scholarly journals Analytical model for radiative transfer including the effects of a rough material interface

2016 ◽  
Vol 55 (24) ◽  
pp. 6606
Author(s):  
Thomas E. Giddings ◽  
Anthony R. Kellems
Keyword(s):  
Radiative Transfer ◽  
Analytical Model ◽  
Material Interface

Analytical Model of Thermal Stress for Encapsulation and Service Process of Solar Cell Module

2010 ◽  
Vol 97-101 ◽  
pp. 2699-2702 ◽  
Author(s):  
Guo Hui Sun ◽  
Shi Lin Yan ◽  
Gang Chen
Keyword(s):  
Thermal Stress ◽  
Solar Cell ◽  
Residual Stresses ◽  
Analytical Model ◽  
Service Process ◽  
Material Interface ◽  
Encapsulation Process ◽  
Structure Strength ◽  
Cell Module ◽  
Solar Cell Module

A significant challenge in encapsulation process of solar cell module is to reduce breakage rates. In encapsulation and service process of the solar cell module, since the mismatch of heat expansion coefficients of various materials, and temperature difference of material interface in service of module, the residual stresses is caused in each material layer of solar cell module. Analytical model was established to analyze the distribution of temperature and residual stress in encapsulation and service process of the solar cell module. The validity of the analytical model is verified by comparing with finite element method (FEM) results. The residual stresses are obtained during encapsulation of solar cell module, and the thermal stress is reverse in encapsulation and service process of the solar cell module. The effect of thermal stress on structure strength of solar cell module is discussed in detail.

A generalized analytical model for radiative transfer in vacuum thermal insulation of space vehicles

2017 ◽  
Vol 197 ◽  
pp. 166-172 ◽  
Author(s):  
Irina V. Krainova ◽  
Leonid A. Dombrovsky ◽  
Aleksey V. Nenarokomov ◽  
Sergey A. Budnik ◽  
Dmitry M. Titov ◽  
...  
Keyword(s):  
Radiative Transfer ◽  
Analytical Model ◽  
Thermal Insulation ◽  
Space Vehicles

scholarly journals An Analytical Model for the Effect of Elastic Modulus Mismatch on Laminate Threshold Strength

2003 ◽  
Vol 791 ◽  
Author(s):  
Alok Paranjpye ◽  
Glenn E. Beltz ◽  
Noel C. MacDonald
Keyword(s):  
Stress Intensity Factor ◽  
Finite Element ◽  
Elastic Modulus ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Analytical Model ◽  
Homogeneous Model ◽  
Crack Tip ◽  
Finite Element Simulations ◽  
Material Interface

ABSTRACTA scheme for calculating the stress intensity factor at the crack tip in a two-dimensional bimaterial laminate composite has been developed to model the damage tolerance obtained in brittle ceramics by using this geometry. One limitation of the model is its assumption of homogenous elastic properties throughout the composite, limiting the accuracy of predictions it can make about real material systems. Finite element simulations of the same architecture that allow for elastic modulus mismatch give results that are moderately different from those obtained from the homogeneous model. We present an analytical expression for the stress intensity factor around a crack tip in a laminated composite that can take into account the elastic modulus mismatch. To make the problem tractable, the model is based on the assumption that the system behaves as a homogeneous anisotropic material when the stress field at the crack tip arises out of far field tractions applied away from the crack tip. The model improves upon the homogeneous model, giving results that are closer to those from the finite element simulations. We, however, conclude that more work is required to predict the stresses at the tip as the crack approaches a material interface before a complete analytical model can be obtained.

Richtmyer–Meshkov instability: theory of linear and nonlinear evolution

2010 ◽  
Vol 368 (1916) ◽  
pp. 1769-1807 ◽  
Author(s):  
K. Nishihara ◽  
J. G. Wouchuk ◽  
C. Matsuoka ◽  
R. Ishizaki ◽  
V. V. Zhakhovsky
Keyword(s):  
Analytical Model ◽  
Contact Surface ◽  
Incident Shock ◽  
Linear Growth Rate ◽  
Normal Velocity ◽  
Material Interface ◽  
Two Fluids ◽  
Nonlinear Phase ◽  
Velocity Circulation ◽  
Linear And Nonlinear

A theoretical framework to study linear and nonlinear Richtmyer–Meshkov instability (RMI) is presented. This instability typically develops when an incident shock crosses a corrugated material interface separating two fluids with different thermodynamic properties. Because the contact surface is rippled, the transmitted and reflected wavefronts are also corrugated, and some circulation is generated at the material boundary. The velocity circulation is progressively modified by the sound wave field radiated by the wavefronts, and ripple growth at the contact surface reaches a constant asymptotic normal velocity when the shocks/rarefactions are distant enough. The instability growth is driven by two effects: an initial deposition of velocity circulation at the material interface by the corrugated shock fronts and its subsequent variation in time due to the sonic field of pressure perturbations radiated by the deformed shocks. First, an exact analytical model to determine the asymptotic linear growth rate is presented and its dependence on the governing parameters is briefly discussed. Instabilities referred to as RM-like, driven by localized non-uniform vorticity, also exist; they are either initially deposited or supplied by external sources. Ablative RMI and its stabilization mechanisms are discussed as an example. When the ripple amplitude increases and becomes comparable to the perturbation wavelength, the instability enters the nonlinear phase and the perturbation velocity starts to decrease. An analytical model to describe this second stage of instability evolution is presented within the limit of incompressible and irrotational fluids, based on the dynamics of the contact surface circulation. RMI in solids and liquids is also presented via molecular dynamics simulations for planar and cylindrical geometries, where we show the generation of vorticity even in viscid materials.

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