Scale Effects of Copper with Generalized Linear Elasticity in Simple Plane Shearing

Zhi Fu; Zhan Fang Liu

doi:10.4028/www.scientific.net/AMR.700.55

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Scale Effects of Copper with Generalized Linear Elasticity in Simple Plane Shearing
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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 700Scale Effects of Copper with Generalized Linear...

Scale Effects of Copper with Generalized Linear Elasticity in Simple Plane Shearing

Abstract:

The total stress consists of the symmetrical stress and asymmetrical stress, and the latter is connected to the couple stresses. A linear constitutive relation is established between the couple stresses and curvature tensor, three material parameters including the rotational modulus are involved in the generalized linear elasticity. A numerical analysis with the finite element method has been accomplished on the scale effect of copper in simple plane shearing. It is shown that a sharp drop of the stress symmetry occurs when the copper structure scale varies from some 1mm to 0.1mm in the example. When we analyze the physical and mechanical properties of cooper structure under micro size scales, the generalized linear elasticity should be used, and the asymmetrical feature of stress tensor must be considered.