016

J. Mech. Mater. Struct.

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The aim of this study is implementation of the Homotopy Analysis Method (HAM) and the Method of Fundamental Solution (MFS) for solving a torsion problem of functionally graded orthotropic bars. The boundary value problem is formulated for the Prandtl's stress function, described by partial differential equation of second order with variable coefficients and appropriate boundary conditions. In the solving process the HAM is used to convert nonlinear equation into a linear one with known fundamental solutions. The Method of Fundamental Solutions supported by Radial Basis Functions and Monomials is suggested for calculate this linear boundary value problem. The numerical experiment has been performed to check the accuracy and the convergence of the presented method.

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Cited by 72 publications

References 7 publications

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

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

Torsion of elliptical composite beams with auxetic phase

Implementation of HAM and meshless method for torsion of functionally graded orthotropic bars

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