Optimizing the composition profile of a functionally graded interlayer using a direct transcription method

Abstract

International audienc

Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties

“…Functionally graded interlayers are used to reduce the above effects (Batra and Love, 2006;Cavalcante et al, 2007). The effect of non-homogeneity on the response of a cylindrical tube was first studied by Geymonat et al (1987a,b) and recently investigated by Horgan and Chan (1999a,b), Chen et al (2000), Tarn and Wang (2001), Tarn (2002b,a), Ruhi et al (2005) and Boussaa (2006). For large differences of parameters of multi-component periodic materials made of very fine layers, additional interlayers are not the best solution and therefore we need the analysis of the behavior of the non-homogeneous material as well as the related behavior of the homogenized material obtained by assuming that the typical size of the layers e tends to zero.…”

Transient Thermoelastic Problem for a Laminated Composite Hollow Sphere with an Interlayer of Functionally Graded Material

“…Introducing the Laplace transformation with respect to the variable τ , the solution of Eqs. (6) and (7) can be obtained so as to satisfy the conditions (8)- (12). These solutions are shown as follows:…”

“…Choi and Paulino analyzed the problem of thermoelastic contact mechanics for a coating/substrate system with functionally graded properties that are assumed to vary exponentially through the thickness (10) . For a three-layer cylinder, Sugano obtained an analytical solution for the steady thermal stress problem in a composite hollow cylinder with an interface of functionally graded material (11) , and Boussaa investigated the problems of the optimization of the composition profile of a functionally graded interlayer minimizing the stresses induced by temperature and pressure loading (12) .…”

Homogenization of a pressurized tube made of elastoplastic materials with discontinuous properties

“…The elastic and elastoplastic response of homogeneous and non-homogeneous thick-or thin-walled tubes under different boundary conditions was studied by Chatterjee (1970), Mukhopadhyay (1982), Geymonat et al (1987a,b), and more recently investigated by Batra and Adulla (1995), Batra and Rattazi (1997), Horgan and Chan (1999a,b), Chen et al (2000), Krishnaswamy and Beatty (2001), Tarn and Wang (2001), Burns andDavies, 2002, Tarn (2002b,a), Batra and Love (2004), Ruhi et al (2005), Eraslan and Akis (2005), Batra and Lear (2005), Boussaa (2006) and Hosseini Kordkheili and Naghdabadi (2007). In many non-homogeneous cases the heterogeneities are assumed to obey defined smooth or continuous spatial variations.…”