Biaxial Loading of Continuously Graded Thermoviscoplastic Materials

Chatzigeorgiou, Georges; Charalambakis, Nicolas; Kalpakides, V.K.

doi:10.1007/s00466-006-0030-4

Cited by 13 publications

(12 citation statements)

References 59 publications

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“…2. We choose the sigmoid function (Seto and Nishimura, 2004), whose form can be found in Chatzigeorgiou et al (2007), in order to approximate the discontinuity between the layers with continuous function. The radii of inner and outer surfaces are a ¼ 0:1 m and b ¼ 0:2 m, respectively.…”

Section: Numerical Example: Periodic Hollow Cylinder Under Torsionmentioning

confidence: 99%

Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties

Chatzigeorgiou

Charalambakis

Murat

2008

International Journal of Solids and Structures

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a b s t r a c tIn this paper, we present the homogenization of an anisotropic hollow layered tube with discontinuous elastic coefficients. We focus on some aspects of technological importance, such as the effective coefficients of anisotropic materials, the behavior of the homogenized displacements and stresses, the discontinuities of in-plane shear, hoop and longitudinal stresses, the homogenization-induced anisotropy in the isotropic case. We conclude that the problem of cylindrically anisotropic tubes under extension, torsion, shearing and pressuring is stable by homogenization and we define the effective tensor of the material elastic coefficients. Some numerical examples confirm the theoretical results.

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Section: Numerical Example: Periodic Hollow Cylinder Under Torsionmentioning

confidence: 99%

Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties

Chatzigeorgiou

Charalambakis

Murat

2008

International Journal of Solids and Structures

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“…Simple power-law creep models may be incorporated [30], as well as thermoviscoplastic theories, cf. Charalambakis and Murat [37], Chatzigeorgiou et al [38].…”

Section: Discussionmentioning

confidence: 98%

Transient Finite-Volume Analysis of a Graded Cylindrical Shell Under Thermal Shock Loading

Cavalcante

Marques

Pindera

2011

Mechanics of Advanced Materials and Structures

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A major failure mechanism in thermal barrier coatings involves delamination of the ceramic top coat from the substrate, which is accompanied and/or aided by transverse cracks that initiate at the outer surface. Techniques to mitigate these failure modes include grading the transition region between the ceramic top coat and the metallic bond coat by gradually varying the content of the two phases. This concept is explored herein for a graded cylinder subjected to transient thermal cyclic loading, that simulates a thermal shock durability test, using the parametric finite-volume theory for functionally graded materials. Previous investigation into the transient response of a three-layer cylinder under the considered thermal shock loading revealed two potential failure modes, one of which was a direct result of transient effects. Herein, examination of average phase-level stress fields indicates that grading influences the initiation of delamination and potential radial cracking through redistribution of the radial and hoop stress components in the thermal coating's graded region upon rapid heating. The large hoop stress reversal responsible for radial crack initiation at the outer surface, however, is not reduced upon rapid cooling, pointing to the importance of accurately modeling transient effects in thermal shock testing as well as crack-growth management through grading.

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“…In this work we approximate the discontinuities between two layers in the radial direction with sharp but continuous and smooth functions. For this reason we choose the sigmoid function (Seto and Nishimura, 2004;Chatzigeorgiou et al, 2007) mðrÞ ¼ 1…”

Section: Numerical Simulationmentioning

confidence: 99%

Homogenization of a pressurized tube made of elastoplastic materials with discontinuous properties

Chatzigeorgiou

Charalambakis

Murat

2009

International Journal of Solids and Structures

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a b s t r a c tIn this paper we present the homogenization of a periodic multilayered pressurized tube made of very dissimilar elastoplastic materials. We focus on some aspects of technological importance, such as the effective properties, the behavior of the homogenized displacements and stresses, the discontinuities of hoop and longitudinal stresses, the homogenization-induced anisotropy. We conclude that the problem needs to be reformulated in order to be stable by homogenization and we define the effective elastic and incremental stress corrector matrices for the incremental stress-total strain matrix law. Finally, we present the numerical simulation for both the non-homogeneous and the homogenized material and two numerical examples confirming the theoretical results.

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Biaxial Loading of Continuously Graded Thermoviscoplastic Materials

Cited by 13 publications

References 59 publications

Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties

Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties

Transient Finite-Volume Analysis of a Graded Cylindrical Shell Under Thermal Shock Loading

Homogenization of a pressurized tube made of elastoplastic materials with discontinuous properties

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