BEM Stress Analysis for Thin Multilayered Composites Subjected to Inertial Loads

Shiah, Yui‐Chuin; Hwang, Wen Sheng; Shiah, Guan Chyun

doi:10.1177/0021998308099227

Cited by 5 publications

(2 citation statements)

References 15 publications

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“…An ideal alternative to overcome the modeling problem may resort to the BEM, where only the boundary needs to be discretized. However, a difficulty will arise if the BEM is used to model thin layers Shiah et al (2009). When resorting to the BEM for modeling the TBC, one may experience a difficulty of nearly singular integration Shiah and Chen (2007), although the modeling is much easier as compared with using the FEM.…”

Section: Introductionmentioning

confidence: 99%

Transient heat conduction across thermal barrier coating on an anisotropic substrate

Lee

Tsai

Shiah³

2014

Engineering Computations

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Purpose -The purpose of this paper is to examine the transient heat conduction in a two-dimensional anisotropic substrate coated with a thin layer of thermal barrier coating (TBC). Nowadays, materials with anisotropic properties have been extensively applied in various engineering applications for enhanced strength. However, under an extreme operating environment of high temperature, the strength of the materials may largely decline. As a common practice in engineering, TBC are usually applied to thermally insulate the substrates so as to allow for higher operating temperature. This research provides engineers a numerical approach for properly designing the TBC to protect the anisotropic substrate. Design/methodology/approach -For this investigation, a finite difference scheme using the domain mapping technique, transforming the anisotropic domain into isotropic one, is employed. The analysis considers three respective boundary conditions, namely Dirichelete condition, Neumann condition, and also forced convection, and studies the effect of various variables on the heat conduction in the coated system. Additionally, formulas for the steady-state temperature drop across the coating layer at the center are analytically derived. By comparing the numerical results with the analytical solutions, the veracity of the formulas is verified.Findings -A few interesting phenomena are observed from the numerical results. First, the rotation of the substrate's principal axes affects the temperature on the TBC front surface in a more obvious manner for the Neumann condition than that for convection. Second, the temperature profile of the Dirichelete condition rises faster than the other cases, although all their profiles present a similar pattern. Third, the transient temperature drop across the TBC under the convection condition presents a complicated pattern, depending on the TBC thickness. Finally, the increase of TBC thickness under the Dirichelete condition may provide better insulation than the other cases. In this paper, approximate analytical formulations for the steady-state temperature drop across the TBC are also presented. Numerical results by the finite difference method indicate excellent agreements with the analytical solutions. Originality/value -In the past, the finite element method (FEM) is usually applied for analyzing the heat conduction problem of TBC. However, one serious deficiency of applying the FEM to the TBC problem lies in the demand for a vast amount of elements (or cells) when the TBC thickness is far smaller than the substrate dimension. For ultra-thin coating, an enormous amount of elements are required that may lead to an extremely heavy computational burden. The paper presents an innovative finite difference approach that can be applied to analyze the heat conduction across the TBC coated on an anisotropic substrate. On the interface between the TBC and the substrate, a special heat equilibrium condition and the compatibility condition of identical temperature on the adjacent materials are use...

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Section: Introductionmentioning

confidence: 99%

Transient heat conduction across thermal barrier coating on an anisotropic substrate

Lee

Tsai

Shiah³

2014

Engineering Computations

Self Cite

View full text Add to dashboard Cite

show abstract

“…Thin layers of coating protect the material against corrosion, fatigue and intensive abrasive wear, and therefore the surface-coated materials perform more efficiently even under some extreme working conditions. To improve coating performances, multilayered systems, which are the so-called third generation coating systems [1] containing multiple layers of thickness in the micrometer and nanometer range, are created to overcome the optical, mechanical and/or barrier property limitations of single-layered coatings [2,3]. In engineering practice, robust models for coating performance are crucial for accurate design and analysis of systems containing such thin structures.…”

Section: Introductionmentioning

confidence: 99%

Internal stress analysis for single and multilayered coating systems using the boundary element method

Zhang

Chen

2011

Engineering Analysis with Boundary Elements

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Robust Ck/C0 generalized FEM approximations for higher-order conformity requirements: Application to Reddy’s HSDT model for anisotropic laminated plates

Mendonça

Barcellos

Torres

2013

Composite Structures

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BEM Stress Analysis for Thin Multilayered Composites Subjected to Inertial Loads

Cited by 5 publications

References 15 publications

Transient heat conduction across thermal barrier coating on an anisotropic substrate

Transient heat conduction across thermal barrier coating on an anisotropic substrate

Internal stress analysis for single and multilayered coating systems using the boundary element method

Robust Ck/C0 generalized FEM approximations for higher-order conformity requirements: Application to Reddy’s HSDT model for anisotropic laminated plates

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