Arab J Sci Eng (2011) 36:541–552
DOI 10.1007/s13369-011-0065-5
RESEARCH ARTICLE - CHEMISTRY
Nadra Kerboua · Karim Moussaceb · Mustapha Kaci ·
Djafer Benachour · Tahar Sadoun · Nabila Rouba
Modeling of the Kinetic Degradation of Unstabilized
and HALS-Stabilized LDPE Films in Natural Aging
Received: 28 May 2010 / Revised: 16 September 2010 / Accepted: 7 October 2010 / Published online: 18 June 2011
© King Fahd University of Petroleum and Minerals 2011
Abstract In this work, we propose new mathematical models describing the kinetic degradation of unstabilized
low-density polyethylene (LDPE) and LDPE stabilized with hindered amine light stabilizers (HALS). The
samples were exposed to natural weathering conditions, and the degradation was measured by a change in
elongation at break with time. The mathematical approach developed was based on multiple linear regression
analysis (MLRA). We tested the reliability of the selected models using four statistical criteria: residual var-
iance, coefficient of determination, Student test and Fisher–Snedecor test. The linear systems resulting from
the MLRA were solved using the Cholesky method. The results showed that the polynomial models developed
to predict elongation at break were reliable for both types of samples under natural weathering conditions. The
experimental half-life times are close to those predicted by the models.
Keywords Low density polyethylene · Modeling · Degradation · Elongation at break
N. Kerboua · M. Kaci · T. Sadoun · N. Rouba
Laboratoire des Matériaux Organiques (LMO), Université Abderrahmane Mira, 06000 Bejaia, Algeria
K. Moussaceb (B )
Laboratoire de Technologie des Matériaux et de Génie des Procédés (LTMGP),
Université Abderrahmane Mira, 06000 Bejaia, Algeria
E-mail: karimmoussaceb@yahoo.fr
D. Benachour
Laboratoire de Génie des Polymères (LGP), Université Ferhat Abbas, 19000 Sétif, Algeria
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