应用数学和力学2024，Vol.45Issue(3)：303-317,15.DOI:10.21656/1000-0887.440302
一维六方准晶非周期平面内中心开口裂纹的平面热弹性问题
The Plane Thermoelastic Problem of a Central Opening Crack in the 1D Hexagonal Quasicrystal Non-Periodic Plane
摘要
Abstract
Considering the thermal conductivity of the medium inside the crack,the plane thermoelastic prob-lem of the 1D hexagonal quasicrystal with a central open crack in an aperiodic plane,was studied.With the Fourier integral transformation technology,the closed form solutions of thermal stresses,thermal stress inten-sity factors and strain energy density factors were obtained.Numerical examples were used to analyze the effects of the thermal conductivity,the external load,and the phonon field-phason field coupling coefficient on the thermal stress intensity factor and the strain energy density factor at the crack tip.The results indicate that,the heat flux density gradually increases but the thermal stress intensity factor gradually decreases with the ther-mal conductivity.The phonon field-phason field coupling coefficient has a significant impact on the crack propa-gation.When the phonon field load is relatively small or the heat flux density is relatively high,the crack is not easy to propagate.The heat flux density exhibits a concentration effect at the crack tip.The work provides a theoretical basis for the application of thermodynamic properties of quasicrystals,and the optimization of de-sign and preparation of quasicrystal components.关键词
一维六方准晶/中心开口裂纹/Fourier积分变换/热应力强度因子/应变能密度因子Key words
1D hexagonal quasicrystal/central opening crack/Fourier integral transformation/thermal stress intensity factor/strain energy density factor分类
力学引用本文复制引用
赵雪芬,卢绍楠,马园园,张保文..一维六方准晶非周期平面内中心开口裂纹的平面热弹性问题[J].应用数学和力学,2024,45(3):303-317,15.基金项目
国家自然科学基金(12062021 （）
62062057 （）
12262033 （）
12062022) （）
