CMC-Vol. 7, No. 3, 2008

Open Access

ARTICLE

Effective Elastic Property Estimation for Bi-continuous Heterogeneous Solids
L.M. Xu¹, H. Fan^2,3, X M Xie³, C. Li³
CMC-Computers, Materials & Continua, Vol.7, No.3, pp. 119-128, 2008, DOI:10.3970/cmc.2008.007.119
Abstract In the present study we performed finite element simulation for bi-continuous heterogeneous solids via a random distribution of materials to predict effective elastic properties. With a random distributing scheme, a statistical analysis via finite element becomes feasible for the multi-phase heterogeneous solids. Using a two-phase bi-continuous material as example, the numerical prediction of the effective properties is obtained in terms of a mean value and standard deviation with a sample size of 30 for each of given volume fraction. The finite element simulation results fall within the analytical bounds proposed by Hashin and Shtrikman (1963) More >

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ARTICLE

Effect of Prestrain on Formability and Forming Limit Strains During Tube Hydroforming
C. Nikhare¹, K. Narasimhan²
CMC-Computers, Materials & Continua, Vol.7, No.3, pp. 129-138, 2008, DOI:10.3970/cmc.2008.007.129
Abstract The tube hydroforming process is a relatively complex manufacturing process; the performance of this process depends on various factors and requires proper combination of part design, material selection and boundary conditions. In manufacturing of automotive parts, such as engine cradles, frames rails, sub-frames, cross members, and other parts from circular tubes, pre-bending and per-forming operations are often required prior to the subsequent tubular hydroforming process to fit the tubular blank in the complex die shape. Due to these pre-- hydroforming operations, some of the strains are already developed before going to the actual hydroforming process.… More >

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ARTICLE

The Lie-Group Shooting Method for Solving Classical Blasius Flat-Plate Problem
Chih-Wen Chang¹, Jiang-Ren Chang¹, Chein-Shan Liu²
CMC-Computers, Materials & Continua, Vol.7, No.3, pp. 139-154, 2008, DOI:10.3970/cmc.2008.007.139
Abstract In this paper, we propose a Lie-group shooting method to deal with the classical Blasius flat-plate problem and to find unknown initial conditions. The pivotal point is based on the erection of a one-step Lie group element$\mathbf G(T) and the formation of a generalized mid-point Lie group element$\mathbf G(r). Then, by imposing G(T) = G(r) we can derive some algebraic equations to recover the missing initial conditions. It is the first time that we can apply the Lie-group shooting method to solve the classical Blasius flat-plate problem. Numerical examples are worked out to persuade that the novel More >

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ARTICLE

Controllability Conditions of Finite Oscillations of Hyper-Elastic Cylindrical Tubes Composed of a Class of Ogden Material Models
X.G. Yuan^1,2, R.J. Zhang³, H.W. Zhang¹
CMC-Computers, Materials & Continua, Vol.7, No.3, pp. 155-166, 2008, DOI:10.3970/cmc.2008.007.155
Abstract In this paper, the dynamic inflation problems are examined for infinitely long cylindrical tubes composed of a class of transversely isotropic incompressible Ogden material models. The inner surface of the tube is subjected to a class of periodic step radial pressures relating to time. The influences of various parameters, namely, the material parameters, the structure parameters and the applied pressures, on dynamic behaviors of the tube are discussed in detail. Significantly, for some given material parameters, it is proved that the motion of the tube would present a class of nonlinear periodic oscillations for any… More >

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Computational Studies on Mechanical and Thermal Properties of Carbon Nanotube Based Nanostructures
Arnab Chakrabarty¹, Tahir Çağin¹
CMC-Computers, Materials & Continua, Vol.7, No.3, pp. 167-190, 2008, DOI:10.3970/cmc.2008.007.167
Abstract The excellent set of properties of carbon nanotube and carbon nanotube-based nanostructures has been established by various studies. However the claimed property values and trends have not been unanimously agreed upon. Using state of the art molecular dynamics and ab initio methods, we have extensively studied the mechanical, thermal and structural properties of carbon nanotubes and carbon nanotube based nanostructures. Additionally this study aims to address the approaches used in various studies to assess the validity and influence of various definitions used for determining the physical properties as reported in earlier experiments and theoretical calculations.… More >

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