yade-users team mailing list archive

[焦利青 <jiaoliqing@xxxxxxx>]

Hello Vaclav,

From Eq(3.39) and the chart on page 52 in your thesis, How to deal with the kind of materials which have the poisson's ratio of over 0.25 (0.25-0.5). For this kind of materials. In the other words, how to get the Kt from Kn and poisson's ratio? Thank you so much.

Best
Liqing

At 2010-09-20 23:14:39，"Vaclav Smilauer" <eudoxos@xxxxxxxx> wrote:

>> Thank you for your comments. I can understand it. You know, from the
>> mechanical concept, the shear modulus (G) can be represented by E/2*(1
>> +v) for homogeneous isotropic materials, here E is young modulus, v is
>> poisson ratio. So, can we decide G_over_E is equal to 1/2*(1+v)
>> directly? Can we use 1/2*(1+v) to calculate kt/kn?
>> Thank you so much.
>
>No, I don't think that would work; the notation in the code (G_over_E)
>is a little misleading again, G=kt/A and E=kn/A on the interaction level
>are different from Young and shear modulus for continuum (in the sense
>of how a RVE of particles would behave globally), depending on packing
>configuration etc.
>
>Eq (3.39), pg 51 of my thesis gives some a relationship between kt/kn
>and Poisson's ratio based on the microplane theory analogy (see the
>article referenced for details), but there is a number of suppositions,
>such as fixed particle radius (otherwise the dimensional analysis would
>have to take in account more parameters). (pg 52 shows that it matches
>in a sense)
>
>HTH, Vaclav
>
>
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