Numerical method for three-dimensional steady thermal stress problems using thermoelastic displacement potential.

Dd Methods for Three - Dimensional Thermoelastic Problems

Three Dimensional Thermal Shock Problem in Magneto-Thermoelastic Orthotropic Medium

The paper is concerned with the study of magneto-thermoelastic interactions in three dimensional thermoelastic medium under the purview of three-phase-lag model of generalized thermoelasticity. The medium under consideration is assumed to be homogeneous orthotropic medium. The fundamental equations of the three-dimensional problem of generalized thermoelasticity are obtained as a vector-matrix ...

ON MAXWELL'S STRESS FUNCTIONS FOR SOLVING THREE DIMENSIONAL ELASTICITY PROBLEMS IN THE THEORY OF ELASTICITY

The governing equations of three dimensional elasticity problems include the six Beltrami-Michell stress compatibility equations, the three differential equations of equilibrium, and the six material constitutive relations; and these are usually solved subject to the boundary conditions. The system of fifteen differential equations is usually difficult to solve, and simplified methods are usual...

Optimal Pareto Parametric Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method

Numerical solutions obtained by the Meshless Local Petrov-Galerkin (MLPG) method are presented for two dimensional steady-state heat conduction problems. The MLPG method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. The penalty method is adopted to efficiently enforce the essential boundary co...

Numerical Solution of One-Dimensional Stefan-Like Problems Using Three Time-Level Method

We introduce formulation based on three timelevel finitedifference method for onedimensional Stefanlike problems. Matrix method stability analysis of equations is also investigated. The computational results obtained by the present method are in excellent agreement with the results reported previously by the other authors.