What is finite elasticity talking about?

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Finite elasticity refers to the theory of elastic materials that can undergo large deformations, distinguishing them from rigid bodies that do not deform. The discussion highlights the misconception that elasticity is only relevant for materials with finite lengths, clarifying that finite elasticity allows for significant deformations without losing the material's elastic properties. It emphasizes that while rigid bodies have infinite elastic coefficients and experience negligible deformation, finite elasticity enables a material to exhibit large deformations. The conversation concludes with an acknowledgment of the differences between rigid bodies and materials with finite elasticity. Understanding this distinction is crucial in the study of solid mechanics and material behavior.
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?
 
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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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