# механика сплошной среды

## English translation: continuum mechanics

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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
 Russian term or phrase: механика сплошной среды English translation: continuum mechanics

 18:25 Jul 29, 2001
Russian to English translations [PRO]
Tech/Engineering - Mathematics & Statistics
 Russian term or phrase: механика сплошной среды mathematics - I have a translation of this term as "mechanics of continuum", but I have no idea what this might mean! I'm sure there must be a standard translation of this term.
 continuum mechanics Explanation:Matter is formed of molecules which in turn consist of atoms and subatomic particles. Thus matter is not continuous. However, there are many aspects of everyday experience regarding the behavior of materials, such as the amount of lengthening of a steel bar under the action of given forces, the rate of discharge of water in a pipe under a given pressure difference or the drag force experienced by a body moving in air etc., which can be described and predicted with theories that pay no attention to the molecular structure of materials. The theory which describes relationships between gross phenomena, neglecting the structure of materials on a smaller scale, is known as the continuum theory. The continuum theory regards matter as indefinitely divisible. Thus, within the theory, one accepts the idea of an infinitesimal volume of material referred to as a particle in the continuum, and in every neighborhood of a particle there are always infinitely many particles present. Whether the continuum theory is justified or not depends upon the given situation. For example, the molecular dimension of water is about ; hence, if we are concerned about the liquid water in a problem in which we never have to consider dimensions less than say cm, we are safe to treat water as a continuum. The mean free path of the molecules of air on the surface of the earth at room temperature is about cm; hence, if we consider the flow of air about an airplane, we may treat air as a continuum. The diameter of a red blood cell in our body is about cm; hence, we can treat our blood as a continuum if we consider the flow in arteries of diameter say 0.5 mm. Thus the concept of a material continuum as a mathematical idealization of the real world is applicable to problems in which the fine structure of the matter can be ignored. When the consideration of fine structure is important, we should use principles of particle physics, statistical mechanics, or a theory of micropolar continuum.
Selected response from:

Local time: 06:59
 Great explanation, and certainly clarifies things. Thanks very much!4 KudoZ points were awarded for this answer

na +1continuum mechanics
nacontinuum mechanicsjanasru
nacontinuum mechanicsmichnick
naMechanics of Continous Media
 Davorka Grgic

41 mins peer agreement (net): +1
continuum mechanics

Explanation:
Matter is formed of molecules which in turn consist of atoms and subatomic particles. Thus matter is not continuous. However, there are many aspects of everyday experience regarding the behavior of materials, such as the amount of lengthening of a steel bar under the action of given forces, the rate of discharge of water in a pipe under a given pressure difference or the drag force experienced by a body moving in air etc., which can be described and predicted with theories that pay no attention to the molecular structure of materials. The theory which describes relationships between gross phenomena, neglecting the structure of materials on a smaller scale, is known as the continuum theory. The continuum theory regards matter as indefinitely divisible. Thus, within the theory, one accepts the idea of an infinitesimal volume of material referred to as a particle in the continuum, and in every neighborhood of a particle there are always infinitely many particles present. Whether the continuum theory is justified or not depends upon the given situation. For example, the molecular dimension of water is about ; hence, if we are concerned about the liquid water in a problem in which we never have to consider dimensions less than say cm, we are safe to treat water as a continuum. The mean free path of the molecules of air on the surface of the earth at room temperature is about cm; hence, if we consider the flow of air about an airplane, we may treat air as a continuum. The diameter of a red blood cell in our body is about cm; hence, we can treat our blood as a continuum if we consider the flow in arteries of diameter say 0.5 mm.

Thus the concept of a material continuum as a mathematical idealization of the real world is applicable to problems in which the fine structure of the matter can be ignored. When the consideration of fine structure is important, we should use principles of particle physics, statistical mechanics, or a theory of micropolar continuum.

Reference: http://www.jwave.vt.edu/crcd/batra/lectures/esmmse5984/node3...
Reference: http://www.amm.mw.tu-muenchen.de/Research/Old/Bericht_e_95/n...
 Marcus MalabadCanadaLocal time: 06:59Native speaker of: English, TagalogPRO pts in category: 16
 Great explanation, and certainly clarifies things. Thanks very much!

agree  michnick: see my response
 11 hrs

7 hrs
Mechanics of Continous Media

Explanation:
сплошной среды = continous media

It is a part of (classical) theoretical mechanics that disregards discontinuity of matter as explained in my colleagueґs reference above.

I have a couple of books called механика сплошной среды (Russian authors) in my bookcase.

Relevant references (US and UK sites):

University of Kansas Civil and Environmental Engineering - ...
... CE 913 Advanced Fracture Mechanics (3). The mechanics of continous media. A unified
treatment of the fundamental principles and theories governing applications ...
cee.ku.edu/web/divisions/structural.html
Complete index of all papers for 1999/2000
... P705); Interstellar Physics (P706/P507); Physics of Continous Media (P707); Advanced
Quantum Mechanics (P710/P510); Atmospheric Physics (P711a/P511a); Meteorology ...
www.phy.umist.ac.uk/Teaching/PastExams/2000index.shtml

UML Undergraduate Physics and Applied Physics Program
... 95.513. I(3,0)3 95.612 Mechanics of Continous Media. Continuum
mechanics: vibrations of strings; introduction ...

HTH

I am a nuclear physics engineer.
 Davorka GrgicLocal time: 06:59Works in fieldNative speaker of: Croatian, Spanish

12 hrs
mechanics of continous (fluid) media

Explanation:
Try this!.

If nothign better comes along...
 DrSantosLocal time: 06:59Native speaker of: Portuguese

12 hrs
continuum mechanics

Explanation:
Google gives more than 65,700 pages with "continuum mechanics" and only 414 ones with "Mechanics of Continous Media".
I have on my bookshelves e.g. "A first course in rational continuum mechanichs" of G.Truesdell, The John Hopkins University, Baltimore, 1972.
I am a PhD in Theoretical Physics and I confirm the opinion of Mr. Marcus Malabad

 michnickLocal time: 08:59Specializes in fieldNative speaker of: Russian

18 hrs
continuum mechanics

Explanation:
continuum mechanics or mechanics of continua
is given for механика сплошной среды

continuum in maths : the real line. the cardinality of the continuum,C, is the cardinal no. of the points in the real line.

(phys): ionisation continuum : the energy spectrum above the ionisation threshold of an atom.

JANANI

 janasruIndiaLocal time: 11:29Native speaker of: English, Tamil

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