In this paper, the analytical solution is presented for axially functionally graded (AFG) angle-ply flat panels subjected to arbitrary boundary condition. Material properties of AFG panels are assumed to vary linearly along x-direction. Reissner-type variation principle is used to derive the governing equations in mixed form. By employing extended Kantorovich method (EKM), a set of nonhomogeneous ordinary differential equations (ODEs) are obtained along the in-plane (x) and thickness (z) direction. The system of ODEs along the z-direction has constant coefficients, solved analytically. However, the system of ODEs along x-direction has variable coefficients, solved using modified power series method. The influence of property variation on the deflection and stresses is studied and discussed comprehensively for different sets of boundary conditions. Numerical results are validated through comparison with 3D FE. The presented analytical solution can serve as a benchmark for assessing the accuracy of the two-dimensional solution or 3D numerical solutions.
BACKGROUND An alarming incidence and severity of jaundice in Malaria, especially in the Plasmodium falciparum variety, has been reported from various parts of the world and at times it causes diagnostic dilemma in both endemic and non-endemic areas, even sometimes affecting the outcome adversely. There are reports depicting association of severe jaundice with falciparum malaria masquerading as fulminant hepatic failure. This study is done to clinically evaluate the cases of malaria with hepatitis in terms of its presentations, extent of hepatic involvement and biochemical parameters. MATERIAL AND METHOD This study was done on 100 confirmed cases of malaria with jaundice, who were admitted in Gauhati Medical College and Hospital during a period of 12 months (1 st July 2012 to 30 th June 2013). Patients were admitted due to complications of malaria like jaundice, nausea and vomiting, pain abdomen, respiratory difficulty, oliguria, altered sensorium, etc. Detailed history, clinical examination, biochemical parameters for liver function test and other blood tests were done in all patients. RESULTS Age of the patients ranged from 13-55 years. Among all patients, 96% cases were P. falciparum and 4% cases were P. vivax. Fever and jaundice were present in 100% of cases. Among the cases, 14% had only splenomegaly, 30% had only hepatomegaly whereas 56% had enlargement of both the organs. The mean serum bilirubin level was 8.9 ± 8 mg/dL with predominantly conjugated hyperbilirubinaemia. Majority of the cases had elevated transaminases and alkaline phosphatase levels. Lowering of serum albumin level and derangement of prothrombin time was also noted in more than half of the patients while serum ammonia was elevated in small number of cases. Acute renal failure and cerebral malaria were the other complications noted frequently in cases of Malaria presenting with jaundice.
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