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Results tagged with elasticity
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user 87602
Questions related to the Continuum Mechanics Division of Elasticity. The bending of beams, deflection of rods, or in general, applications of Hooke's Law generalized to three dimensions.
6
votes
What is the relationship between Elasticity and Compliance?
$Elasticity$ describes the relation between the $force$ (or $stress$) on a body and the corresponding $distortion$ (or $strain$). … Secondly, stiffness, compliance and elasticity can be modelled in any number of dimensions: a simple spring has them in 1-D, a rubber sheet has them in 2-D, a lump of metal has them in 3-D. …
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1
vote
Why elastic materials are discribed by tensors?
'Tensor' is a general name for almost any physically-meaningful quantity and you've been working with tensors since primary school: scalars like temperature are 0th order tensors, vectors like veloc …
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0
votes
Differences between elastic moduli
No! The two fundamental moduli are the shear modulus $G$, which is the resistance of a material to change of shape under applied forces, and the bulk modulus $K$, which is its resistance to change o …
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0
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Relation between area elements in finite deformation theory (continuum mechanics)
Your first two equations can be written in other forms, so how about this? In 1-D:
$$\lambda=\frac{L}{^0L}$$
(I use a pre-superscript for initial values and post-subscripts for spatial directions) …
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0
votes
What equation predicts at what point a stretched object comes apart?
Like most materials, toffee (UK English) is elastic under low loads and plastic under greater loads. However, its response is highly dependent on both temperature (obviously?) and strain rate. If …
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