Reverse Engineering Derivations - How?

In summary, the conversation is about a student struggling to reverse engineer a derivation in a paper for a graduate level Fracture Mechanics course. They are overwhelmed by the amount of terms and unsure of where to begin. The paper involves equations and substitutions, with the goal of isolating the variable r. The student is seeking help in understanding how the author arrived at the simplified equation and the coefficients involved.
  • #1
lanew
13
0

Homework Statement


I have to reverse engineer a derivation in a paper and have no idea where to even start. The amount of terms are overwhelming and I can't imagine how the author even began.

Homework Equations


The following equations are known:
http://img7.imagebanana.com/img/jpfqw5qj/Selection_001.png

http://img7.imagebanana.com/img/v4cx2e07/Selection_009.png

http://img6.imagebanana.com/img/ape27n0j/Selection_002.png

Substituting them into the following equation gives an expression where [itex]r[/itex] needs to be isolated.

http://img6.imagebanana.com/img/gayq1jb5/Selection_008.png

The author makes many substitutions and results in the following simplified equation.

http://img6.imagebanana.com/img/5gmnl628/Selection_007.png

The substitutions are as follows:

http://img6.imagebanana.com/img/36qfovp8/Selection_004.png

http://img6.imagebanana.com/img/iinwallf/Selection_005.png

http://img7.imagebanana.com/img/japtx4e8/Selection_006.png

What I'm trying to do is figure out how he arrived at these coefficients [a], , [c], V, etc.

The Attempt at a Solution


I've substituted (1)--(5) into (6) but don't know where to go from here. The equation is huge and has many terms. I'm not sure how/where to begin.

Any help will be much appreciated. Thanks.
 
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  • #2
Out of interest, for what course is this?
 
  • #3
This is for a graduate level Fracture Mechanics course.

The title of the paper is: The effect of T -stress on crack-tip plastic zones under mixed-mode
loading conditions.
 

FAQ: Reverse Engineering Derivations - How?

1. What is reverse engineering and why is it important?

Reverse engineering is the process of analyzing a product or system in order to understand how it works and how it was created. It is important because it allows us to gain insights into complex systems and create new or improved versions of existing products.

2. What are the steps involved in reverse engineering?

The steps involved in reverse engineering typically include planning and research, disassembly, analysis, and reconstruction. The process may also involve testing and validation to ensure the accuracy of the reverse engineered design.

3. What are the tools and techniques used in reverse engineering?

There are a variety of tools and techniques used in reverse engineering, including computer-aided design (CAD) software, 3D scanning technology, and computer-aided manufacturing (CAM) software. Other techniques may include manual measurements, X-ray imaging, and computer simulations.

4. What are the potential legal and ethical issues associated with reverse engineering?

Reverse engineering may raise legal and ethical concerns, especially if it involves the use of patented or copyrighted materials without permission. It is important to consider these issues and obtain proper permissions before engaging in reverse engineering activities.

5. How is reverse engineering used in different industries?

Reverse engineering is used in a variety of industries, including automotive, aerospace, electronics, and software development. It can be used to improve existing products, create new products, or understand competitor's products. Additionally, reverse engineering is often used in forensic investigations to analyze and recreate accidents or crimes.

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