CMC-Vol. 23, No. 1, 2011

Open Access

ARTICLE

Molecular Dynamics Simulations of the Nanoindentation for Aluminum and Copper
Xiaozhi Tang¹, Yafang Guo¹, Yu Gao¹
CMC-Computers, Materials & Continua, Vol.23, No.1, pp. 1-8, 2011, DOI:10.3970/cmc.2011.023.001
Abstract Atomistic simulations were performed to study the nanoindentation for two kinds of FCC metals, aluminum and copper. Due to the higher stacking faults in aluminum than in copper, two different deformation mechanisms were observed in our simulation under exactly the same simulation condition. Aluminum and copper also showed different mechanical properties in the unloading stage. The influence of stacking sequence along the loading direction on deformation mechanism was also investigated in this paper. More >

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ARTICLE

A Coupling Algorithm of Finite Element Method and Smoothed Particle Hydrodynamics for Impact Computations
Yihua Xiao¹, Xu Han^1,2, Dean Hu¹
CMC-Computers, Materials & Continua, Vol.23, No.1, pp. 9-34, 2011, DOI:10.3970/cmc.2011.023.009
Abstract For impact computations, it is efficient to model small and large deformation regions by Finite Element Method (FEM) and Smoothed Particle Hydrodynamics (SPH), respectively. However, it requires an effective algorithm to couple FEM and SPH calculations. To fulfill this requirement, an alternative coupling algorithm is presented in this paper. In the algorithm, the coupling between element and particle regions are achieved by treating elements as imaginary particles and applying equivalent tractions to element sides on coupling interfaces. In addition, an adaptive coupling technique is proposed based on the algorithm to improve the computational efficiency of FEM-SPH coupling further. For this… More >

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ARTICLE

An Interaction Integral Method for Computing Fracture Parameters in Functionally Graded Magnetoelectroelastic Composites
J. Sladek¹, V. Sladek¹, P. Stanak¹, Ch. Zhang², M. Wünsche²
CMC-Computers, Materials & Continua, Vol.23, No.1, pp. 35-68, 2011, DOI:10.3970/cmc.2011.023.035
Abstract A contour integral method is developed for the computation of stress intensity, electric and magnetic intensity factors for cracks in continuously nonhomogeneous magnetoelectroelastic solids under a transient dynamic load. It is shown that the asymptotic fields in the crack-tip vicinity in a continuously nonhomogeneos medium are the same as in a homogeneous one. A meshless method based on the local Petrov-Galerkin approach is applied for the computation of the physical fields occurring in the contour integral expressions of intensity factors. A unit step function is used as the test functions in the local weak-form. This leads to local integral equations… More >

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Open Access

ARTICLE

The Global Nonlinear Galerkin Method for the Analysis of Elastic Large Deflections of Plates under Combined Loads: A Scalar Homotopy Method for the Direct Solution of Nonlinear Algebraic Equations
Hong-Hua Dai^1,2, Jeom Kee Paik³, Satya N. Atluri²
CMC-Computers, Materials & Continua, Vol.23, No.1, pp. 69-100, 2011, DOI:10.3970/cmc.2011.023.069
Abstract In this paper, the global nonlinear Galerkin method is used to perform an accurate and efficient analysis of the large deflection behavior of a simply-supported rectangular plate under combined loads. Through applying the Galerkin method to the governing nonlinear partial differential equations (PDEs) of the plate, we derive a system of coupled third order nonlinear algebraic equations (NAEs). However, the resultant system of NAEs is thought to be hard to tackle because one has to find the one physical solution from among the possible multiple solutions. Therefore, a suitable initial guess is required to lead to the real solution for… More >

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