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1 w wz 8«3y pp. 51 ~ 58 m qp yp š w k sƒ Evaluation of Dynamic Modulus based on Aged Asphalt Binder y*á **Á***Á**** Lee, Kwan-HoÁCho, Kyung-RaeÁLee, Byung-SikÁSong, Yong-Seon Abstract Development of a new design guide which is based on empirical-mechanistic concept for pavement design is in action. It is called AASHTO 2002 Design Guide in USA and the KPRP(Korean Pavement Research Project in Korea. The material characteristic of hot mix asphalt is a key role in the design guide. Therefore it is urgent to get a proper materials database, especially the dynamic modulus of hot mix asphalt. In this research, dynamic modulus test, which is based on aged asphalt binder, has been carried out and proposed the predicted equation of dynamic modulus. Nine different hot mix asphalt with three different asphalt binder have been used for the dynamic modulus test. Short-term aging, which is covers the time for the production of asphalt plant, transportation, lay-down, and compaction, can be simulated at 135 o C with 2 hour curing. Long-term aging has been carried out for a performance period of asphalt pavement. The dynamic modulus of asphalt pavement increases with aging time. As the nominal aggregate size increases, the change of dynamic modulus is not big. Key Words : hot mix asphalt, mix design, gyratory compactor, superpave, compaction energy index, permanent deformation ü s x / w w y w ƒ y w w. AASHTO 2002, ù w x s w š, s w e sƒƒ w w w. ü qp yw sƒƒ w. e sƒw k x. qp s yp š w qp s k sƒw š, w k d w. x qp yw KS t ³ 9 (SMA SBS sw 3 qp w. m œ w, x wš»¾ š w» y 135 o C 4 w q, œ š ƒ w 135 o C 2 w.» y x œ qp y xw. yƒ w k ƒ. j q p z z ƒ ƒw. w : qpyw, w, z», rr,, x l ù k w wš.»» w w. j» wš wùƒ w xs. ù,, x, œ,, m w» w zš, wwš. ü s x / w w y w ƒ y w w. AASHTO 2002, ù w x s w š, s w e sƒƒ w w w. * z Áœ w y œw ( ** z Áœ w y œw *** z Áœ w y œw ****œ w y œw 51

2 ü qp yw sƒƒ w. e sƒw k x ( m k w, w, w w m w,, qp yw, p qp yw k p w e sƒ š w. qp yw k x w x s qpw w w. ü t qp yw w k DByƒ w ù, k w w w ƒ v w k. qp yp k e w sƒw š, x w»» yp ü x mw xw x wš w. 2. qp yw k w qp yw k p q w {» ww k d xp w l ³ ƒ w, w q l wk (complex modulus, E * w (½x y, x w d x, wk 1 t. k wk w, (4 tx. σ = σ o sin( ω t (1 xl k x w w ƒƒ. w (Superposition Principle w 2 lš w w. l š p qp yw w ³ w ƒ š AASHTO w qp p w, (Viscosity Temperature Susceptibility š, y v»». 3.36~3.98 ƒ. (5 tx. log( logη = A+ VTS log( T R», η [ ] :, cpoise, T R : temperature, ( R A : - š r VTS:»» Pellinen(2002 (VTS w (6 tx ƒ ù w w. loga( T c 10 A + VTS [ log( T ] r =», c :, T R : y w,( R (T R 0 :»,( R + [ log( ] 0 10 A VTS T R (5 (6 ε = ε o sin( ω t φ E * σ σ o e iωt = -- = ε φ o e i( ωt φ E * σ o = ε o (2 (3 (4, qp yw w p w xk wš, š p sƒ w w. Pellinen(2001 w sigmoidal function w lš w, w d k x w w.» š, MS 1. w x 2. lš yw 52 w wz «y

3 EXCELL Solver function w q l w. log( E * log( t r» a = δ exp β γ log( t r + = log( t c{ log( η log( η Tr } = w k log( E * δ = minimum modulus ( a = range of possible value β & γ = shape parameter η, η Tr = qp 3. qp yp (9 (10 qp s œ p w wùƒ qp w(rheology p. qp w p j yw p ƒ š. p, qp yw,, x, z œ» y yx qp s œ p w., qp yx g l s œ œ»» w x. qp w y qp yw š yw r w. yw qp 150 o C, qp { y w qp w (w wz, qp y y, qp yw, s x, s, m z œ» mw z w œ y 2-3 z ¾.» ù, y j w yp y w» w. œ» w qp yw y y, {, w (polymerization, (thixotropy, (syneresis, w w. y qpƒ w, y qp p w. { qp { w, w ù s» y j w. w j x w» w ö ww x y k.» qpü ƒ x w y. ƒ qp t ù. qp w. qp l ù ql œ k. qp yp e y w sƒw. qp yp ü x xw x w.,» y xw» w zƒ (Rolling Thin Film Oven, RTFO x» y xw» w y(pressure Aging Vessel, PAV. zƒ x» AASHTO T 240 ASTM D 2872, y x ASTM D 454 D 572. y x mw r 5 10 x œ qp s y w š š. 4. qp yw y x 4.1 w vp qp yw y w š w w j ƒ ƒ. ƒ qp yw œ w š s ¾ y» y ƒ. ƒ m š w qp yw yw» y ƒ. x œ» y» y w xwš w. k x 5, 21, 40 o C ƒ 0.1, 0.5, 1, 5, 10, 25 Hz ƒ q xw. x qp yw ü r 7ƒ w. rr w w t 1 w m qp w ƒƒ w. q p w w 4% œ qpyw wš, yw 135 o C 4» y z z» w w. 150 mm yw 100 mmƒ g wš, 150 mmƒ w, x r ƒ 1:1.5ƒ w. 4.2» y x k sƒ» y z» w y j š yw z r, š 135 o C 160 o C ƒƒ 2, 4, 6» y jš k x ww.» y ƒ k x t 2 w. ƒ wš, w q ƒ f š,» y x ƒ k ƒ f w š. lš 3 yw r 160 o C 2, 4, 6» yw r w. 5 yw r 135 o C 2, 4, 6» yw r lš w. 3 4 l š q qp yp š w k sƒ 53

4 t 1. y x w A1 B1 C1 D1 E1 F1 G ˆ13F 13F j»(mm qp yw vp G mm G sb Va(% OAC(% qp PG58-22 PG58-22 PG58-22 PG58-22 PG58-22 PG58-22 PG58-22 A2 F2 G2 H1 H2 I SMA13 SMA13 SBS13 j»(mm qp yw vp G mm G sb Va(% OAC(% qp PG PG PG PG PG PG ƒ ù š 135 o C 160 o C» y w r k ƒw. p 160 o C» y w r y w y y w. 135 o C» yw r q š q ƒ y ƒ f. m œ w, x wš»¾ š w» y 135 o C 4 w q, œ š ƒ w w. 4.3» y x k sƒ w z 4% w œ ƒ ƒ r 5 k x w. k x q x x ƒ w.» y ³ w y z» w r 24. k 54 w wz «y

5 o C q Hz t 2.» y k ( : MPa» y 135 o C 160 o C » y lš » y lš x w» r y w x ( 20 C 12 ew z x o w.» y x w w» qp w» y yw. 5.» y x 6 ùkù yƒ w k ƒ. j qp z z ƒ ƒw. t 3 ù kù, AP-3 qp w yw qp yp š w k sƒ 55

6 6. 13 mm + AP-5 yw k t mm qp yw k yw 13 mm qp AP-3 AP-5 AP-3 AP-5 AP-3 AP-5 q y k ƒ AP-5 qp w qp yw k w j ùkû. 7 ùkù, œe e ƒ f, d k f w ùküš. SBS š» š š, SMA w f y ƒ ùkû. w, qp y w z œ e e y k yƒ j w ùk üš. qp yw k j» œe e w ƒ w. t 4 x qp yw 8 z d w k š. qp yw k j sƒ š,, SMA SBS qp yw k ƒ sƒ. 4.4 k d x w qp yw k d w w. w w Witczak ƒ ƒ yw š. Witczak 200 qp yw x w 2800 data-set w w», qp, w k dw w. loge = p ( p p V beff V a V beff + V a p p ( p p e ( log f log η +» 7. j» k E = k (psi η = qp ( 10 6 poise f = w q (Hz V a = qp yw œ (% V beff = qp zw (% P 34 = 19 mm (% P 38 = 9.5 mm (% P 4 = 4.75 mm (% P 200 = No. 200 m (% k x w š r» x r k sƒ w w» w,» Witczak d» w, x w k d ù y w. 8 Witczak d ƒ xw w sƒ 56 w wz «y

7 yw q 13 mm t 4. 8 y k qp yw (AP-3 k 19 mm 25 mm 13 mm 13 mm 13F ˆ13F SMA 13 mm SBS. ü xk w ³ qp ³».» d w w 9 š, ƒ d x e k. E * * = E predict yw k dw» w Witczak d š w. Witczak x w 10. w w Witczak y ƒ w. x d ƒ ùkû. w w, ü t qp yw w k d w y w». loge = p p 200 ( 2 8. Witczak d x V beff p V a V beff + V a p p ( p p log f 1 + e ( logη w w Witczak d x qp yw y t wù k y p sƒw» w ü KS ³ qp yw w y x k d w. ww qp y qp yp š w k sƒ 57

8 10. Witczak x w w w. (1» y 160 o C w» š 135 o C w z w. 160 o C y ƒ w e w., 135 o C» yw r q š q ƒ y ƒ f. m œ w, x wš»¾ š w» y 135 o C 4 w q, œ š ƒ w 135 o C 2 w. (2» y x œ qp y xw. yƒ w k ƒ. j qp z z ƒ ƒw. SBS š» š š, SMA w f y ƒ ùkû. p w ˆ k ƒ y w. (3 Witczak d xw w sƒ. ü xk w ³ qp ³». x w UTM» x d d wù ew yw e w. mw» Witczak d w w w Witczak d. ƒ ùkü. (4 y x x w. x w x œ» g w k d w w, x x xw. k d w x ƒ š ƒ š x ƒ ¾ š, x d w. q x q w k w d w r wš Ÿ w y. w ww ( y D00511, 2006 w š,. š x m (2002 w x s s. KPRP- -02, pp ½x, y (2005 w qp yw k sƒ. w wz, w wz, 7«, 1y, pp w wz (1998 qp s œw. w wz, pp. 35. Pellinen, T.K. (2001 Invesitgation of the Use of Dynamic Modulus as an Indicator of Hot-Mix Asphalt Performance, Ph.D. dissertation, Arizona State University. Pellinen, T.K., Witczak, M.W., and Bonaquist, R.F. (2002 Asphalt Mix Master Curve Construction Using Sigmoidal Fitting Function with Non-Linear Least Squares Optimazation. 15th ASCE Engineering Mechanics Conference, ASCE. ú : ú : ú : w wz «y

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