# UNIVERSITI SAINS MALAYSIA

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2 PART A / BAHAGIAN A Which is the best to describe the response of a viscoelastic material in a creep test, Maxwell or Voight-Kelvin model? Provide justifications for your choice of model. Model manakah yang terbaik bagi menerangkan kelakuan suatu bahan viskoelastik semasa ujian krip, model Maxwell atau model Voight-Kelvin? Beri justifikasi bagi model pilihan anda. (100 marks/markah) 2. [a] Write short notes on ONE of the following topics: (i) Brittle-ductile transition. (ii) Yielding phenomena in polymers. Tulis nota ringkas tentang SATU daripada topik berikut: (i) Peralihan rapuh-mulur. (ii) Fenomena alah dalam polimer. (30 marks/markah) Table 1 below shows the data obtained from a Charpy impact test conducted on polypropylene at -40 o C. Jadual 1 menunjukkan data yang diperolehi daripada ujian hentaman Charpy ke atas polipropilena pada -40 o C. 3/-

3 - 3 - Table 1: Fracture energy of PP obtained from the impact test Jadual 1: Tenaga rekahan PP yang diperolehi daripada ujian hentaman Sample / Sampel Fracture Energy / Tenaga Rekahan (mj) Notch Length / Panjang Retak (mm) ϕ (i) Calculate the values of fracture toughness under both plane strain and plane stress conditions. Tentukan nilai keliatan rekahan di bawah keadaan terikan dan tegasan satah. (ii) Explain why values of fracture parameters obtained under plane strain are of more relevance in designing of polymeric products against failure? Jelaskan kenapakah parameter rekahan yang diperolehi di bawah keadaan terikan satah adalah lebih relevan dalam merekabentuk produk polimer terhadap kegagalan? (iii) How the toughness of PP samples can be improved at such a low temperature? Bagaimanakah keliatan sampel PP dapat diperbaiki pada suhu tersebut? Given / Diberi: Length of sample / Panjang sampel Width of sample / Lebar sampel Thickness of sample / Tebal sampel Span length / Panjang span Shear modulus at / Modulus ricih -40 o C = 90 mm = 6 mm = 6 mm = 72 mm = 1.14 GPa (70 marks/markah) 4/-

4 [a] Explain how the long chain nature of the molecules in rubber gives rise to the characteristic elastic properties of the material. Terangkan bagaimana rantaian panjang semulajadi molekul di dalam getah dapat menghasilkan pencirian sifat-sifat keelastikan sesuatu bahan. (60 marks/markah) What is the effect of strain induced crystallization in rubber on its: (i) stress strain curve and (ii) tear properties? Apakah kesan penghabluran teraruh terikan dalam getah ke atas: (i) lengkungan tegasan-terikan dan (ii) sifat-sifat pencabikan? (20 marks/markah) [c] The natural rubber band has a much higher tear resistance than a similar band made in SBR gum. Explain in molecular terms why this is so. Gegelang getah asli mempunyai ketahanan pencabikan yang lebih tinggi daripada gegelang yang sama yang diperbuat daripada gam SBR. Jelaskan dari segi molekul bagaimana keadaan ini berlaku. (20 marks/markah) 5/-

5 PART B / BAHAGIAN B [a] What is Boltzman superposition principal? Apakah prinsip superposisi Boltzman? (10 marks/markah) The creep compliance of a thermoplastic at 25 o C is described by: Krip komplians bagi suatu termoplastik pada 25 o C di ungkapkan sebagai: J c25 (t) = 1.2 x 10-3 t 0.10 (m 2 / N with t in s) (i) This material has T g = 0 o C. Assume that its temperature shift factors are given by the WLF equation with the universal constant. Obtain an equation that gives its creep compliance at 35 o C, J c35 (t). Bahan ini mempunyai T g = 0 o C. Dengan anggapan faktor anjakan suhunya boleh diperolehi dari persamaan WLF menggunakan pemalar universal, tentukan ungkapan bagi krip komplians pada 35 o C, J c35 (t). (30 marks/markah)...6/-

6 - 6 - (ii) The same material is subjected to the following stress history at 25 o C. Bahan yang sama dikenakan sejarah tegasan seperti yang berikut pada 25 o C. t 0 s τ = 0 N / m 2 0 t 1000 s τ = 1000 N / m t 2000 s τ = 1500 N / m t s τ = 0 N / m 2 Calculate the shear strain at 500, 1500, and 2500 s. Kirakan terikan ricih pada 500, 1500, dan 2500 s. (60 marks/markah) 7/-

7 [a] A rectangular bar of polycarbonate (PC) undergoes plane strain fracture in three-point bending at 25 o C at an applied force of 390 N. Calculate: (i) Fracture toughness. (ii) Fracture energy. (iii) The minimum specimen dimensions. (iv) The radius of the plastic zone. Satu bar polikarbonat telah mengalami rekahan di bawah keadaan terikan satah di bawah pembengkokan 3 titik pada 25 o C apabila dikenakan daya 390 N. Tentukan: (i) Keliatan rekahan. (ii) Tenaga rekahan. (iii) Dimensi minimum spesimen. (iv) Jejari zon plastik. Given / Diberi: Span length / Panjang span = 80 mm Specimen thickness / Tebal spesimen = 8 mm Notch length / Panjang retak = 10 mm Ratio of span length to width / Nisbah span ke lebar = 4 Shear Modulus / Modulus Ricih = 1.14 GPa Yield stress / Tegasan alah = 71 MPa Poisson s ratio / Nisbah Poisson = 0.42 Geometrical correction factor is given by: Faktor pembetulan geometri spesimen diberikan oleh: Y = (a/W) (a/W) (a/W) (a/W) 4 State clearly any assumption made in your calculation. Terangkan dengan jelas sebarang anggapan yang dibuat dalam pengiraan anda. (50 marks/markah) 8/-

8 - 8 - Write a short note on the application of linear elastic fracture mechanic theory in fatigue test. Tuliskan satu nota ringkas berhubung penggunaan teori rekahan kenyal linear dalam ujian fatigue. (30 marks/markah) [c] Explain how Considere Construction can be used to determine yield stress of polymers. Terangkan bagaimana Pembinaan Considere dapat digunakan untuk menentukan tegasan alah polimer. (20 marks/markah) 9/-

9 [a] A sample of polyisoprene containing 6 x chains between cross-links is extended uniaxially at 40 o C until its length is double the initial length. Calculate the heat gained or lost. Assume a Gaussion network and < r 2 > I = < r 2 > 0. Given: the transverse extension ratios (which must be equal) are: 1/2 γ x = γ y = 1/γ z γ z = 2 and Boltzmann s constant = 1.38 x J/K Satu sampel poliisoprene mengandungi 6 x rantaian di antara titik sambung silang yang telah dipanjangkan secara unipaksi pada 40 o C sehingga panjangnya telah berubah menjadi dua kali ganda daripada panjang asal. Kirakan haba yang terkumpul ataupun hilang. Anggarkan rangkaian Gaussion dan < r 2 > I = < r 2 > 0. Diberikan: ratio pemanjangan melintang (yang semestinya sama) adalah: 1/2 γ x = γ y = 1/γ z γ z = 2 dan pemalar Boltzmann s = 1.38 x J/K (75 marks/markah) The specimen of Question 6[a] is of initial length L i = 0.01 m. What is the force required to double its length? Sampel di dalam Soalan 6[a] mempunyai panjang asal L i = 0.01 m. Berapakah kekuatan yang diperlukan untuk menggandakan panjangnya? (25 marks/markah) 10/-

10 [a] A master curve for polyisobutylene indicates that stress relaxes to a modulus of 10 dyn / cm 2 in about 10 h at 25 o C. Using the WLF equation; (i) Calculate the glass transition temperature (T g ) for polyisobutylene. It is given that at T g, the modulus is observed at 2.0 x h. (ii) Estimate the time it will take to reach the same modulus at temperature of 20 o C. Keluk induk bagi poliisobutilena menunjukkan tegasan mengendur ke suatu modulus 10 dyn / cm 2 dalam tempoh 10 jam pada 25 o C. Dengan menggunakan persamaan WLF; (i) Tentukan suhu peralihan kaca bagi poliisobutilena. Pada T g, modulus tersebut diperhatikan pada 2.0 x jam. (ii) Anggarkan masa yang diperlukan bagi memerhatikan modulus tersebut pada suhu 20 o C. (30 marks/markah) With reference to Table 1 shown below, write a critical essay on Microstructural-property relationships of polymers. Berpandukan Jadual 1 yang diberikan di bawah, tulis satu esei kritik berhubung Hubungkait di antara mikrostruktur dan sifat bagi polimer. LDPE MDPE HDPE ρ (gcm -3 ) χ (%) Branch / Cabang (CH 3 /1000C atoms) T m ( 0 C) E x 10 8 (Nm -2 ) σ b x 10 7 (Nm -2 ) (40 marks/markah) 11/-

11 [c] Knowledge regarding network imperfections are important because it can effect the elasticity of the elastomer. Give your critical comments on three different types of network defects. Pengetahuan berkenaan dengan ketidaksempurnaan jaringan amat penting kerana ia boleh menentukan keelastikan sesuatu elastomer. Berikan komen secara kritikal terhadap tiga jenis kecacatan jaringan yang berbeza. (30 marks/markah) - ooooooo -

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