2006
DOI: 10.1007/s00466-006-0030-4
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Biaxial Loading of Continuously Graded Thermoviscoplastic Materials

Abstract: In this paper we study the problem of biaxial loading of a sheet made of a continuously graded thermoviscoplastic material. The material phases are supposed to exhibit thermal softening, strain-rate sensitivity and strain hardening, continuously varying along all directions. First we formulate the plane stress problem of a non-homogeneous material and study the behavior of temperature, strain and strain-rate related to inhomogeneities of thermomechanical parameters and geometrical defects. Next we present the … Show more

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Cited by 13 publications
(12 citation statements)
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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%
“…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%
“…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%
“…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%