### Abstract

As has been well documented for the boundary element method (BEM), a volume integral is present in the integral equation for thermoelastic analysis. Any attempt to directly integrate the integral shall inevitably involve internal discretization that will destroy the BEM's distinctive notion as a true boundary solution technique. Among the schemes to overcome this difficulty, the exact transformation approach is the most elegant since neither further approximation nor internal treatments are involved. Such transformation for 2D anisotropic thermoelasticity has been achieved by Shiah and Tan (1999) with the aid of domain mapping. This paper revisits this problem and presents a modified transformation for 2D anisotropic thermoelasticity, where no domain distortion is involved. Being defined in the original Cartesian coordinate system, the volume integral is analytically transformed to the boundary using the Stroh formalism. This transformation is favorable especially when the corresponding anisotropic field is directly calculated without resorting to the domain mapping technique. In the end, numerical examples are provided to show the validity of such a transformation.

Original language | English |
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Pages (from-to) | 257-270 |

Number of pages | 14 |

Journal | CMES - Computer Modeling in Engineering and Sciences |

Volume | 102 |

Issue number | 4 |

Publication status | Published - 2014 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Software
- Modelling and Simulation
- Computer Science Applications

### Cite this

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*CMES - Computer Modeling in Engineering and Sciences*, vol. 102, no. 4, pp. 257-270.

**Direct volume-to-surface integral transformation for 2D BEM analysis of anisotropic thermoelasticity.** / Shiah, Yui-Chuin; Hsu, Chung Lei; Hwu, Chyanbin.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Direct volume-to-surface integral transformation for 2D BEM analysis of anisotropic thermoelasticity

AU - Shiah, Yui-Chuin

AU - Hsu, Chung Lei

AU - Hwu, Chyanbin

PY - 2014/1/1

Y1 - 2014/1/1

N2 - As has been well documented for the boundary element method (BEM), a volume integral is present in the integral equation for thermoelastic analysis. Any attempt to directly integrate the integral shall inevitably involve internal discretization that will destroy the BEM's distinctive notion as a true boundary solution technique. Among the schemes to overcome this difficulty, the exact transformation approach is the most elegant since neither further approximation nor internal treatments are involved. Such transformation for 2D anisotropic thermoelasticity has been achieved by Shiah and Tan (1999) with the aid of domain mapping. This paper revisits this problem and presents a modified transformation for 2D anisotropic thermoelasticity, where no domain distortion is involved. Being defined in the original Cartesian coordinate system, the volume integral is analytically transformed to the boundary using the Stroh formalism. This transformation is favorable especially when the corresponding anisotropic field is directly calculated without resorting to the domain mapping technique. In the end, numerical examples are provided to show the validity of such a transformation.

AB - As has been well documented for the boundary element method (BEM), a volume integral is present in the integral equation for thermoelastic analysis. Any attempt to directly integrate the integral shall inevitably involve internal discretization that will destroy the BEM's distinctive notion as a true boundary solution technique. Among the schemes to overcome this difficulty, the exact transformation approach is the most elegant since neither further approximation nor internal treatments are involved. Such transformation for 2D anisotropic thermoelasticity has been achieved by Shiah and Tan (1999) with the aid of domain mapping. This paper revisits this problem and presents a modified transformation for 2D anisotropic thermoelasticity, where no domain distortion is involved. Being defined in the original Cartesian coordinate system, the volume integral is analytically transformed to the boundary using the Stroh formalism. This transformation is favorable especially when the corresponding anisotropic field is directly calculated without resorting to the domain mapping technique. In the end, numerical examples are provided to show the validity of such a transformation.

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M3 - Article

VL - 102

SP - 257

EP - 270

JO - CMES - Computer Modeling in Engineering and Sciences

JF - CMES - Computer Modeling in Engineering and Sciences

SN - 1526-1492

IS - 4

ER -