Stress-free temperature fields in thermoelastic quasicrystals

This paper studies the thermoelasticity of quasicrystal solids and identifies temperature distributions that do not induce thermal stresses. Unlike anisotropic crystalline solids, where a linear temperature distribution results in a stress-free state, such a distribution can generate thermal stresses in quasicrystal media. Thermal stresses arise due to incompatible thermal strain . Compatibility conditions for phason strain are derived, and stress-free linear temperature distributions are presented for different types of quasicrystals. Special attention is given to plane strain conditions , demonstrating the two-step mechanism by which thermal stresses develop in quasicrystals under plane strain. Using the Stroh formalism and a least-squares approach, the problem is solved for a finite quasicrystal solid, revealing a significantly nonlinear distribution of thermal stresses in response to certain linear temperature distributions (uniform heat flux). • Conditions for stress-free temperature fields in quasicrystals are established. • Linear temperature fields can induce thermal stresses in quasicrystals. • Plane strain effects in thermoelastic quasicrystals are analyzed. • Stress fields under linear temperature distribution are analyzed in detail.