What is finite elasticity talking about?

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Discussion Overview

The discussion revolves around the concept of "finite elasticity" in solid mechanics, particularly in the context of large deformations of materials. Participants explore the meaning and implications of finite elasticity compared to rigid body behavior.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the term "finite elasticity," questioning whether it implies a distinction from rigid bodies and if large deformations affect elasticity measurements.
  • Another participant suggests that "finite elasticity" differentiates elastic materials capable of large deformations from rigid bodies, which have infinite elastic coefficients and only allow for infinitesimal deformations.
  • A later reply acknowledges the explanation provided and references a definition of rigid bodies from Wikipedia, indicating a newfound understanding of the differences between rigid bodies and materials exhibiting finite elasticity.

Areas of Agreement / Disagreement

Participants appear to reach a level of understanding regarding the distinction between finite elasticity and rigid bodies, though the initial confusion about the term remains evident. No consensus on the broader implications of finite elasticity is established.

Contextual Notes

The discussion does not resolve the implications of large deformations on elasticity or clarify the specific conditions under which finite elasticity applies. The definitions and distinctions discussed may depend on specific contexts within solid mechanics.

fruitkiwi
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Hi, dear all,

recently study the solid mechanic continuity, keep reading about to solve large deformation of material, you will need so called "finite elasticity"

What is this finite elasticity refer to ?
"Finite elasticity is a theory of elastic materials capable of undergoing large deformations."

Erm, this sentence don't carry any meaning to me.
I thought elastic material should always be finite, as it has finite length, which allow us to have elasticity measurement. if i have large deformation, will it change anything about elasticity?or it refer to nonlinear elastic material?

mind to share?
 
Physics news on Phys.org
anyone mind to share about this topic?
or my question is too general?
 
I think, "finite elasticity" in this context is simply used to distinguish from "rigid bodies", whose elastic coefficients are effectively infinite and deformations infinitesimal. Thus, a body exhibiting "finite elasticity" would be capable of "large deformations" that rigid body is not.
 
Hi, K^2.

thank you for your explanation.
It is solved

to support your statement, i find the following from wikipedia.
In physics, a rigid body is an idealization of a solid body of finite size in which deformation is neglected.

i never realize have such differences. thanks a lot
 

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