BUKU ABSTRAK - Universiti Putra Malaysia

Quadrature Formula for Approximating the Singular Integral of Cauchy Type
with Unbounded Weight Function on the Edges
Dr. Zainidin K. Eshkuvatov
Nik Mohd. Asri Nik Long and Mohammad Abdulkawi
Institute of Mathematical Research, University Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.
+603-8946 6855; ezaini@science.upm.edu.my
Development of Ijuk (Arenga pinnata) Fibre Biocomposite for Small Boat
Application
Dr. Zulkiflle Leman
Sairizal Misri, Ridzwan Ishak, Mohd. Sapuan Salit and Umar Abdul Hanan
Faculty of Engineering, University Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.
+603-8946 6347; zleman@eng.upm.edu.my
Keywords: Biocomposite, sugar palm fibre, glass fibre, tensile, impact, hybrid material
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Science, Technology & Engineering
New quadrature formulas (QFs) for evaluating the singular integral (SI) of Cauchy type with unbounded
weight function on the edges are constructed. The construction of the QFs is based on the modification of discrete
vortices method (MMDV) and linear spline interpolation over the finite interval [-1,1]. It is proved that the
constructed QFs converge for any singular point x do not coincide with the end points of the interval [-1,1].
Numerical results are given to validate the accuracy of the QFs. The error bounds are found to be of order
O(h^alpha|lnh|) and O(h|lnh|) in the classes of functions H^alpha([-1,1], A) and C([-1,1]) respectively.
Keywords: Singular integral, quadrature formula, discrete vortices method, spline approximation, modification
In recent years, sugar palm fibre has been found to have great potential to be used as fibre reinforcement
in polymer matrix composites. This research investigated the possibility of sugar palm fibre to composite as
the building material in fabrication of a small boat. The study started with the determination of mechanical
properties of woven glass/sugar palm fibre that reinforced unsaturated polyester hybrid composite. The composite
specimens were compression moulded from different layers of fibre in different orientations such as strand mat,
natural and hand woven. The tensile and impact tests were carried out in accordance to ASTM 5083 and ASTM
D256. The boat was fabricated using hand lay up technique. The results of the experiment showed that the tensile
strength, tensile modulus, elongation at break values and impact strength were acceptable for this application. As
a general conclusion, the use of sugar palm fibre together with glass fibre has improved the mechanical properties
of the composite and is suitable to be used in small boat fabrication.