Tier 1 : CMOS SoC
TSV
Very thin wafer
Interface u-Bump
Backside metal
Interface to u-Bump
TSV/u-Bump offset
U-Bump
Very thin underfill
Tier 2 : Memory/Analog
Regular die
Frontside metal
Package Bump
Regular flip chip bump
Regular underfill
Package
Regular substrate
Regular plastic potting
Tier 1 Die
~ 10’s um
TSV
Size ~ 1’s um
Pitch ~ 10’s um
Tier 1 FEOL
~ 1’s um
Back Metal
Width ~ 1’s um
Pitch ~ 10’s um
u-Bump
Size ~ 10’s um
Pitch ~ 10’s um
Underfill
~ low 10’s um
Tier 2 Die
~ 100’s um
Tier 2 FEOL
~ 1’s um
Package Bump
Size ~ 100’s um
Pitch ~ 100’s um
Package Substrate
~ 100’s um
Underfill
~ hi 10’s um
~mm
Fig. 1 Schematic of the 3D TSV chip stacking architecture.
Simulation Methodology and Flow Integration
for 3D IC Stress Management
Mark Nakamoto
1
, Riko Radojcic
1
, Wei Zhao
1
,
Vinay K. Dasarapu
2
, Aditya P. Karmarkar
2
and Xiaopeng Xu
3
1
Qualcomm, Inc., San Diego, CA, USA
2
Synopsys (India) Private Limited, Hyderabad, Andhra Pradesh, India
3
Synopsys, Inc., Mountain View, CA, USA
Abstract—a new methodology to bridge package and silicon
domain simulations is demonstrated using a new data file to
facilitate stress information exchange. The flow integration uses
equivalent stress conditions to replace sensitive process
information and parameterized modules to minimize user
interventions for 3D IC stress simulations.
Keywords— Through-silicon via (TSV), mechanical stress,
layout proximity, performance variation, reliability, modeling
I. INTRODUCTION
Three dimensional (3D) integration technologies use
through silicon vias (TSVs) to link silicon dies that are
encapsulated in a package, as shown in Fig. 1. New processes
for 3D IC integration introduce mechanical stresses not only
in silicon active regions but also in interconnect and package
structures[1][2]. Mechanical Stress modulates the transistor
performance and also compromises the structural integrity and
reliability. These concerns are not addressed in the existing
modeling methodologies and design flows. Currently
mechanical stress is managed independently in the silicon and
package domains. The lack of a methodology that bridges
silicon and package domains imposes a severe constraint for
3D IC stress management. For silicon domain stress analysis,
designers face additional modeling constraints, since
conventional TCAD simulation requires detailed process
information not accessible to fab-less companies. Apart from
these constraints, the complex 3D multi-disciplinary nature of
the problem requires robust and easy to use simulation
methodology. In this paper, innovative techniques are
employed to overcome these constraints and a modeling
framework is developed for 3D TSV stress analysis with
parameterized geometry and mesh generation modules.
II. BRIDGING PACKAGING AND SILICON
Traditionally mechanical stress modeling for packaging and
silicon has been performed as two distinct functions, and often
by different organizations. Package modeling is typically
focused on reliability issues such as solder ball fatigue, die
cracking and more recently de-lamination or cracking of ultra
low- dielectric layers on the die. On the other hand, silicon
mechanical simulation is most often focused on performance
enhancement or degradation at the single transistor level.
Strained silicon methods have played a major role in recent
generations of CMOS technology.
The advent of 3D integration has significantly increased the
level of interaction between the silicon and the packaging
domains. Existing features and factors such as soft low-
dielectrics, strained silicon and CTE mismatch with packaging
material will now interact with new 3D features and processes.
Dies thinned to 10s of m will be much more susceptible to
bending or warpage due to the normal BEOL film stack and
packaging stresses. These will also interact with new features
such as TSVs, -bumps and other dies in the 3D stack [4].
One example is a -bump connection between two dies that
would normally be simulated in the package modeling realm
as shown in Fig. 2 (a); where the force is usually not high
enough to cause reliability concerns. However, when the
mechanical stress from this “packaging” effect is transferred
to the silicon simulation domain, the impact of stress on the
silicon performance is evident from the mobility change
shown in Fig. 2 (b).
Accordingly, there is an increasing demand for accurately
modeling stress induced transistor performance deviation at
the silicon die level, while accounting for both global and
local stress sources and their interactions. This requires a
hierarchy of sub-modeling from global packaging level to
local silicon level. However, the nature of packaging level
modeling can be different from that of silicon level modeling.
For example, the packaging level modeling often involves
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