Open Access
ARTICLE
Łukasz Kaczmarczyk1
CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 55-62, 2006, DOI:10.3970/cmc.2006.004.055
Abstract In recent years the multiscale computational
homogenisation has been extensively developed. Such
micro-macro modelling does not require any constitutive
assumptions at the macro-level. The multi-scale computational
homogenisation has also been extended for the
second order continuum at the macro level Kouznetsova
V.G., Geers M.G.D., and Brekelmans V.A.M (2004). The
second-order framework is based on incorporation of the
gradient of macroscopic deformation in micro to macro
multiscale transition. The introduction of the secondorder
continuum at macro-scale takes into account the
size effect and gives more accurate results in case of
insufficient scale separation. The general framework
of computational homogenisation has been… More >
Open Access
ARTICLE
L. Gornet1, S. Marguet2, G. Marckmann3
CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 63-74, 2006, DOI:10.3970/cmc.2006.004.063
Abstract The purpose of the present study is to determine the components of the effective elasticity tensor and the failure properties of Nomex® honeycomb cores. In order to carry out this study, the NidaCore software, a program dedicated to Nomex®Cores predictions, has been developed using the Finite Element tool Cast3M-CEA. This software is based on periodic homogenization techniques and on the modelling of structural instability phenomena. The homogenization of the periodic microstructure is realized thanks to a strain energy approach. It assumes the mechanical equivalence between the microstructures of a RVE and a similar homogeneous macroscopic volume. The key point of… More >
Open Access
ARTICLE
Shengping Shen1, S. N. Atluri2
CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 75-86, 2006, DOI:10.3970/cmc.2006.004.075
Abstract To improve the fatigue life of metallic components, especially in aerospace industry, shot peening is widely used. There is a demand for the advancement of numerical algorithms and methodologies for the estimation of residual stresses due to shot peening. This paper describes an analytical model to simulate the shot peening process and to estimate the residual stress field in the surface layer. In this reasonable, convenient, and simple model, no empirical relation is used, and the effects of shot velocity are included. The results of validation of this model against the test data are very good. More >
Open Access
ARTICLE
Chih-Ping Wu1, Yun-Siang Syu
CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 87-108, 2006, DOI:10.3970/cmc.2006.004.087
Abstract Based on the three-dimensional (3D) piezoelectricity, we presented asymptotic solutions for multilayered piezoelectric hollow cylinders using the method of perturbation. The material properties in the general formulation are firstly regarded to be heterogeneous through the thickness, and then specified as the layerwise step functions in the cases of multilayered cylinders. The transverse normal load and normal electric displacement are respectively applied on the lateral surfaces of the cylinders. The boundary conditions of cylinders are considered to be simply supported at the two edges. In the formulation the twenty-two basic equations of piezoelectricity are reduced to eight differential equations in terms… More >
Open Access
ARTICLE
J. Sladek1, V. Sladek1, Ch. Zhang2, F. Garcia-Sanche3, M. Wünsche2
CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 109-118, 2006, DOI:10.3970/cmc.2006.004.109
Abstract Piezoelectric materials have wide range engineering applications in smart structures and devices. They have usually anisotropic properties. Except this complication electric and mechanical fields are coupled each other and the governing equations are much more complex than that in the classical elasticity. Thus, efficient computational methods to solve the boundary or the initial-boundary value problems for piezoelectric solids are required. In this paper, the Meshless local Petrov-Galerkin (MLPG) method with a Heaviside step function as the test functions is applied to solve two-dimensional (2-D) piezoelectric problems. The mechanical fields are described by the equations of motion with an inertial term.… More >
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