Conference Papers
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Item Processing of primary silicon and mg2si reinforced hybrid functionally graded aluminum composites by centrifugal casting(Trans Tech Publications Ltd ttp@transtec.ch, 2012) Raghunandan, S.; Akber Hyder, J.; Rajan, T.P.D.; Prabhu, K.N.; Pai, B.C.In the present investigation, FGMs of mono-dispersed in-situ primary Si and their hybrids with mg2si reinforcements have been fabricated by the centrifugal casting process using 390 commercial Al alloy. Hard primary silicon particles are formed during the solidification of the 390 alloy and mg 2si reinforcements are formed by the addition of varying amount of magnesium into the A390 aluminium alloy. Owing to the difference in density both primary silicon and mg2si gets segregated towards the inner periphery during centrifugal casting. The size of the mg2si in-situ reinforcement phase is relatively smaller and is distributed in the edges of primary silicon particles and also individually in the matrix. The in-situ mg2si and primary silicon can significantly increase the hardness and strength of the inner periphery of the casting. Higher Mg contents have been observed to introduce significant porosity leading to poor castings. Addition of phosphorous to the melt has led to the modification and refinement of primary Si morphology and also helped in the reduction of shrinkage porosity. Maximum hardness of 167 BHN is observed towards the inner periphery of the 390Al-2.5%Mg added in-situ composite. © (2012) Trans Tech Publications.Item A comparison of the non-conforming and conforming sector finite element for free vibration of circular discs(Elsevier Ltd, 2020) Avvaru, H.T.; Joladarashi, S.; Kadoli, R.A twelve-term non-conforming and a sixteen-term conforming displacement polynomial are obtained from Pascal's triangle to deduce the shape functions for a sector element. Using the sector element circular disc is discretized. The number of degrees of freedom for the sector element at a given node is three and four. Kirchhoff's plate theory is the basis for strain energy and kinetic energy because of the transverse motion of the circular plate. Associated stiffness and mass matrices for the sector element are derived in closed form using MATHEMATICA. Using the Lagrange equation, the free vibration equation of motion for the circular disc is derived. A validation study is conducted, and non-dimensional frequencies from the finite element solution are compared with the analytical solutions reported in the literature. Subsequently, the natural frequencies of Al-Al2O3functionally graded circular disc with gradation in the thickness direction are evaluated for a variety of boundary conditions. © 2020 Elsevier Ltd. All rights reserved.Item Effect of initial stresses on vibration behavior of functionally graded materials(Elsevier Ltd, 2020) Swaminathan, K.; Hirannaiah, H.; Rajanna, T.Functionally Graded Materials (FGM) is the result of continuous gradation of two or more constituent materials over a certain volume. This type of material overcomes many problems, particularly delamination, cracking and damages which are very frequently found in laminated composite materials. The FGMs are commonly found in space structures, and these structural elements are subjected to various kinds of loadings during its service period, in which in-plane loading is the one which significantly affects the vibration characteristics of the structural elements. In this investigation, the effect of tensile and compressive stresses on vibration characteristics of FG panels has been studied by using finite element technique (FE). For mathematical modelling Poisson's ratio is assumed constant and Young's modulus of elasticity is assumed to vary according to the power-law distribution of volume fraction of the constituents. The plate is modelled by using 8-noded isoparametric element by considering the effect of transverse shear deformation and rotary inertia. The effect of different factors such as volume fraction index, the thickness of the panel, boundary condition and tensile as well as compressive edge loads are considered to study the vibration behaviour of the FGM plate under tensile and compressive uniaxial edge loads. © 2020 Elsevier Ltd. All rights reserved.Item Vibration Analysis of FGM Plates Resting on Elastic Foundation in Thermal Environment Using Element-Free Galerkin (EFG) Meshless Solution(Springer Science and Business Media Deutschland GmbH, 2024) K P, K.P.; Indu, N.; Swaminathan, K.The present paper deals with the effect of temperature on the vibration characteristics of functionally graded plates resting on two-parameter elastic foundations. The temperature-dependent mechanical properties of the plates are assumed to vary through thickness. The present solutions are derived using an element-free Galerkin (EFG) meshless method. Using the EFG solution method, the numerical results are presented and compared with those available in the literature. Results show that the foundation stiffness, temperature, and other parameters have a significant influence on the vibration response of functionally graded plates resting on elastic foundation. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.Item An Element-Free Galerkin (EFG) Meshless Solution for Static Analysis of FGM Plates Resting on Elastic Foundation(Springer Science and Business Media Deutschland GmbH, 2024) Indu, N.; K P, K.P.; Swaminathan, K.An element free Galerkin (EFG) meshless solution method is presented in this paper to illustrate the bending response of FGM plates resting on Winkler–Pasternak elastic foundations. A power law distribution is used to govern the gradation of material properties through the plate thickness. To check the validity of the theory and formulations, the obtained results are compared with the previous results. Comparison studies reveal that the results of the proposed solution method is more accurate and yield faster results than other methods. Parametric studies are performed to show the influences of elastic foundation coefficients and power law index on the deflection of FGM plates. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.
