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How to integrate the complex equations!...

Irene 123 15 Maple
integration
September 30 2016
0 1


Here is my code. I am deriving soil compression line for oedometric testing with porosity, below is a part of the derivation.

I would like to differentiate the (Sst/Vst)/(Spt/Vpt) by dsm first then integrate it with dsm ranges from 0 to dmax to get my final answer...

Hope someone can help me on writing the code... Thank you very much!!!

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restart
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``
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Sst := `βss`*[dsx(dsm)^(2-Ds)-dsm^(2-Ds)]/(2-Ds);

`βss`*[dsx(dsm)^(2-Ds)-dsm^(2-Ds)]/(2-Ds)

 (1)
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Spt := `βps`*[dpx(dsm)^(2-Dp)-dpm(dsm)^(2-Dp)]/(2-Dp);

`βps`*[dpx(dsm)^(2-Dp)-dpm(dsm)^(2-Dp)]/(2-Dp)

 (2)
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Vst := `βsv`*[dsx(dsm)^(3-Ds)-dsm^(3-Ds)]/(3-Ds);

`βsv`*[dsx(dsm)^(3-Ds)-dsm^(3-Ds)]/(3-Ds)

 (3)
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Vpt := `βpv`*[dpx(dsm)^(3-Dp)-dpm(dsm)^(3-Dp)]/(3-Dp);

`βpv`*[dpx(dsm)^(3-Dp)-dpm(dsm)^(3-Dp)]/(3-Dp)

 (4)
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``
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(dpm(dsm)/dpx(dsm))^(2-Dp) = (dsm/dsx(dsm))^(2-Ds);

(dpm(dsm)/dpx(dsm))^(2-Dp) = (dsm/dsx(dsm))^(2-Ds)

 (5)
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dpx := proc (dsm) options operator, arrow; C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds) end proc;

proc (dsm) options operator, arrow; C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds) end proc

 (6)
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dpm := proc (dsm) options operator, arrow; C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds+Dp-Ds) end proc;

proc (dsm) options operator, arrow; C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds+Dp-Ds) end proc

 (7)
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eval(Sst*Vpt/(Vst*Spt));

`βss`*[dsx(dsm)^(2-Ds)-dsm^(2-Ds)]*(3-Ds)*(2-Dp)*`βpv`*[(C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds))^(3-Dp)-(C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds+Dp-Ds))^(3-Dp)]/((2-Ds)*`βsv`*[dsx(dsm)^(3-Ds)-dsm^(3-Ds)]*`βps`*[(C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds))^(2-Dp)-(C1*dsx(dsm)*(dsm/dsx(dsm))^((3-Ds)*Ds+Dp-Ds))^(2-Dp)]*(3-Dp))

 (8)
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Download GEO_Assignment_3.mw

Error for (in EpResult) ...

Irene 123 15
dsolve numeric
September 14 2016
1 0

what does this mean:"Error, (in EpResult) cannot evaluate the solution further right of 0.36919453e-2, probably a singularity" as I cannot find any relevant material of this error.

I am simulating a condition and get to the final stage of calculation, and this error occurs....

 

 

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