On Moisture Diffusion Modeling Using Thermal-Moisture Analogy

2007 ◽  
Vol 129 (4) ◽  
pp. 421-426 ◽  
Author(s):  
Samson Yoon ◽  
Bongtae Han ◽  
Zhaoyang Wang
Keyword(s):  
Thermal Loading ◽  
Moisture Diffusion ◽  
Loading Conditions ◽  
Diffusion Modeling ◽  
Governing Equations ◽  
Practical Applications ◽  
Diffusion Analysis ◽  
Material Systems ◽  
Single Material

Thermal-moisture analogy schemes for a moisture diffusion analysis are reviewed. Two schemes for practical applications are described using the governing equations of heat and mass diffusions: (1) direct analogy and (2) normalized analogy. The schemes are implemented to define valid domains of application. The results corroborate that the direct analogy is valid only for single-material systems, but the normalized analogy can be extended to multimaterial systems if thermal loading conditions are isothermal, spatially as well as temporally.

Asymmetric Thermal Buckling of Imperfect FGM Circular Plates with Rotationally Restrained Edge

2020 ◽  
Vol 20 (12) ◽  
pp. 2050127
Author(s):  
S. V. Levyakov
Keyword(s):  
Critical Temperature ◽  
Temperature Rise ◽  
Material Properties ◽  
Thermal Loading ◽  
Plate Theory ◽  
Nonlinear Eigenvalue Problem ◽  
Mode Shapes ◽  
Effect Of Temperature ◽  
Circular Plates ◽  
Governing Equations

The paper addresses the problem of asymmetric buckling of geometrically imperfect circular plates undergoing large axisymmetric deflections under thermal loading. The plate edge is assumed to be immovable in the radial direction and elastically restrained against bending rotation. The plate material is graded in the thickness direction and dependence of the material properties on temperature is taken into account. The governing equations are derived using the von Karman nonlinear plate theory and the concept of physically neutral surface. It is shown that, when subjected to increasing temperature, the plate initially bends into a figure of revolution and then buckles into asymmetric mode with local circumferential waves. To determine the critical temperature rise, a nonlinear eigenvalue problem is formulated by linearizing the governing equations about the axisymmetric state of equilibrium and solved using power-series expansions. The effect of temperature-dependent material properties, rotational spring stiffness and initial geometric imperfection on the critical temperature rise and buckling mode shapes is studied.

Fracture mechanics assessment of divertor vertical target under thermal loading conditions

2019 ◽  
Vol 146 ◽  
pp. 2209-2213 ◽  
Author(s):  
Jae Min Sim ◽  
Sang Yun Je ◽  
Ji-Hoon Kang ◽  
Yoon-Suk Chang
Keyword(s):  
Fracture Mechanics ◽  
Thermal Loading ◽  
Loading Conditions

Post-Buckling Analysis of FGM Beam Subjected to Non-Conservative Forces and In-Plane Thermal Loading

2012 ◽  
Vol 152-154 ◽  
pp. 474-479
Author(s):  
Feng Qun Zhao ◽  
Zhong Min Wang ◽  
Rui Ping Zhang
Keyword(s):  
Shooting Method ◽  
Thermal Loading ◽  
Governing Equations ◽  
Temperature Dependent ◽  
Tangential Load ◽  
Simply Supported ◽  
Runge Kutta Method ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Fgm Beam

Based on the Kirchhoff large deformation theory, the post-buckling behavior of right movable simply supported FGM beam subjected to non-conservative forces and in-plane thermal loading was analyzed in this paper. The temperature-dependent and spatially dependent material properties of the FGM beam were assumed to vary through the thickness. The nonlinear governing equations of FGM beam subjected to a uniform distributed tangential load along the central axis and in-plane thermal loading were derived. Then, a shooting method and Runge-kutta method are employed to numerically solve the resulting equations. The post-buckling equilibrium paths of the FGM beam with different parameters were plotted, and the effects of non-conservative force, temperature, gradient index of FGM on the post-buckling behavior of right movable simply supported FGM beams were analyzed.

scholarly journals Nonlinear vibration of functionally graded material sandwich doubly curved shallow shells reinforced by FGM stiffeners. Part 1: Governing equations

2017 ◽  
Vol 39 (3) ◽  
pp. 245-257
Author(s):  
Dang Thuy Dong ◽  
Dao Van Dung
Keyword(s):  
Nonlinear Vibration ◽  
Thermal Loading ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Nonlinear Frequency ◽  
Governing Equations ◽  
Shallow Shells ◽  
Geometrical Imperfection ◽  
Graded Material ◽  
Doubly Curved

Nonlinear vibration of FGM sandwich doubly curved shallow shells reinforced by FGM stiffeners subjected to mechanical and thermal loading are investigated based on the first-order shear deformation theory (FSDT) with von Karman type nonlinearity, taking into account initial geometrical imperfection and smeared stiffener technique. Four material models of the FGM sandwich shells are presented. Explicit expressions for natural frequencies, nonlinear frequency-amplitude relation, and time-deflection curves of the FGM sandwich shallow shells are derived using Galerkin method.

Sign in / Sign up

Export Citation Format

Share Document