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Anonymous Poster

continuum mechanics

01/05/2008 7:08 PM

I have the oppurtunity to take a class called continuum mechanics. Has anyone here taken the subject?, did you find it interesting and most importantly useful in your work?

It sounds pretty fun, but I don't know if it is that useful for later. So could you be so kind as to tell me how it has helped you?, or if it was a waste?

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#1

Re: continuum mechanics

01/06/2008 10:50 PM

do you perhaps mean 'quantum' mechanics? If not, it sounds like fun, much more so than the start/stop mechanics.

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#2

Re: continuum mechanics

01/06/2008 11:07 PM

You probably mean quantum mechanics which is the study of the relationship between energy and matter. I find it to be a very interesting subject. It would be extremely useful if you were to be involved with producing new electronic parts, for instance. I haven't heard of continuum mechanics, but if that is correct, it sounds very interesting as well, so go for it!

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#3

Re: continuum mechanics

01/06/2008 11:41 PM

From Wkipedia http://en.wikipedia.org/wiki/Continuum_mechanics :

Continuum mechanics is a branch of physics (specifically mechanics) that deals with the analysis of the kinematic and mechanical behavior of materials modeled as a continuum, e.g., solids and fluids (i.e., liquids and gases). A continuum is a body that can be continually sub-divided into infinitesimal small elements with properties being those of the bulk material.

The continuum concept ignores the fact that matter is made of atoms, is not continuous, and that it commonly has some sort of heterogeneous microstructure. It assumes that the substance of the body is distributed uniformly throughout, and completely fills the space it occupies, allowing the approximation of physical quantities, such as energy and momentum, at the infinitesimal limit. Differential equations can thus be employed in solving problems in continuum mechanics. Some of these differential equations are specific to the materials being investigated and are called constitutive equations, while others capture fundamental physical laws, such as conservation of mass or conservation of momentum and energy.

Continuum mechanics deals with physical quantities, of solids and fluids, which are independent of any particular coordinate system in which they are observed. These physical quantities are then represented by tensors, which are mathematical objects that are independent of coordinate system. These tensors can be expressed in coordinate systems for computational convenience.

TO ANSWER your question about the utility, this course would lead you into a new viewpoint that can be useful in the analysis of a variety of mechanical problems. In addition it will introduce you to a variety of mathematical techniques that are useful in coordinate-free analysis.

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#4
In reply to #3

Re: continuum mechanics

01/07/2008 4:17 AM

Very good, very clear, very practical.

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#11
In reply to #3

Re: continuum mechanics

01/27/2008 2:54 AM

Could anyone tell me about constitutive equations from continuum mechanics that give you deformation versus load for viscoelastic materials_

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#5

Re: continuum mechanics

01/07/2008 4:40 AM

For instance, I find continuum mechanics very useful to understand the mechanics of elastic contacts, how materials deform and up to which extent when they are pressed against each other. Continuum theories have demonstrated to be valid even for nanocontacts, formed by only a few atoms.

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#6

Re: continuum mechanics

01/07/2008 1:20 PM

"It sounds pretty fun, but I don't know if it is that useful for later."

I think you probably have all the answer you need already, but I would like to add this: if it sounds like fun (and you have room in your schedule for an elective) then it really doesn't matter if it'll be useful later, it'll be a relief NOW. One of the things we tend to de-emphasize to our detriment is the need for things in our schedules that are FUN.

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#7

Re: continuum mechanics

01/07/2008 5:29 PM

I found tensors and elasticity to be beastly and painful. Your mileage may vary.

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#8
In reply to #7

Re: continuum mechanics

01/08/2008 8:47 AM

"I found tensors and elasticity to be beastly and painful."

While in high school, I played a bit of football. Defense was pretty easy, Fight Pressure. If someone didn't want you to be someplace, then it is pretty likely that it was a place where you wanted to be. Same in Chess. Put yourself in a good position and that is likely to turn out to your advantage.

These lessons came back as I studied Mathematics and Physics - if something was initially "beastly and painful", I attacked it like a tiger, and it usually turned out to be very useful in my ensuing studies. Powerful and uniquely useful tools are rarely easy to learn, not out of some sense of perversity, but simply because everyone knows the easy stuff! Your advantage is in mastering the difficult but useful techniques.

Socrates defined satisfaction as undertaking a difficult task and accomplishing it. Fun is in the eye of the beholder. Mastering the techniques of Continuum Mechanics may not be exactly fun along the way, but will certainly be satisfying and useful.

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#9
In reply to #8

Re: continuum mechanics

01/08/2008 9:53 AM

As JFK said of (several items on his agenda, including) going to the Moon - "We do not do these things because they are easy; but because they are hard." The things that come to us easily we appreciate in that measure. The things we must bite, claw, scratch, and scrape for, we appreciate in a much fuller measure.

And yes, fun is what we make it to be. As my Granddad always said: "Make sure you have all the fun you can, because there may not be much of it, therefore you would not want to miss any."

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#10

Re: continuum mechanics

01/08/2008 10:39 AM

Hi Guest,

In my day continuum mechanics was split into 'Solid mechanics' and 'Fluid mechanics'

As other posters have noted, there is a fair amount of maths involved (which I hated), but the insight and understanding of the world around you that you will gain from such courses will be invaluable. Definitely you should take the course!

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