The development of a model builder for a microcircuit substrate

110 Pages·1.5 MB·en_US

by  Roesch, Patric Karl.;Kraus, Allan D.

NAVAL POSTGRADUATE SCHOOL
Monterey, California
THESIS
THE DEVELOPMENT OF A MODEL
BUILDER FOR A MICROCIRCUIT
SUBSTRATE
by
Patric Karl Roesch
June 1991
Thesis Advisor: A.D. Kraus
Approved for public release; distribution unlimited.
T256342

Unclassified
Security Classification of this page
REPORT DOCUMENTATION PAGE
la Report Security Classification lb Restrictive Markings
Unclassified
2a Security Classification Authority 3 Distribution Availability of Report
2b Declassification/Downgrading Schedule Approved for public release; distribution is unlimited.
4 Performing Organization Report Number(s) 5 Monitoring Organization Report Number(s)
6a Name of Performing Organization 6b Office Symbol 7a Name of Monitoring Organization
Naval Postgraduate School (IfApplicable) 32 Naval Postgraduate School
6c Address (city, state, and ZIP code) 7b Address (city, state, and ZIP code)
Monterey, CA 93943-5000 Monterey, CA 93943-5000
5a Name of Funding/Sponsoring Organization 8b Office Symbol 9 Procurement Instrument Identification Number
(7/Applicable)
8c Address (city, state, and ZIP code) 1 Source of Funding Numbers
Program Element Number Project No Task No Work Unit Accession No
THE DEVELOPMENT OF A MODEL BUILDER FOR A MICROCIRCUIT
li Title(includeSecurityClassification)
SUBSTRATE
12 Personal Author(s) Patric K. Roesch
13a Type of Report 13b Time Covered 14 Date of Report (year, month,day) 15 Page Count
Master's Thesis From 1991 May 7 101
,
16 SupplementaryNotation The views expressed in this thesis are those of the author and do not reflect the official
policy orposition ofthe Department ofDefense or the U.S. Government.
17 Cosati Codes 18 Subject Terms (continue on reverse ifnecessary and identify by block number)
Field Group Subgroup Model Builder; Development; Microcircuit; Substrate
19 Abstract (continue on reverse ifnecessary and identify by block number
The Naval Postgraduate School is currently in possession ofsoftware designed to perform a thermal
analysis ofelectronic components. This software package incorporates a model builder whose primary function
is to generate a thermal model. In its present configuration, the model builderrequires an inordinate amount of
time for data input and model verification. This thesis describes the development ofa model builderdesigned
specifically to reduce the time required to model the substrate, epoxy, and carrierlayers ofa microcircuit
assembly.
20 Distribution/Availability of Abstract 21 Abstract Security Classification
X| unclassified/unlimited same as report DTICusers Unclassified
| J
22a Name of Responsible Individual 22b Telephone (Include Area code) 22c Office Symbol
Allan D. Kraus [phone] EC/KS
DD FORM 1473, 84 MAR 83 APR edition may be used until exhausted security classification of this page
Unclassified
All other editions are obsolete
Approved for public release; distribution is unlimited.
The Development of a Model Builder for a
Microcircuit Substrate
by
Patric K. Roesch
Lieutenant, United States Navy
B.S., University of Florida, 1982
Submitted in partial fulfillment of the
requirements for the degree of
MASTER OF SCIENCE IN ELECTRICAL ENGINEERING
from the
NAVAL POSTGRADUATE SCHOOL
June 1991
Michael A. Morgan, Chairman, Department of Electrical and
Computer Engineering
ABSTRACT
The Naval Postgraduate School is currently in possession
of software designed to perform a thermal analysis of
electronic components. This software package incorporates a
model builder which contains two programs whose primary
function is to generate a thermal model. In its present
configuration, the model builder reguires an inordinate amount
of time for data input and model verification. This thesis
describes the development of a model builder designed
specifically to reduce the time reguired to model the
substrate, epoxy and carrier layers of a microcircuit assembly.
111
. . ...
TABLE OF CONTENTS
INTRODUCTION
I 1
.
II THE REASON FOR THERMAL ANALYSIS 5
A. RELIABILITY 6
B MATERIAL SELECTION 9
C. BIAS STABILIZATION 11
1. Operating in the Forward Bias Region 13
D. CATASTROPHIC THERMAL FAILURE 14
III HEAT TRANSFER 17
A CONDUCTION 17
1. General Equation of Heat Conduction 18
2 Simple Plane Slab 20
.
3 Electrothermal Analog 22
.
B CONVECTION 23
1 Electrothermal Analog 25
.
C. RADIATION 27
1. Transformation of the General Radiation
Equation 29
2. General Problems of Heat Transfer by
Radiation 32
IV. FINITE DIFFERENCES 33
A FUNDAMENTAL CONCEPTS 33
.
1. First Derivative Approximation 34
2 Second Derivative Approximation 36
.
iv