Single Crystal Magnesium Lithium Alloy Elastic Constants

Abstract

Knowledge of elastic characteristics of the structural materials such as elastic modules, allows to develop constructions that resulting deformation are foreseeable and not excessive in terms of plastic deformation, accelerated fatigue or even fracture. In this paper we investigate the elastic properties of the binary alloy Mg-5% Li (mass.). For measuring of single crystal elastic constants of alloy is needed to have the crystal of relatively large size. For the alloy this is connected with the technical difficulties. In this paper we propose to determine the elastic constants of single crystals of alloy magnesium-lithium using the experimental anisotropy of Young's modulus and integral characteristics of texture (ICT), which can be found from the pole figure {0002}. We have calculated the anisotropy of Young's modulus alloy sheet Mg5% Li using found magnesium-lithium single crystal constants. Deviation of calculated values from experimental did not exceed 5% that is not bad result. KEYWORDS Elastic Constants, Single Crystals, Magnesium-Lithium Alloy, Integral Characteristics of Texture, Elastic Anisotropy, Polycrystalline Sheet List of symbols ij ε , i ε are components of deformations second-rank tensor; ij σ , i σ are components of stresses second-rank tensor; ijkl S , ij S are components of the fourth rank of elastic compliances tensor ijkl C , ij C are components of the fourth rank of elastic stiffness's (modules) tensor E is the Young's modulus G is the shear modulus i I are integral characteristic of texture () γ Σ 1 and () γ Σ 2 are functions of texture sheet