TY - JOUR

T1 - Analysis of 2D anisotropic thermoelasticity involving constant volume heat source by directly transformed boundary integral equation

AU - Shiah, Y. ui C.huin

AU - Hsu, Chung Lei

AU - Hwu, Chyanbin

N1 - Funding Information:
The authors gratefully acknowledge the financial support from the Ministry of Science and Technology, Taiwan ( MOST 106-2221-E-006-129 and MOST 104-2221-E-006-138-MY3 ).

PY - 2018/8

Y1 - 2018/8

N2 - For treating 2D anisotropic thermoelasticity without heat sources, a new volume-to-surface integral transformation has been reported, where no coordinate transformation is involved. In that approach, it is still inevitable to add an extra line integral in the boundary integral equation (BIE) to validate the transformation. Obviously, evaluation of the extra line integral shall require determination of all thermal data along the integration path inside domain. As a result, this process will partially destroy the nature of boundary solution when internal thermal data need to be first determined by the BIE for potential problems. In this paper, this new approach to directly transform the domain integral without coordinate transformation is followed to further treat the problem when uniform hear sources are presented inside domain. Another new treatment is the reformulation of all kernel functions, by which no more extra line integral is needed as in the previous work. A few benchmark examples are presented at last to illustrate the veracity of all formulations derived.

AB - For treating 2D anisotropic thermoelasticity without heat sources, a new volume-to-surface integral transformation has been reported, where no coordinate transformation is involved. In that approach, it is still inevitable to add an extra line integral in the boundary integral equation (BIE) to validate the transformation. Obviously, evaluation of the extra line integral shall require determination of all thermal data along the integration path inside domain. As a result, this process will partially destroy the nature of boundary solution when internal thermal data need to be first determined by the BIE for potential problems. In this paper, this new approach to directly transform the domain integral without coordinate transformation is followed to further treat the problem when uniform hear sources are presented inside domain. Another new treatment is the reformulation of all kernel functions, by which no more extra line integral is needed as in the previous work. A few benchmark examples are presented at last to illustrate the veracity of all formulations derived.

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U2 - 10.1016/j.enganabound.2018.03.022

DO - 10.1016/j.enganabound.2018.03.022

M3 - Article

AN - SCOPUS:85045242536

VL - 93

SP - 44

EP - 52

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

ER -