Page 407 - Mechanics of Asphalt Microstructure and Micromechanics

Characterization and Modeling Anisotropic Proper ties of Asphalt Concrete 399

Effective Stress Distribution

E v =5E h E v =E h

Direct Stress in Y Direction
E v =5E h E v =E h

Vertical Displacement
E v =5E h E v =E h
FIGURE 12.4 Typical stress and vertical displacement distribution for the case of fi xed Z
(set 2 conditions).

+∞ +∞
u(, , )x y z = ∫ ∫ [U L (z L ) (, )x y + U M ( ) M(, )x y + U N ( ) N(,x yyd d)] αβ (12-5)
z
z
−∞ −∞
t(, , )xyz ≡σ e +σ e +σ e
xz x yz y zz z
+∞ +∞ (12-6)
= ∫ ∫ [(Tz L ) ( , )x y + T M (z)M ( x y) + T z) ( x y d dαβ
N
(
,
]
z
,
)
L
N
−∞ −∞