Abstract
This study adapts the flexible characteristic of meshfree method in analyzing three-dimensional (3D) complex geometry structures, which are the interlocking concrete blocks of step seawall. The elastostatic behavior of the block is analysed by solving the Galerkin weak form formulation over local support domain. The 3D moving least square (MLS) approximation is applied to build the interpolation functions of unknowns. The pre-defined number of nodes in an integration domain ranging from 10 to 60 nodes is also investigated for their effect on the studied results. The accuracy and efficiency of the studied method on 3D elastostatic responses are validated through the comparison with the solutions of standard finite element method (FEM) using linear shape functions on tetrahedral elements and the well-known commercial software, ANSYS. The results show that elastostatic responses of studied concrete block obtained by meshfree method converge faster and are more accurate than those of standard FEM. The studied meshfree method is effective in the analysis of static responses of complex geometry structures. The amount of discretised nodes within the integration domain used in building MLS shape functions should be in the range from 30 to 60 nodes and should not be less than 20 nodes.
Highlights
Meshfree methods, that have been developed recent years, are believed to show more advantages than finite element method in dealing with problems of fluid flows, large deformations, crack growth along the complex path, fragment-impact, complex shape structures and so on [1,2,3,4,5]
The objective of this study is to present the application of EFGM using moving least square approximation in analyzing elastostatic responses of three-dimensional structure with complex geometry
The element free Galerkin (EFG) meshfree method using three-dimensional moving least square approximation was successfully applied in analyzing three-dimensional complex geometry structures, namely interlocking concrete blocks for step seawall structure
Summary
That have been developed recent years, are believed to show more advantages than finite element method in dealing with problems of fluid flows, large deformations, crack growth along the complex path, fragment-impact, complex shape structures and so on [1,2,3,4,5]. There are many different meshfree approaches, which have achieved remarkable solutions for numerical problems, such as. CMC, 2021, vol., no.1 smoothed particle hydrodynamics (SPH) method [6,7,8,9,10], finite difference methods with scattered points [11], element free Galerkin (EFG) method [8,9,10,11,12], meshless local Petrov-Galerkin method [13,14], dual-horizon peridynamics [15], nonlocal operator method [16], meshfree radial point interpolation method (RPIM) [17,18], natural neighbour radial point interpolation method (NNRPIM) [19], etc
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