Calculation of the [111]-Texture Dependence of the Elastic Biaxial Modulus

Abstract

ABSTRACTThe elastic biaxial modulus of a polycrystalline material as a function of [111] fiber texture was determined by imposing an equibiaxial strain and calculating the resulting stress assuming a plane-stress condition. The situation of a such a texture in a film under plane-stress is commonly seen in deposited thin films of face centered cubic metals. The calculation was performed by determining the average biaxial modulus of a single crystal as a function of tilt angle off the [111] plcine normal and then using these values in a Gaussian distribution of crystal tilts off the [111] to simulate varying degrees of texture. Results are presented for several fee materials with different elastic anisotropy factors.