CMC-Vol. 24, No. 3, 2011

Open Access

ARTICLE

Nearest Particle Distance and the Statistical Distribution of Agglomerates from a Model of a Finite Set of Particles
J. Zidek^1,2, J. Kucera¹, J. Jancar^1,2
CMC-Computers, Materials & Continua, Vol.24, No.3, pp. 183-208, 2011, DOI:10.3970/cmc.2011.024.183
Abstract The structural analysis of a particulate composite with randomly distributed hard spheres is presented based on a model proposed earlier. The structural factors considered include the distribution of interparticle distances and the conditions for particle agglomeration. The interparticle distance was characterized by the nearest particle distance (NPD) and the distance derived from Delaunay triangulation (DT). The distances were calculated for every particle in the particle set and analyzed in the form of a cumulative distribution function (CDF). The CDF provides two parameters: the representation of particles which are in very close proximity to their neighbors More >

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ARTICLE

A New Quasi-Boundary Scheme for Three-Dimensional Backward Heat Conduction Problems
Chih-Wen Chang¹
CMC-Computers, Materials & Continua, Vol.24, No.3, pp. 209-238, 2011, DOI:10.3970/cmc.2011.024.209
Abstract In this study, we employ a semi-analytical scheme to resolve the three-dimensional backward heat conduction problem (BHCP) by utilizing a quasi-bound -ary concept. First, the Fourier series expansion method is used to estimate the temperature field u(x, y, z, t) at any time t < T. Second, we ponder a direct regularization by adding an extra term a(x, y, z, 0) to transform a second-kind Fredholm integral equation for u(x, y, z, 0). The termwise separable property of the kernel function allows us to acquire a closed-form regularized solution. In addition, a tactic to determine More >

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ARTICLE

A Three-dimensional Adaptive Strategy with Uniform Background Grid in Element-free Galerkin Method for Extremely Large Deformation Problems
Cheng-Te Chi¹, Ming-Hsiao Lee², Wen-Hwa Chen^1,3
CMC-Computers, Materials & Continua, Vol.24, No.3, pp. 239-256, 2011, DOI:10.3970/cmc.2011.024.239
Abstract A novel three-dimensional adaptive element-free Galerkin method (EFGM) based on a uniform background grid is proposed to cope with the problems with extremely large deformation. On the basis of this uniform background grid, an interior adaptive strategy through an error estimation within the analysis domain is developed. By this interior adaptive scheme, additional adaptive nodes are inserted in those regions where the solution accuracy needs to be improved. As opposed to the fixed uniform background grid, these inserted nodes can move along with deformation to describe the particular local deformation of the structure. In addition,… More >

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ARTICLE

On the Energy Release Rate at the Crack Tips in a Finite Pre-Strained Strip
Surkay D. Akbarov^1,2, Arzu Turan³
CMC-Computers, Materials & Continua, Vol.24, No.3, pp. 257-270, 2011, DOI:10.3970/cmc.2011.024.257
Abstract The influence of the initial finite stretching or compressing of the strip containing a single crack on the Energy Release Rate (ERR) and on the SIF of mode I at the crack tips is studied by the use of the Three-Dimensional Linearized Theory of Elasticity. It is assumed that the edges of the crack are parallel to the face planes of the strip and the ends of the strip are simply supported. The initial finite strain state arises by the uniformly distributed normal forces acting at the ends of the strip. The additional normal forces More >

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