Abstract
The improved element-free Galerkin method (IEFG) is presented to deal with thermo-elastic problems. This mesh-free method is a combination between the element-free Galerkin method and the improved moving least-square approximation. It has not the Kronecker delta property, and the penalty method is used to impose the essential boundary conditions. In this paper, linear and stationary thermo-elasticity is treated. To solve the thermo-elastic problem, this latter is decoupled into two separate parts: first, the heat transfer problem is analyzed to reach the temperature field, which is used as input in the mechanical problem to calculate the displacement field and then the stress fields. Numerical examples with different boundary conditions are illustrated. The performance and the accuracy of the IEFG method are approved when obtained results are compared to finite-element results and analytical solution.
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Communicated by Jorge X. Velasco.
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Debbabi, I., BelhadjSalah, H. Analysis of thermo-elastic problems using the improved element-free Galerkin method. Comp. Appl. Math. 37, 1379–1394 (2018). https://doi.org/10.1007/s40314-016-0401-1
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DOI: https://doi.org/10.1007/s40314-016-0401-1
Keywords
- Mesh free methods
- Element free Galerkin method (EFG)
- Improved element free Galerkin method (IEFG)
- Moving least square approximation (MLS)
- Improved moving least square approximation (IMLS)
- Linear thermo-elasticity