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Anisotropy

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Micromechanics Modelling of Ductile Fracture

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 195))

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Abstract

Cold worked and extruded materials always exhibit a measure of anisotropy, or “texture” where the mechanical properties exhibit directional properties. The rolling process used to create sheet metals orients the material grains and precipitates/inclusions in the rolling direction and thus induces anisotropy. Typically, bulk materials that exhibit texture effects are treated as orthotropic while sheet metals are commonly assumed to possess planar isotropy and normal anisotropy. To characterize the anisotropy of sheet materials, uniaxial tensile tests are performed with the samples fabricated from the material in different directions relative to the rolling direction. The R-value quantifies the measure of anisotropy and is defined as the ratio of the transverse strain to the through-thickness strain as shown in Fig. 3.1 and Eq. (3.1)

$$ R=\frac{{{\varepsilon_w}}}{{{\varepsilon_t}}} $$

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of New Brunswick, Fredericton, New Brunswick, Canada

    Zengtao Chen

  2. Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario, Canada

    Cliff Butcher

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  1. Zengtao Chen
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  2. Cliff Butcher
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Chen, Z., Butcher, C. (2013). Anisotropy. In: Micromechanics Modelling of Ductile Fracture. Solid Mechanics and Its Applications, vol 195. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6098-1_3

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  • DOI: https://doi.org/10.1007/978-94-007-6098-1_3

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6097-4

  • Online ISBN: 978-94-007-6098-1

  • eBook Packages: EngineeringEngineering (R0)

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