Open Access
ARTICLE
K. Lee1, H. Park2, S.W. Lee3
CMES-Computer Modeling in Engineering & Sciences, Vol.32, No.3, pp. 113-122, 2008, DOI:10.3970/cmes.2008.032.113
Abstract A post-processing scheme is presented
to accurately determine transverse shear and normal
stresses in composite panels undergoing geometrically
nonlinear deformation under dynamic
loading conditions. Transverse stresses are assumed
through thickness at a point of interest and
are recovered via a one-dimensional finite element
method. The finite element method is based
on the least square functional of the error in the
equilibrium equation along the thickness direction
and utilizes the in-plane stresses and resultant
transverse shear forces per unit length obtained
by a shell element analysis. Numerical results
demonstrate that, with minimal addition of
computational efforts, the present post-processing
approach can… More >
Open Access
ARTICLE
Vikas Namdeo1,2, C S Manohar1,3
CMES-Computer Modeling in Engineering & Sciences, Vol.32, No.3, pp. 123-160, 2008, DOI:10.3970/cmes.2008.032.123
Abstract The problem of identification of nonlinear system parameters from measured time histories of response under known excitations is considered. Solutions to this problem are obtained by using the force state mapping technique with two alternative functional representation schemes. These schemes are based on the application of reproducing kernel particle method (RKPM) and kriging techniques to fit the force state map. The RKPM has the capability to reproduce exactly polynomials of specified order at any point in a given domain. The kriging based methods represent the function under study as a random field and the parameters describing this field are optimally… More >
Open Access
ARTICLE
J. Sladek1, V. Sladek1, C.L. Tan2, S.N. Atluri3
CMES-Computer Modeling in Engineering & Sciences, Vol.32, No.3, pp. 161-174, 2008, DOI:10.3970/cmes.2008.032.161
Abstract A meshless method based on the local Petrov-Galerkin approach is proposed for the solution of steady-state and transient heat conduction problems in a continuously non-homogeneous anisotropic medium. The Laplace transform is used to treat the time dependence of the variables for transient problems. The analyzed domain is covered by small subdomains with a simple geometry. A weak formulation for the set of governing equations is transformed into local integral equations on local subdomains by using a unit test function. Nodal points are randomly distributed in the 3D analyzed domain and each node is surrounded by a spherical subdomain to which… More >
Open Access
ARTICLE
X.G. Yuan1,2, H.W. Zhang1
CMES-Computer Modeling in Engineering & Sciences, Vol.32, No.3, pp. 175-184, 2008, DOI:10.3970/cmes.2008.032.175
Abstract In this paper, a dynamic problem that describes void formation and motion in an incompressible hyperelastic solid sphere composed of a transversely isotropic Valanis-Landel material is examined, where the sphere is subjected to a class of periodic step tensile loads on its surface. A motion equation of void is derived. On analyzing the dynamical properties of the motion equation and examining the effect of material anisotropy on void formation and motion in the sphere, we obtain some new and interesting results. Firstly, under a constant surface tensile load, it is proved that a void would form in the sphere as… More >