A functionally graded Green-Naghdi (type-III) thermoelastic medium with varying properties along two directions

IF 1.9 4区 工程技术 Q3 MECHANICS
Praveen Ailawalia,  Ajay, Marin Marin, Andreas Öchsner
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引用次数: 0

Abstract

This study examines the two-dimensional deformation of a functionally graded Green Naghdi (type-III) thermoelastic half-space under hydrostatic initial stress. The material properties of the medium are assumed to vary along two directions. Such type of problem has not been attempted earlier. Using the normal mode technique, analytical expressions for displacement components, temperature distribution, and force stress are derived. The numerical evaluation of these field variables reveals the impact of initial stress and material inhomogeneity on thermoelastic behavior. Graphical representations illustrate the variations in displacement and stress fields, emphasizing the intricate interplay between mechanical and thermal responses. These findings provide valuable insights for stress-strain analysis and the design of advanced engineering materials in thermoelastic applications.

一种沿两个方向具有不同性质的功能梯度Green-Naghdi (iii型)热弹性介质
本研究考察了静水初始应力作用下功能梯度Green Naghdi (iii型)热弹性半空间的二维变形。假定介质的材料性质沿两个方向变化。这种类型的问题以前没有尝试过。利用法向模态技术,导出了位移分量、温度分布和应力的解析表达式。这些场变量的数值计算揭示了初始应力和材料不均匀性对热弹性行为的影响。图形表示说明了位移和应力场的变化,强调了机械和热响应之间复杂的相互作用。这些发现为热弹性应用中的应力应变分析和先进工程材料的设计提供了有价值的见解。
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来源期刊
CiteScore
5.30
自引率
15.40%
发文量
92
审稿时长
>12 weeks
期刊介绍: This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.
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