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Necking of anisotropic micro-films with strain-gradient effects

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Abstract

Necking of stubby micro-films of aluminum is investigated numerically by considering tension of a specimen with an initial imperfection used to onset localisation. Plastic anisotropy is represented by two different yield criteria and strain-gradient effects are accounted for using the visco-plastic finite strain model. Furthermore, the model is extended to isotropic anisotropic hardening (evolving anisotropy). For isotropic hardening plastic anisotropy affects the predicted overall nominal stress level, while the peak stress remains at an overall logarithmic strain corresponding to the hardening exponent. This holds true for both local and nonlocal materials. Anisotropic hardening delays the point of maximum overall nominal stress.

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  1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, 2800, Kgs Lyngby, Denmark

    Brian Nyvang Legarth

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  1. Brian Nyvang Legarth
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Correspondence to Brian Nyvang Legarth.

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Legarth, B.N. Necking of anisotropic micro-films with strain-gradient effects. Acta Mech Sin 24, 557–567 (2008). https://doi.org/10.1007/s10409-008-0186-6

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