DECOMPOSITION

1. DECOMPOSITION • Take the interface between the cap layer and SAC as a cohesive interface, with its property defined by a traction-separation relationship. • Combine SAC decomposition and mechanical deformation of both the cap and SAC layers. • δ0: decomposition induced separation, e.g., δ0 = [1-C(t)]hSAC • wcap: displacement of the cap • wSAC: displacement of the SAC • p: interaction force between the cap and SAC p pc Gc 0 δ δc

2. DECOMPOSITION • Beam Theory for Cap w p(x) p(x) • Winkler Model for SAC C(t)hSAC • Boundary Condition (at x=0, L)

3. DECOMPOSITION • Lennard Jones Interaction • Material Property & Initial Condition Ecap= 9500 Mpa / ESAC= 6000 Mpa L=1000 nm, hCap = 200 nm , hSAC = 200 nm ro= 10nm

4. DECOMPOSITION

5. DECOMPOSITION

6. DECOMPOSITION 2 • Beam Theory for Cap & Winkler Model for SAC • Separating Displacement (since wcap=0 at x=0, L)

7. DECOMPOSITION 2

8. DECOMPOSITION 2

9. DECOMPOSITION 2