Abstract
The paper focuses on the calculation of the effective elastic properties of a laminated composite shell with imperfect contact between the layers. To achieve this goal, first the two-scale asymptotic homogenization method (AHM) is applied to derive the solutions for the local problems and to obtain the effective elastic properties of a two-layer spherical shell with imperfect contact between the layers. The results are compared with the numerical solution obtained by finite elements method (FEM). The limit case of a laminate shell composite with perfect contact at the interface is recovered. Second, the elastic properties of a spherical heterogeneous structure with isotropic periodic microstructure and imperfect contact is analyzed with the spherical assemblage model (SAM). The homogenized equilibrium equation for a spherical composite is solved using AHM and the results are compared with the exact analytical solution obtained with SAM.
Highlights
Composite materials have emerged as the materials of choice in various branches of industry – aerospace, automotive, sport, etc. – for increasing the performance and reducing the weight and cost
In this paper three different approaches areused to study the elastic properties of a spherical shell composite
The two-scale Asymptotic Homogenization Method is used to obtain the general expression of the local problems and the effective coefficients of elastic composites with imperfect contact at the interface
Summary
Composite materials have emerged as the materials of choice in various branches of industry – aerospace, automotive, sport, etc. – for increasing the performance and reducing the weight and cost. Defects induced during the manufacturing process or accumulated due to environmental and operational loads lead to the reduction in the mechanical performance and material strength and are recognized as a general problem in this type of composites, [1] Most typically, such defects can be found at the interfaces between the layers creating an imperfect contact condition, [2,3]. In [21] the authors considered the effect in the elastic properties of a spherical laminated shell composite under the influence of stress and strain distributions for two composites with perfect and imperfect contact at the interface using AHM and SAM. The same effect in the spherical shell structure is studied except that the imperfect contact condition is modeled as a linear spring type and the FEM is used to validate the results obtained via AHM and SAM. The effective displacement, radial and hoop stresses computed via AHM are compared with the elastic fields calculated by FEM and SAM
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