Continuum mechanics vs Classical mechanics are they the same?

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SUMMARY

Continuum mechanics and classical mechanics are distinct fields, with continuum mechanics focusing on the behavior of materials with spatial extent, while classical mechanics deals with mass-points and particle dynamics. A foundational understanding of classical mechanics is essential before pursuing continuum mechanics, which is typically offered as a graduate-level math course. The discussion highlights that most mechanical engineering applications involve continuum mechanics, including fluid dynamics and solid deformations. Additionally, plasma physics, particularly magnetohydrodynamics (MHD), is categorized under continuum mechanics.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with mathematical concepts relevant to continuum mechanics
  • Basic knowledge of fluid dynamics
  • Awareness of solid mechanics and material behavior
NEXT STEPS
  • Research the differences between classical mechanics and continuum mechanics
  • Study the fundamentals of fluid dynamics in engineering contexts
  • Explore solid mechanics and its applications in engineering
  • Learn about magnetohydrodynamics (MHD) and its relevance in plasma physics
USEFUL FOR

Students and professionals in mechanical engineering, physics, and applied mathematics who seek to understand the distinctions between classical and continuum mechanics, as well as their applications in real-world scenarios.

Eng_physicist
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Will taking a course is continuum mechanics give me the same background as in classical mechanics or would I need to take both separately? Can anyone explain the difference if there is one between classical mechanic vs continuum mechanics in simple nontechnical terms.
 
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Continuum mechanics is math course and classical mechanics is a physics course. So, yes there is a difference, you should probably take classical mechanics before continuum mechanics (it is a graduate level math course at my local university).
 
Eng_physicist said:
Will taking a course is continuum mechanics give me the same background as in classical mechanics or would I need to take both separately? Can anyone explain the difference if there is one between classical mechanic vs continuum mechanics in simple nontechnical terms.

Continuum mechanics is a field theory, while classical mechanics is a theory of mass-points.
 
To elaborate on what Andy is saying, what you spend most of your time doing in courses called "classical mechanics" is to analyze the dynamics of particles or bodies that act like particles (e.g. relative distances between the planets and the sun vs. their diameters makes the analysis particle-like, and similar for the trajectory of an ICBM over a rotating Earth). Some/most physics books (both at the grad and undergrad levels) on classical mechanics will give some sort of (limited) introduction to continuum mechanics though.

So continuum mechanics is the mechanics of "real" objects that have spatial extent. Think of placing a bunch of heavy physics textbooks on a wood bookshelf. Over time, that specific shelf will start to sag; can you calculate how so? Not with particle dynamics!

The first sentence of Post #2 is actually a bit misleading, although sometimes correct. The majority of "mechanics" that a mechanical engineer does is actually continuum mechanics (fluids, deformations of solids, etc.). Furthermore, plasma physics (MHD specifically) is essentially continuum mechanics!

This http://en.wikipedia.org/wiki/Continuum_mechanics#Major_areas_of_continuum_mechanics" actually gives a good synopsis.
 
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