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A meshless Smoothed Hydrodynamic Particle (SPH) model is established to simulate the bending deformation of 2D structures made of Functionally Graded Materials (FGMs). The material property is assumed to be varied continuously through the thickness direction according to the power-law distribution. Problems in the classical SPH formulation, like inconsistency and tensile instability are solved by introducing several techniques. Several benchmarks are selected to estimate the performance of the proposed SPH model. [ABSTRACT FROM AUTHOR]

The aim of this paper is to predict the low velocity impact damage in composite laminates through meshless Smoothed Particle Hydrodynamics (SPH) method. SPH shell model is developed based on the First-Order Shear Deformation Theory as well as explicit time integration using central difference method. The contact force is determined by the modified Hertzian contact model and the impact-induced damage is predicted by Tsai-Wu criterion. Several examples are investigated to demonstrate the accuracy of the present SPH model by comparing the results to those available in the literature. [ABSTRACT FROM AUTHOR]

This paper presents an alternative topology optimization method based on an efficient meshless smoothed particle hydrodynamics (SPH) algorithm. To currently calculate the objective compliance, the deficiencies in standard SPH method are eliminated by introducing corrective smoothed particle method and total Lagrangian formulation. The compliance is established relative to a designed density variable at each SPH particle which is updated by optimality criteria method. Topology optimization is realized by minimizing the compliance using a modified solid isotropic material with penalization approach. Some numerical examples of plane elastic structure are carried out and the results demonstrate the suitability and effectiveness of the proposed SPH method in the topology optimization problem. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

The objective of this paper is to present an extension of the Lagrangian Smoothed Particle Hydrodynamics (SPH) method to solve three-dimensional shell-like structures undergoing large deformations. The present method is an enhancement of the classical stabilized SPH commonly used for 3D continua, by introducing a Reissner-Mindlin shell formulation, allowing the modeling of moderately thin structure using only one layer of particles in the shell mid-surface. The proposed Shell-based SPH method is efficient and very fast compared to the classical continuum SPH method. The Total Lagrangian Formulation valid for large deformations is adopted using a strong formulation of the differential equilibrium equations based on the principle of collocation. The resulting non-linear dynamic problem is solved incrementally using the explicit time integration scheme, suited to highly dynamic applications. To validate the reliability and accuracy of the proposed Shell-based SPH method in solving shell-like structure problems, several numerical applications including geometrically non-linear behavior are performed and the results are compared with analytical solutions when available and also with numerical reference solutions available in the literature or obtained using the Finite Element method by means of ABAQUS© commercial software. [ABSTRACT FROM AUTHOR]

Abstract Bi-directional Functionally Graded Materials (FGMs) is of more and more focus in special engineering application like aerospace craft at high altitude and speed. In this paper, bending analysis of this type Functionally Graded Beam (FGB) is performed by a proposed meshless Total Lagrangian (TL) Corrective Smoothed Particle Method (CSPM) which owns more capability in accuracy and stability than the classical Smoothed Particle Hydrodynamics (SPH) method. This method is validated by comparison of the bending deformation with analytical method, ABAQUS and a self-programmed finite element code. The influence of the gradient indexes and boundary conditions on the deformation behavior is also investigated. The method is proved to be more precise and stable than the semi-analytical and FE results when dealing with power-law bi-directional FGB. Highlights • Meshless SPH method is developed for the bending analysis of two-directional Functionally Graded Beam (FGB). • The convergence and accuracy of the proposed SPH model is validated by analyzing an exponentially varied bi-directional FGB. • For bi-directional FGB of power-law model, the proposed SPH model is proved more precise than the semi-analytical solution in literature. • The proposed SPH model shows better stability than FE solution by ABAQUS and a self-programmed code, where mesh is distorted. [ABSTRACT FROM AUTHOR]