Continuum Idealization: Treating Properties as Point Functions

  • Thread starter Thread starter Ali Asadullah
  • Start date Start date
  • Tags Tags
    Continuum
Click For Summary
Continuum Idealization enables the treatment of material properties as point functions by assuming that these properties vary smoothly and continuously across space, without abrupt changes. This approach simplifies the analysis of materials by allowing for differential equations to describe behavior, as opposed to dealing with discrete jumps in properties. While the idealization assumes continuous variation, it is acknowledged that jump conditions can exist at interfaces between different materials. The discussion highlights the balance between idealization for analytical convenience and the reality of material behavior. Understanding this concept is crucial for accurately modeling physical systems in engineering and physics.
Ali Asadullah
Messages
99
Reaction score
0
Please explain how the Continuum Idealization allows us to treat properties as point functions and to assume that properties vary continually in space no jump continuity?
Thanks
 
Physics news on Phys.org
Continuum theories definitely allow for jump conditions at interfaces.
 

Thread 'Reference frames, center of rotation, etc'

Topic about reference frames, center of rotation, postion of origin etc Comoving ref. frame is frame that is attached to moving object, does that mean, in that frame translation and rotation of object is zero, because origin and axes(x,y,z) are fixed to object? Is it same if you place origin of frame at object center of mass or at object tail? What type of comoving frame exist? What is lab frame? If we talk about center of rotation do we always need to specified from what frame we observe?
View full post »

Similar threads

Undergrad A question about the origin of Coulomb's law and point charge divergence
  • · Replies 13 ·
Replies
13
Views
773
Undergrad Question regarding dh, du, cp, cv for ideal gases
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Trying to understand couple stress in continua
  • · Replies 6 ·
Replies
6
Views
991
Continuum limit: is it really justifiable?
  • · Replies 4 ·
Replies
4
Views
8K
Undergrad Effects of gravity on planetary core structure
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Why is estimation of ##\frac{Pv}{RT}=1+BP+CP^2+...## interesting?
  • · Replies 2 ·
Replies
2
Views
2K
Observables vs. continuum and metric?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Do we need stochasticity in a discrete spacetime?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Mathematical proof for the Lagrangian function
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Understanding Ultrasound Attenuation and Reflection in Aluminum Sheets
  • · Replies 15 ·
Replies
15
Views
2K