A structural component is fabricated from an alloy that has a plane-strain fracture toughness of 62 MPa√m. It has been determined that this component fails at a stress of 250 MPa when the maximum length of an internal crack is 1.6 mm. What is the maximum allowable internal crack length (in mm) without fracture for this same component exposed to a stress of 250 MPa and made from another alloy that has a plane strain fracture toughness of 40 MPa√m?

Answers

Answer 1

Answer:

0.67 mm

Explanation:

Solution:

We find the dimensionless parameters by applying the critical stress crack propagation formula stated below:

σс= Klc/Y√πa

Y = Klc/σс √πa

σс = this is the critical stress needed for initial cracking propagation

Klc = the plain stress fracture toughness

a = surface length of the crack

Y = the dimensionless parameter

Now, we substitute the values  62MPa√m for Klc, 250 MPa for σс and  1.6 * 10 ^⁻3 for a in the dimensionless parameter equation.

Thus,

Y = Klc/σс √πa

= 62/250(√π * 1.6* 10 ^⁻3)

= 3.492

The next step is to find the maximum permitted surface crack length by applying the  critical stress crack propagation equation given below:

σс= Klc/Y√πa

a= 1/π (Klc/Yσс)²

Now, substitute 40 MPa√m for Klc, 250 MPa for σс and 3.492 for surface length crack  equation

So,

a= 1/π (Klc/Yσс)²

= 1/π[40/3.492 * 250]²

=1/π[40/873]²

=1/π[0.0458]²

0.318[0.0458]²

=0.318[0.00209]

= 0.0066

0.67* 10 ^⁻3 m

= 0.67 mm

Therefore the maximum surface crack length produced is 0.67 mm


Related Questions

Kirby is conducting a literature review in preparation for his study of “expectations regarding the sharing of financial and practical responsibilities among married and cohabiting couples in which both partners are between the ages of 20 and 29.” Conducting a keyword search on “couples” and “responsibility,” Kirby has generated a lengthy list of research articles. He decides to shorten the list of potential articles by eliminating all articles that were not published in prestigious research journals. He will include all the remaining articles in his literature review. What is your opinion of Kirby’s approach to selecting articles for the literature review?

Answers

Answer:

My opinion towards Kirby's approach in choosing articles for literature reviews is that, it is not the considered a good approach because when choosing articles based only on Journal it can't be considered the best.

Various methods needs to be considered by Kirby's before selecting articles, which are stated in the explanation section below

Explanation:

Solution:

Kirby’s method in choosing articles is not regarded to be a better proposal because choosing articles  with regards to the journal can’t be seen as good. There are other things that should to be taken into consideration by Kirby which is explained below:

It is also important to confirm the editors who are in charge of the journals. It is advisable to view the profile of the editors in various links such as LinkedIn, Google scholar, before choosing their articles.It is very important to stay away from people who might find a way to exploit this situation. some research articles may be produced just for the aim of making money & there might exist no good quality information that is needed by the researcher for conducting his research.A proper journal is the one that produces work on the journal that the paper addresses & it is the one that presents the researcher’s needs through its authenticity  and aspirations.Some particular journals are regarded to offer good source of information for research. examples are Thomson Reuters website etc.The various information produced aside from quality, is also important to consider when choosing the source of information that the article presents.

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