Torsion of elastic anisotropic micropolar cylindrical bars

Taliercio, Alberto; Veber, D.

doi:10.1016/j.euromechsol.2015.08.006

Cited by 12 publications

(8 citation statements)

References 35 publications

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“…Early solutions of the torsion problem for elastic Cosserat bars were provided by Smith [1967]; Ieşan [1971]. In the present work, the solution given by Taliercio and Veber [2016]; Drugan and Lakes [2018] will be recalled and used as a starting point for tackling the elastoplastic case.…”

Section: Introductionmentioning

confidence: 99%

On the torsion of isotropic elastoplastic Cosserat circular cylinders

Ghiglione

Forest

2022

J. Micromech. Mol. Phys.

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Torsional loading of elastoplastic materials leads to size effects which are not captured by classical continuum mechanics and require the use of enriched models. In this work, an analytical solution for the torsion of isotropic perfectly plastic Cosserat cylindrical bars with circular cross-section is derived in the case of generalized von Mises plasticity accounting solely for the symmetric part of the deviatoric stress tensor. The influence of the characteristic length on the microrotation, stress and strain profiles as well as torsional size effects are then investigated. In particular, a size effect proportional to the inverse of the radius of the cylinder is found for the normalized torque. A similar analysis for an extended plasticity criterion accounting for both the couple-stress tensor and the skew-symmetric part of the stress tensor is performed by means of systematic finite element simulations. These numerical experiments predict size effects which are similar to those predicted by the analytical solution. Saturation effects and limit loads are found when the couple-stress tensor enters the yield function.

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Section: Introductionmentioning

confidence: 99%

On the torsion of isotropic elastoplastic Cosserat circular cylinders

Ghiglione

Forest

2022

J. Micromech. Mol. Phys.

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“…The method is used to study the deformation of a circular rod subjected to a uniform pressure on the lateral surface. The deformation of beams made of materials with special kinds of microstructure has been extensively studied (see, e.g., [10–14] and references therein).…”

Section: Introductionmentioning

confidence: 99%

On the deformation of micromorphic elastic beams

Ieşan

2021

Mathematics and Mechanics of Solids

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This paper is concerned with the deformation of beams in the framework of the linear theory of micromorphic elastic solids. First, the plane strain of anisotropic and homogeneous elastic cylinders is investigated. Existence and uniqueness results are presented. Then, Saint-Venant’s problem for micromorphic beams is formulated. A method is established to reduce the extension, bending and torsion to the study of some plane problems. Finally, the deformation of beams loaded on the lateral surface is investigated. As a special case, the solution of the flexure problem is obtained. The method is used to study the deformation of a micromorphic rod subjected to a uniform pressure on the lateral surface.

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“…Taliercio and Veber [38, 39] presented numerical solutions for linear micropolar elasticity in cylinders under pressure and torsion loads with orthotropic and anisotropic materials.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of micropolar functionally graded materials (FGM) hollow cylinder under thermal asymmetric load (r, θ)

et al. 2021

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This paper focuses on the analysis of two‐dimensional steady‐state thermal stresses based on micropolar theory in hollow and solid cylinders which are made of functionally graded materials (FGM) under asymmetric loading condition (r, θ) with the general thermal and mechanical boundary conditions along the inside and outside surfaces. The heat conduction and Navier equations were solved using the separation of variables and complex Fourier series for micropolar theory. Finally, the exact numerical results for both micropolar and classical solutions are illustrated and discussed using two examples: In Example 1, based on the micropolar theory, when thermal tensions are exerted on the inside surface of the cylinder, some of the strain energy is used for the object rotation; therefore, considering this condition, the calculated values resulted from the micropolar theory are smaller than those of the classic theory. In Example 2, by exerting normal tension on the inside surface of the cylinder, the rotation created is very small; therefore, the results of the micropolar and classic theories are similar. In addition to FGM materials, this solution is applicable to minerals and organic matter multiphase fiber and particulate composites, soil, rock, concrete, and various granular materials [59].

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Torsion of elastic anisotropic micropolar cylindrical bars

Cited by 12 publications

References 35 publications

On the torsion of isotropic elastoplastic Cosserat circular cylinders

On the torsion of isotropic elastoplastic Cosserat circular cylinders

On the deformation of micromorphic elastic beams

Analytical solution of micropolar functionally graded materials (FGM) hollow cylinder under thermal asymmetric load (r, θ)

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