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Massachusetts Institute of Technology

Stress and deformation of thin films and patterned lines on substrates

Abstract

dc:description.abstract

The thermomechanical response of thin films/lines on thicker substrates under internal loadings resulting from material mismatch is examined. As the well-known Stoney formula is limited to isotropic, blanket films that undergo only small deformations, proper interpretation of curvature-stress relationships for new film geometries and for new experimental testing techniques requires an extension of this analytical framework. Mismatch stresses in thin films/lines and consequent curvature evolution of the film/line-substrate system are investigated in realistic, complex geometries relevant to industrial trends, such as high line aspect ratio, multi-level structure, and large diameter wafers. A combined analytical and numerical method is presented to evaluate curvature and stress evolution in metal and dielectric lines in an interconnect structure on a Si substrate during fabrication steps and subsequent thermal loading. An engineering map based on a closed-form solution for volume-averaged thermal stresses in lines is developed for material selection and design optimization. Coherent gradient sensing (CGS), an optical, full-field and vibration-insensitive experimental method, is used to study large deformation behavior of thin film-substrate systems by measuring the gradient of out-of-plane displacement of deformed surfaces. Experimental results are discussed in terms of the limitation of the small deformation theory upon which the Stoney formula is predicated. In particular, this work seeks to incorporate anisotropy and non-linearity arising from geometrical changes such as directional patterning and large deformation in the range of isotropic and linear-elastic material behavior.

Degree

thesis:*
Department dc:contributor.department
Massachusetts Institute of Technology. Dept. of Materials Science and Engineering.
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2002

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Park, Tae-Soon, 1972-
Advisor dc:contributor.advisor
  • Subra Suresh.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/1721.1/8445
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/8445

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Park, Tae-Soon, 1972-. Stress and deformation of thin films and patterned lines on substrates. Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/8445