太原理工大学学报2024，Vol.55Issue(4)：591-602,12.DOI:10.16355/j.tyut.1007-9432.20230785
基于Mori-Tanaka方法的功能梯度厚壁圆筒近似热弹性理论解
An Approximate Thermoelastic Theoretical Solution of Functional Graded Thick-Walled Tube Based on the Mori-Tanaka Method
摘要
Abstract
[Purposes]There is a problem of not considering the microstructure influence of component materials when analyzing the thermoelastic problem of functionally graded thick-walled tubes at present.Evaluating the equivalent parameters of functionally graded materials based on micromechanics methods such as the Mori-Tanaka method can effectively solve the problem mentioned above.However,existing literatures only provide numerical solutions based on the Mori-Tanaka method for functionally graded thick-walled tubes under combined thermal and mechanical loads.And in their works,only the spherical inclusion is considered.[Methods]To address the aforementioned issues,the thermoelastic problem of functionally graded thick-walled tubes is analyzed on the basis of the Mori-Tanaka method,and provides an approximate thermoelastic theoretical solution is provided.This theoretical solution not only has a high degree of compatibility with the numerical solution,but also considers the influence of inclusion shape on its physical quantities.Finally,the effects of inclusion shape on radial displacement and stres-ses under different boundary conditions are analyzed.[Finding]The results show that under both boundary conditions,the shape of the inclusion has a significant impact on the radial displace-ment.However,under the temperature boundary condition,the shape of inclusion has a signifi-cant impact on radial stress,but has a relatively small impact on axial and circumferential stres-ses.Under the stress boundary condition,the shape of inclusion has a greater impact on axial stress,but a smaller impact on circumferential and radial stresses.关键词
功能梯度材料/厚壁圆筒/Mori-Tanaka方法/热弹性理论解/夹杂形状Key words
functional graded materials/thick-walled tube/the Mori-Tanaka method/ther-moelastic theoretical solution/inclusion shape分类
数理科学引用本文复制引用
刘伟艺,李志强,辛立彪..基于Mori-Tanaka方法的功能梯度厚壁圆筒近似热弹性理论解[J].太原理工大学学报,2024,55(4):591-602,12.基金项目
国家自然科学基金资助项目(12272255,12302478) （12272255,12302478）
山西省基础研究计划项目(202203021211134) （202203021211134）
山西省科技创新人才团队(领军)专项资助(202204051002006) （领军）
山西省关键核心技术和共性技术研发攻关专项(2020XXX017) （2020XXX017）
