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Correspondence principle between anisotropic poroviscoelasticity and poroelasticity using micromechanics and application to compression of orthotropic rectangular strips
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10.1063/1.4748293
/content/aip/journal/jap/112/4/10.1063/1.4748293
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/4/10.1063/1.4748293

Figures

Image of FIG. 1.
FIG. 1.

Biot’s effective stress coefficients for a transversely isotropic rock with elastic Ks .

Image of FIG. 2.
FIG. 2.

Biot’s effective stress coefficients for a transversely isotropic articular cartilage, characteristic relaxation time of Ks is 60 s.

Image of FIG. 3.
FIG. 3.

Biot’s effective stress coefficients for a transversely isotropic articular cartilage, characteristic relaxation time of Ks is 600 s.

Image of FIG. 4.
FIG. 4.

Biot’s effective stress coefficients for a transversely isotropic articular cartilage, characteristic relaxation time of Ks is 30 s.

Image of FIG. 5.
FIG. 5.

Biot’s effective stress coefficients for a transversely isotropic articular cartilage, characteristic relaxation time of Ks is 600 000 s.

Image of FIG. 6.
FIG. 6.

Confined compression test of a rectangular strip.

Image of FIG. 7.
FIG. 7.

Unconfined compression test of a long rectangular strip (Mandel’s problem).

Image of FIG. 8.
FIG. 8.

Applied cyclic axial compression for both unconfined and confined compression tests.

Image of FIG. 9.
FIG. 9.

Pore pressure history at the center of the unconfined samples.

Image of FIG. 10.
FIG. 10.

Evolution of axial stress at the center of the unconfined samples.

Image of FIG. 11.
FIG. 11.

Lateral displacement of the side of the unconfined samples (negative values indicate dilation).

Image of FIG. 12.
FIG. 12.

Pore pressure history at the bottom of the confined samples.

Image of FIG. 13.
FIG. 13.

Evolution of axial stress of the confined samples.

Image of FIG. 14.
FIG. 14.

Evolution of lateral stress σxx at the bottom of the confined samples.

Image of FIG. 15.
FIG. 15.

Evolution of lateral stress σyy at the bottom of the confined samples.

Tables

Generic image for table
Table I.

Comparison of poroelastic and poroviscoelastic formulas in time domain and Laplace transform domain.

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/content/aip/journal/jap/112/4/10.1063/1.4748293
2012-08-30
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Correspondence principle between anisotropic poroviscoelasticity and poroelasticity using micromechanics and application to compression of orthotropic rectangular strips
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/4/10.1063/1.4748293
10.1063/1.4748293
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