TY  - EJOU
AU  - Sladek, J.  
AU  - Sladek, V.  
AU  - Zhang, Ch.  
AU  - Tan, C.L.  

TI  - Meshless Local Petrov-Galerkin Method for Linear Coupled Thermoelastic Analysis
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2006
VL  - 16
IS  - 1
SN  - 1526-1506

AB  - The Meshless Local Petrov-Galerkin (MLPG) method for linear transient coupled thermoelastic analysis is presented. Orthotropic material properties are considered here. A Heaviside step function as the test functions is applied in the weak-form to derive local integral equations for solving two-dimensional (2-D) problems. In transient coupled thermoelasticity an inertial term appears in the equations of motion. The second governing equation derived from the energy balance in coupled thermoelasticity has a diffusive character. To eliminate the time-dependence in these equations, the Laplace-transform technique is applied to both of them. Local integral equations are written on small sub-domains with a circular shape. They surround nodal points which are distributed over the analyzed domain. The spatial variation of the displacements and temperature are approximated by the Moving Least-Squares (MLS) scheme. After performing the spatial integrations, a system of linear algebraic equations for unknown nodal values is obtained. The boundary conditions on the global boundary are satisfied by the collocation of the MLS-approximation expressions for the displacements and temperature at the boundary nodal points. The Stehfest's inversion method is then applied to obtain the final time-dependent solutions.
KW  - Transient coupled thermoelasticity
KW  -  Orthotropic materials
KW  -  Moving least-squares interpolation
KW  -  2-D problems
KW  -  Laplace-transform
KW  -  Stehfest's inversion

DO  - 10.3970/cmes.2006.016.057