Work

Stress-free temperature fields in thermoelastic quasicrystals

Year: 2025

Type: article

Abstract: 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).

Source: International Journal of Solids and Structures

DOI: 10.1016/j.ijsolstr.2025.113390

Authors: Viktoriya Pasternak, Iaroslav M. Pasternak, Heorhiy Sulym, Ihor Hotsyk, Roman Pasternak

Institutions: Lutsk National Technical University, National Academy of Sciences of Ukraine, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Lesya Ukrainka Volyn National University

Language: English

Topic: Quasicrystal Structures and Properties

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

OpenAlex ID: W4409593852

FWCI: 0.212

Cites: 13

Cited by: 1

Related to: 10