Open Access
ARTICLE
B.B. Karki1, D. Bhattarai1, L. Stixrude2
CMC-Computers, Materials & Continua, Vol.3, No.3, pp. 107-118, 2006, DOI:10.3970/cmc.2006.003.107
Abstract Computer modeling of liquid phase poses
tremendous challenge: It requires a relatively large simulation
size, long simulation time and accurate interatomic
interaction and as such, it produces massive
amounts of data. Recent advances in hardware and software
have made it possible to accurately simulate the liquid
phase. This paper reports the details of methodology
used in the context of liquid simulations and subsequent
analysis of the output data. For illustration purpose,
we consider the results for the liquid phases of
two geophysically relevant materials, namely MgO and
MgSiO3. The simulations are performed using the parallel
first-principles molecular dynamics (FPMD) technique… More >
Open Access
ARTICLE
X.G. Yuan1, R.J. Zhang2
CMC-Computers, Materials & Continua, Vol.3, No.3, pp. 119-130, 2006, DOI:10.3970/cmc.2006.003.119
Abstract In this paper, the problem of cavity formation and motion in an incompressible transversely isotropic nonlinearly elastic solid sphere, which is subjected to a uniform radial tensile dead load on its surface, is examined in the context of nonlinear elastodynamics. The strain energy density associated with the nonlinearly elastic material may be viewed as the generalized forms of some known material models. It is proved that some determinate conditions must be imposed on the form of the strain energy density such that the surface tensile dead load has a finite critical value. Correspondingly, as the surface tensile dead load exceeds… More >
Open Access
ARTICLE
G. Haasemann1, M. Kästner1 and V. Ulbricht1
CMC-Computers, Materials & Continua, Vol.3, No.3, pp. 131-146, 2006, DOI:10.3970/cmc.2006.003.131
Abstract Novel textile reinforced composites provide
an extremely high adaptability and allow for the development
of materials whose features can be adjusted precisely
to certain applications. A successful structural and
material design process requires an integrated simulation
of the material behavior, the estimation of the effective
properties which need to be assigned to the macroscopic
model and the resulting features of the component.
In this context two efficient modelling strategies - the Binary
Model (Carter, Cox, and Fleck (1994)) and the Extended
Finite Element Method (X-FEM) (Moës, Cloirec,
Cartraud, and Remacle (2003)) - are used to model materials
which exhibit a… More >
Open Access
ARTICLE
T. Nishioka1, S. Tchouikov1, T. Fujimoto1
CMC-Computers, Materials & Continua, Vol.3, No.3, pp. 147-154, 2006, DOI:10.3970/cmc.2006.003.147
Abstract In this study, phenomena of multiple
branching of dynamically propagating crack are investigated
numerically. The complicated paths of cracks
propagating in a material are simulated by moving finite
element method based on Delaunay automatic triangulation
(MFEM BODAT), which was extended for
such problems. For evaluation of fracture parameters for
propagating and branching cracks switching method of
the path independent dynamic J integral was used. Using
these techniques the generation phase simulation of
multiple dynamic crack branching was performed. Various
dynamic fracture parameters, which are almost impossible
to obtain by experimental technique alone, were
accurately evaluated. More >
Open Access
ARTICLE
S. Straface1, S. Troisi, V. Gagliardi
CMC-Computers, Materials & Continua, Vol.3, No.3, pp. 155-166, 2006, DOI:10.3970/cmc.2006.003.155
Abstract The present work shows an alternative to the classical methods to solve the Richards' Equation (RE), used to model flow in unsaturated porous media. This alternative is named Cell Method (CM). The CM is based on a preliminary reformulation of the mathematical model in a partially discrete form, which preserves as much as possible the physical and geometrical content of the original problem, and is made possible by the existence and properties of a common mathematical structure of field theories. The goal is to maintain the focus, both in the modelling and discretization steps, on the physics of the problem.… More >
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