CMES-Vol. 85, No. 3, 2012

Open Access

ARTICLE

Upper and Lower Bounds of the Solution for the Superelliptical Plates Problem Using Genetic Algorithms
H.W. Tang¹, Y.T. Yang¹, C.K. Chen¹
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.3, pp. 193-206, 2012, DOI:10.3970/cmes.2012.085.193
Abstract In this article, a new method combining the Mathematical Programming and the Method of Weighted Residual called MP-MWR is presented. Under the validation of maximum principle, and up on the collocation method, the differential equation can be transferred into a bilateral inequality problem. Applying the genetic algorithms helps to find optimal solutions of upper and lower bounds which satisfy the inequalities. Here, the method is verified by analyzing the deflection of superelliptical clamped plate problem. By using this method, the good approximate solution and its error bounds can be obtained effectively and accurately. More >

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ARTICLE

Simulation of Fragmentation with Material Point Method Based on Gurson Model and Random Failure
Pengfei Yang¹, Yan Liu¹, Xiong Zhang^1,2, Xu Zhou³, Yuli Zhao³
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.3, pp. 207-238, 2012, DOI:10.3970/cmes.2012.085.207
Abstract The material point method is extended to the simulations of fragmentation driven by detonation. A crack modeling scheme based on contact algorithm with material failure process is developed to study the dynamic crack propagation in plastic media. When considering microscopic damage of material, the plastic behavior is described by Gurson model with randomly-distributed initial void of material points. Gurson model can degenerate to J2 plastic theory while the microscopic void is ignored, in which situation the Weibull random failure scheme will be used. Meanwhile, a background-grid-based searching method is proposed to capture the statistical feature of the fragmentation. The scaling… More >

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Rigorous Joining of Asymptotic Beam Models to Three-Dimensional Finite Element Models
Huimin Song¹, Dewey H. Hodges¹
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.3, pp. 239-278, 2012, DOI:10.3970/cmes.2012.085.239
Abstract The present paper presents a rigorous approach that can accurately and efficiently capture the linear, static and free-vibration behaviors of a beam-like structure by the rigorous combination of a one-dimensional beam model with a three-dimensional continuum model. This study focuses on coupling these disparate finite element types, putting them both into a single finite element model while making use of the asymptotically exact information available as part of the beam model, which itself is obtained by asymptotic dimensional reduction. The coupling is undertaken by use of appropriate transformation matrices at the interface together with stress and displacement recovery relations that… More >

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ARTICLE

Uniform Loading of a Cracked Layered Composite Plate: Experiments and Computational Modelling
A.P.S. Selvadurai^1,2, H. Nikopour²
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.3, pp. 279-298, 2012, DOI:10.3970/cmes.2012.085.279
Abstract This paper examines the influence of a through crack on the overall flexural behaviour of a layered composite Carbon Fibre Reinforced Polymer (CFRP) plate that is fixed boundary along a circular boundary. Plates with different through crack configurations and subjected to uniform air pressure loading are examined both experimentally and computationally. In particular, the effect of crack length and its orientation on the overall pressure-deflection behaviour of the composite plate is investigated. The layered composite CFRP plate used in the experimental investigation consisted of 11 layers of a polyester matrix unidirectionally reinforced with carbon fibres. The bulk fibre volume fraction… More >

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