Abstract. All minerals behave elastically; elasticity is a rheological property that controls their
ability to support stress, strain, and pressure; controls the nature of acoustic wave
propagation; and influences subsequent plastic (i.e. permanent
non-reversible) deformation. All minerals are intrinsically anisotropic in
their elastic properties – that is, they have directional variations that
are related to the configuration of the crystal lattice. This means that the
commonly used mechanical elastic properties that relate elastic stress to
elastic strain, including Young's modulus (E), Poisson's ratio (ν),
shear modulus (G) and linear compressibility (β), are dependent on
crystallographic direction. In this paper, we explore the ranges of
anisotropy of E, ν, G and β in 86 rock-forming minerals, using
previously published data, and show that the range is much wider than
commonly assumed. We also explore how these variations (the directionality
and the magnitude) are important for fundamental processes in the solid
earth, including deformation (mechanical) twinning, coherent phase
transformations and brittle failure. We present a new open-source software
package (AnisoVis, written in MATLAB), which we use to calculate and
visualise directional variations in elastic properties of rock-forming
minerals. Following previous work in the fields of chemistry and materials science,
we demonstrate that by visualising the variations in elasticity, we discover
previously unreported properties of rock-forming minerals. For example, we
show previously unreported directions of negative Poisson's ratio and
negative linear compressibility, and we show that the existence of these
features is more widespread (i.e. present in many more minerals) than
previously thought. We illustrate the consequences of intrinsic elastic
anisotropy for the elastic normal and shear strains within α-quartz
single crystal under different applied stress fields; the role of elastic
anisotropy on Dauphiné twinning and the α–β phase
transformations in quartz; and stress distributions around voids of
different shapes in talc, lizardite, albite, and sanidine. In addition to
our specific examples, elastic anisotropy in rock-forming minerals, to the
degree that we describe, has significant consequences for seismic (acoustic)
anisotropy, for the focal mechanisms of earthquakes in anisotropic source
regions (e.g. subducting slabs), for a range of brittle and ductile
deformation mechanisms in minerals, and for geobarometry using mineral
inclusions.