CMES-Vol. 69, No. 3, 2010

Open Access

ARTICLE

An Atom-Based Continuum Method for Multi-element Crystals at Nano Scale
Xianqiao Wang¹, James D. Lee²
CMES-Computer Modeling in Engineering & Sciences, Vol.69, No.3, pp. 199-222, 2010, DOI:10.3970/cmes.2010.069.199
Abstract This paper presents an atom-based continuum (ABC) method aiming at a seamless transition from the atomistic to the continuum description of multi-element crystalline solids (which has more than one kind of atom in the unit cell). Contrary to many concurrent multiscale approaches, ABC method is naturally suitable for the analysis of multi-element crystals within a finite element (FE) framework. Taking both efficiency and accuracy into account, we adopt a cluster-based summation rule for atomic force calculations in the FE formulations. Single-crystals MgO, BaTiO₃ and Cu under mechanical loading are modeled and simulated. With a coarse-grained mesh, More >

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Quadrilateral Finite Element with Embedded Strong Discontinuity for Failure Analysis of Solids
J. Dujc^1,3, B. Brank^1,2, A. Ibrahimbegovic³
CMES-Computer Modeling in Engineering & Sciences, Vol.69, No.3, pp. 223-260, 2010, DOI:10.3970/cmes.2010.069.223
Abstract We present a quadrilateral finite element with discontinuous displacement fields that can be used to model material failure in 2d brittle and ductile solids. The element provides mesh-objective results. The element's kinematics can represent linear displacement jumps along the discontinuity line in both normal and tangential directions to the line. The cohesive law in the discontinuity line is based on rigid-plasticity model with softening. The material of the bulk of the element is described by hardening plasticity model. Static condensation of the jump-in-displacements kinematic parameters is made, which provides standard form of the element stiffness More >

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Analysis and Prediction of Edge Effect on Inherent Deformation of Thick Plates Formed by Line Heating
Adan Vega, Naoki Osawa, Sherif Rashed, Hidekazu Murakawa
CMES-Computer Modeling in Engineering & Sciences, Vol.69, No.3, pp. 261-280, 2010, DOI:10.3970/cmes.2010.069.261
Abstract A three dimensional thermal-elasto-plastic FEA has been performed to predict the heat induced (inherent) deformation produced in thick steel plates formed by line heating. Using this FEA, the edge effect on inherent deformation is clarified. From the results of this study, a method to predict the edge effect is developed. Using this method, the edge effect on inherent deformation, for a wide range of plate thickness and heating condition, can be easily predicted, been this, an important step toward the automation of the process. More >

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TVD Finite Element Scheme for Hyperbolic Systems of Conservation Laws
K. Kakuda¹, A. Seki¹, Y. Yamauchi¹
CMES-Computer Modeling in Engineering & Sciences, Vol.69, No.3, pp. 281-306, 2010, DOI:10.3970/cmes.2010.069.281
Abstract A finite element scheme based on the concept of TVD (total variation diminishing) with a flux-limiter for the hyperbolic systems of conservation laws is presented. The numerical flux is formulated effectively by the weighted integral form using exponential weighting functions. The TVD finite element scheme is applied to a Riemann problem, namely the shock-tube problem, for the Euler system of equations. Numerical results demonstrate the workability and the validity of the present approach through comparison with the exact solutions. More >

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