# Spring 2008

## EM 388F Lecture Notes 9: Nonlinear Fracture Mechanics II

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## EM 388F Lecture Notes 8: Nonlinear Fracture Mechanics I

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## EM 388F Lecture Notes: Mixed Mode and Interfacial Fracture

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## EM 388F Homework Problems 29-30

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## EM 388F Homework Problems 24-28

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## EM388F Term Paper: Finite Element MEthod in Fracture Mechanics

Early applications of the finite element method to crack problem was
developed by Swedlow and et al. Even though they could get reasonable
accuracy about 5 to 10%, later study showed that solutions in the
vicinity of the crack tip cannot be guranteed to be accurate regardless
of the mesh density around tip. In order to overcome this problem,
people developed special crack tip elements.

In this term paper, I'm going to present 1) Finite Element Method in
Fracture Mechanics and 2) NewFinite Element technique so called Extended Element Method.

## EM388F Term Paper: Fracture of Orthotropic Materials under Mixed Mode Loading

The objective of this paper is to analyze the fracture of orthotropic materials, with emphasis on wood.

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## EM 388F Term Paper: Theory and analysis tech for the use of a DCB specimen for determining the toughness of PC-3 Prostate Cancer

A double cantilever beam (DCB)
specimen is created by affixing the two halves together using a bi-layer of
PC-3 prostate cancer cells. The specimen is pinned at a bottom corner, and the
upper corner on the same end is displaced with the force-displacement profile
being recorded. This upper corner is displaced until the crack, a portion of
the specimen where cell grown has been selectively inhibited, propagates
through the cell layer. The critical value of force at which the crack
propagates through the cell layer is used, in conjunction with the initial
crack length, to determine the toughness via the compliance-energy method (Ripling, et al. 1971). A method for performing a FE analysis of the

## EM 388F Term Paper

Assignment: Each student completes a term paper of selected topics that (a) addresses a fracture phenomenon in materials or structures, and (b) involves analyses using fracture mechanics. The project contributes 25% of the final grade, distributed as follows:

## EM 388F Lecture Notes 6: Applications of LEFM

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## EM 388F Homework Problems 19-23

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## EM 388F Homework Problems 9-18

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## EM 388F Lecture Notes 5: Fracture Toughness

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## EM 388F Lecture Notes 4: Energy Release Rate

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## EM 388F Homework Problems 5-8

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## EM 388F Lecture Notes 3: Stress Intensity Factors

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## EM 388F Lecture Notes 1-2: Introduction and Elements of Linear Elasticity

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