Sains Malaysiana 42(11)(2013): 1647–1654

The Use of Inter-conversion Equations on Bituminous Binder Data

(Penggunaan Persamaan Antara-Penukaran ke Atas Data Pengikat Berbitumen)

NUR IZZI MD. YUSOFF¹*, MOHD ROSLI HAININ², DAMIEN MOUNIER³

& GORDON D. AIREY⁴

¹Department of Civil and Structural Engineering, Faculty of Engineering and Build Environment

Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

²Faculty of Civil Engineering and Construction Research Alliance, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia

³Civil Aviation Technical Centre (STAC), CS 30012, 31 Avenue du Maréchal Leclerc

94385 Bonneuil-Sur-Marne Cedex, France

⁴Nottingham Transportation Engineering Centre, University of Nottingham

University Park, NG7 2RD Nottingham, United Kingdom

Received: 19 December 2012/Accepted: 9 April 2013

ABSTRACT

According to the classical theory of viscoelasticity, a linear viscoelastic (LVE) function can be converted into another viscoelastic function even though they emphasize different information. In this study, dynamic tests were conducted on different conventional penetration grade bitumens using a dynamic shear rheometer (DSR) in the LVE region. The results showed that the dynamic data in the frequency domain can be converted into the time domain functions using a numerical technique. This was done with the aid of the non-linear regularization (NLREG) computer program. The NLREG software is a computer program for solving nonlinear ill-posed problem and is based on non-linear Tikhonov regularization method. The use of data interconversion equation is found suitable for converting from the frequency domain into the time domain of conventional penetration grade bitumens.

Keywords: Complex modulus; creep compliance; master curve; relaxation modulus

ABSTRAK

Menurut teori klasik lekat kenyal, satu fungsi linear likat kenyal (LVE) boleh ditukar kepada fungsi likat kenyal yang lain walaupun ia menekankan maklumat yang berbeza. Dalam kajian ini, ujian dinamik dijalankan ke atas bitumen biasa yang berlainan gred penembusan dengan menggunakan reometer ricih dinamik (DSR) di dalam sempadan LVE. Keputusan menunjukkan bahawa data dinamik dalam domain frekuensi boleh ditukar kepada fungsi-fungsi dalam domain masa dengan menggunakan teknik berangka. Ini dilakukan dengan menggunakan bantuan perisian komputer pengaturan tidak linear (NLREG). Perisian NLREG adalah satu program komputer yang digunakan untuk menyelesaikan masalah tidak linear yang buruk yang timbul dan ia berdasarkan kaedah pengaturan Tikhonov tidak linear. Penggunaan persamaan antara-penukaran data adalah didapati sesuai untuk menukarkan domain frekuensi kepada domain masa terhadap bitumen bergred penembusan biasa.

Kata kunci: Lengkung utama; modulus kelonggaran; modulus kompleks; pematuhan rayap

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*Corrsponding author; email: izzi@vlsi.eng.ukm.my