TY - CHAP A1 - Fedelich, Bernard A2 - Cailletaud, G. A2 - Cormier, J. A2 - Eggeler, G. A2 - Maurel, V. A2 - Nazé, L. T1 - Crystal orientation and elastic properties T2 - Nickel base single Crystals across length scales N2 - The elastic constants are the most basic mechanical properties of a material and are needed for any structural analysis of a component. For example, they have a major influence on the eigenfrequencies of vibrating parts. Single crystals of Ni-base superalloys are strongly anisotropic, which means that the observed properties are orientation dependent. Tensor algebra is then required to mathematically formulate the elastic properties and their relations to the crystal orientation. Hence, this chapter first summarizes some basic definitions and calculation rules for Rotation matrices, including the definition of the Euler angles, which are most commonly used to define the relative orientations of the crystal and the component. Parts of this chapter closely follow the lines of the excellent exposition of the topic by Olschewski. PB - Elsevier Inc. KW - Nickel-base superalloys KW - Elasticity PY - 2022 UR - https://opus4.kobv.de/opus4-bam/frontdoor/index/index/docId/53435 AN - OPUS4-53435 SN - 978-0-12-819357-0 SP - 41 EP - 67 AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany