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A complete rate-dependent constitutive model of thermo-elasto-diffusive coupling and its application in structural dynamic responses analysis of multi-layered laminated sandwich composites subjected to axisymmetric heat and chemical shock loadings
Li, Chenlin1,3; Guo, Huili3; He, Tianhu2; Tian, Xiaogeng1
刊名Applied Mathematical Modelling
2022-05-01
卷号105页码:284-306
关键词Constitutive models Dynamic response Laminated composites Laminating Laplace transforms Oxygen Relaxation time Structural dynamics Temperature Thermoelasticity Diffusive coupling Multi-layered Multi-layered laminated sandwich composite Rate dependent Relaxation time parameter Sandwich composites Strain-rates Thermo-elasto-diffusive coupling Thermodynamic-based constitutive modeling Time parameter
ISSN号0307-904X
DOI10.1016/j.apm.2021.12.047
英文摘要Metal solids or composites often work in high-temperature environments, which raise higher requirements for their mechanical strength design, even for oxygen diffusion. This motivates great interests on the constitutive modeling of thermo-elasto-diffusive coupling behavior from scholars and engineers, of which the most representative one is called rate-dependent thermoelastic diffusion theory associated with temperature and molar concentration rates. However, in ultrafast heating condition, the increasingly prominent relaxation effects in elastic deformation field are still not considered in this theoretical formulation. To deal with the deficiency, present study aims to develop a complete rate-dependent constitutive model of thermoelastic diffusion by fully considering temperature rate, strain rate, and chemical potential rate. New constitutive relations and governing equations are derived within the extended thermodynamics framework. To illustrate its application values, the newly developed model is applied to investigate transient thermo-elasto-diffusive dynamic responses of multi-layered laminated sandwich composites considering perfect interfacial conditions and material constants ratios by a semi-analytical technique via Laplace transformation. The achieved results reveal that properly selecting relaxation time parameters and material constants ratios of such structure will eliminate discontinuity of deformation, adjust thermal/diffusive waves propagation, realize displacement control, regulate heat/diffusion isolation, and improve harmful stress isolation induced by heat or oxygen diffusion. © 2022
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
出版者Elsevier Inc.
WOS记录号WOS:000799281300002
内容类型期刊论文
源URL[http://ir.lut.edu.cn/handle/2XXMBERH/157873]  
专题研究生院
作者单位1.State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an; Shaanxi; 710049, China;
2.School of Science, Lanzhou University of Technology, Lanzhou; Gansu; 730050, China
3.School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou; Gansu; 730050, China;
推荐引用方式
GB/T 7714
Li, Chenlin,Guo, Huili,He, Tianhu,et al. A complete rate-dependent constitutive model of thermo-elasto-diffusive coupling and its application in structural dynamic responses analysis of multi-layered laminated sandwich composites subjected to axisymmetric heat and chemical shock loadings[J]. Applied Mathematical Modelling,2022,105:284-306.
APA Li, Chenlin,Guo, Huili,He, Tianhu,&Tian, Xiaogeng.(2022).A complete rate-dependent constitutive model of thermo-elasto-diffusive coupling and its application in structural dynamic responses analysis of multi-layered laminated sandwich composites subjected to axisymmetric heat and chemical shock loadings.Applied Mathematical Modelling,105,284-306.
MLA Li, Chenlin,et al."A complete rate-dependent constitutive model of thermo-elasto-diffusive coupling and its application in structural dynamic responses analysis of multi-layered laminated sandwich composites subjected to axisymmetric heat and chemical shock loadings".Applied Mathematical Modelling 105(2022):284-306.
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