The Plane Strain Young's Modulus in Cubic Materials
The Plane Strain Young's Modulus in Cubic Materials
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DOI：
10.1007/s10659-017-9621-x
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发表时间：
2017-08-01
影响因子：
2
通讯作者：
Knowles, Kevin M.
中科院分区：
文献类型：
--
作者：
Knowles, Kevin M.
本文分析了立方材料的平面应变杨氏模数与单晶单轴应力方向和应变约束为零的单晶垂直方向的关系。当沿单轴方向施加应力时，在垂直于单轴应力轴的平面内的轨迹为圆。对于具有各向异性比率的材料，当沿两个垂直方向之一施加应力并且将应变设置为零时，会出现全局最小值。当应力沿两组不同的方向施加，且零应变方向为垂直方向或方向时，发现了相同的全局最大值。对于具有的材料，当沿两个垂直方向中的一个方向施加应力并将应变设置为零时，会出现全局最大值，当沿两个不同的方向族施加应力且零应变方向是沿垂直方向或方向时，会发现相同的全局最小值。
The orientation dependence of the plane strain Young's modulus, , of cubic materials has been analysed as a function of the direction along which a uniaxial stress is applied to a single crystal and the perpendicular direction in the single crystal along which the strain is constrained to be zero. The locus of in the plane perpendicular to the axis of uniaxial stress is shown to be a circle when this stress is applied along . For materials with anisotropy ratios , global minima in occur when the stress is applied along and when the strain along one of the two perpendicular directions is set to zero. Identical global maxima in are found when the stress is applied along two different families of directions and the direction of zero strain is along either a perpendicular or direction. For materials with , the global maxima in occur when the stress is applied along and when the strain along one of the two perpendicular directions is set to zero, and identical global minima are found when the stress is applied along two different families of directions and the direction of zero strain is along either a perpendicular or direction.