六方结构金属板材弹性的计算法

Calculation of elastic properties of metals and alloys with a hexagonal structure

具有六方结构的金属板材呈现较强的物理和力学性能各向异性 ,尤其是钛及其合金呈现的弹性各向异性 ,其轧向与横向的弹性模量差异较大。根据Bunge等人的三维取向分布函数 (ODF) ,由单晶弹性系数和少量有限的织构系数如直至四阶的C系数 ,简便地计算了低对称六方结构的板材的弹性。钛及其合金板材弹性的理论计算结果与实测数值相吻合 ,钛合金板材的弹性各向异性是由织构产生的 ,具有 { 1 2 1 5}〈1 0 1 0〉织构的钛板材的横向弹性模量为 1 1 6GPa,大于轧向的弹性模量 (1 0 8GPa)

The presence of texture was known to cause anisotropy of elastic properties of polycrystalline materials with a hexagonal structure. By using texture coefficients and elastic constant of single crystal, the elastic property of polycrystalline plate can be calculated. The present calculation method has been applied to predicting elastic modulus for a rolled titanium sheet and the results are consistent well with experimental ones.