Functionally graded materials have been widely used in engineering and human health applications. The issues about mechanical behavior of functionally graded material have received considerable attention. However, because of the complexity of material property, geometric profile, and mechanical load, there is still lack of proper analytic solutions about deformation and stress in many articles. The principal goal of this research is to study the effect of mechanical load on deformation and stress in rotating thin-walled functionally gradient material annular disk with exponentially-varying profile and properties. The inner and outer surfaces of annular disk are subjected to different pressures simultaneously. For this purpose, the infinitesimal theory of elasticity and axisymmetric plane stress assumptions has been proposed to formulate the governing equation. The governing equation is a generalized confluent hypergeometric differential equation, based on Whittaker’s functions; this is the first time that closed-form solutions of mechanical behaviors are revealed about proposed functionally gradient material model. Besides, another four boundary conditions are also discussed, i.e., the inner and outer surfaces of the annular disk are considered to be the combinations of free and clamped conditions. Numeric examples of two different functionally graded material properties are given to demonstrate displacement and stress solutions. Moreover, uniform disks made of homogeneous material under different boundary conditions are investigated, which are special cases of the proposed rotating functionally gradient material disks. Finally, some conclusions are made at the end of the present paper.
This article presents analytical solutions for radial displacement and stresses of thin-walled functionally graded rotating disk subjected to pressure and temperature difference on its boundary surfaces. The thickness, elasticity modulus, material density, thermal expansion and thermal conduction coefficients of disk are represented by exponential forms of radial variable. Numerical results of radial displacement and stresses are shown in figures. Separate and combined effects of both pressure and temperature difference on radial displacement and stresses will be discussed graphically.
In this study, the mechanical behaviours of thick-walled hollow functionally graded material (FGM) cylinder subjected to uniform pressures at inner and outer surfaces are proposed. The hollow FGM cylinder has variable geometric profile, thickness and material properties like elastic modulus and mass density are all assumed to vary radially according to exponentially-varying functions in radial direction. With the help of the infinitesimal elasticity theory and plane strain assumption, analytic solutions of stress and deformation are proposed. Numerical example is given to show the performance between FEM and homogeneous cylinder. Finally, summary and the future work are presented at the end of the paper.
ChemInform Abstract The preparation of the new family of complexes (V) is shown in the scheme. The new species provide a protected void or lacuna in the vicinity of a coordination site at the metal, which may facilitate reversible O2 binding by derivatives of appropriate metal ions. The crystal structure determinations of (Va) (P21/c, Z=4) and (Vb) ( P21/n, Z=4) show that the orientation of the roof of the lacuna (formed by the bridging linkage) relative to the approximately planar parent Schiff base ligand is dependent on the substituents on the β-diketone moiety. Further model compounds (VII) demonstrate that the addition of the ether group to the electrophile does not influence its reactivity. Results of cyclic voltammetric studies on the model and lacunar complexes are given.
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