The meshless local Petrov–Galerkin (MLPG) method with radial basis functions (RBFs), and the higher order shear and normal deformable plate theory (HOSNDPT) are used to analyze static infinitesimal deformations of thick laminated composite elastic plates under different boundary conditions. Two types of RBFs, namely, multiquadrics (MQ) and thin plate splines (TPS), are employed for constructing...

In recent years, City University research group is developing a meshfree method based on Meshless Local Petrov Galerkin Method using Rankin source function (MLPG_R). The proposed method, works well for the simulations that we have carried out so far and gave a reasonable agreement with the experimental results for the wave profile. However, there is fluctuation in the pressure time history some...

Static deformations, and free and forced vibrations of a thick rectangular functionally graded elastic plate are analyzed by using a higherorder shear and normal deformable plate theory (HOSNDPT) and a meshless local Petrov–Galerkin (MLPG) method. All components of the stress tensor are computed from equations of the plate theory. The plate material, made of two isotropic constituents, is assum...

A coupled finite element (FE) method and meshless local Petrov-Galerkin (MLPG) method for analyzing two-dimensional potential problems is presented in this paper. The analysis domain is subdivided into two regions, a finite element (FE) region and a meshless (MM) region. A single weighted residual form is written for the entire domain. Independent trial and test functions are assumed in the FE ...

This paper presents a new method for the computational mechanics of large strain deformations of solids, as a fundamental departure from the currently popular finite element methods (FEM). The currently widely popular primal FEM: (1) uses element-based interpolations for displacements as the trial functions, and element-based interpolations of displacement-like quantities as the test functions;...

Recently, the efficiency of computer modeling and simulations has been improving dramatically. Consequently, the structural analysis of welding phenomena based on thermaleelasticeplastic finite element method (FEM) can be performedwith a good accuracy in a short time. However, if themodel to be analyzed is large and it has a complex shape, problemsmight occur with preprocessing, such as themesh...