Orientation dependence of elastic properties in orthorhombic Ca₃Mn₂O₇

Elastic properties are important in fundamental understanding of multiferroic materials. However, up to now, there is no work about anisotropy of elastic properties in orthorhombic Ca₃Mn₂O₇. In this study, using coordinate transformation method, we investigated basic elastic parameters (elastic constants c'_ij) and engineering elastic parameters (Young's modulus E', Poisson's ratio v', and the rigidity modulus G') of orthorhombic Ca₃Mn₂O₇ along arbitrary orientations. The detailed anisotropic characteristics of these parameters were presented. The results reveal the orientation related elastic properties in mm2 point group orthorhombic Ca₃Mn₂O₇.