@Article{cmes.2006.016.057,
AUTHOR = {J.  Sladek, V.  Sladek, Ch.  Zhang, C.L.  Tan},
TITLE = {Meshless Local Petrov-Galerkin Method for Linear Coupled Thermoelastic Analysis},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {16},
YEAR = {2006},
NUMBER = {1},
PAGES = {57--68},
URL = {http://www.techscience.com/CMES/v16n1/26694},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.3970/cmes.2006.016.057}
}