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Preserving non-negative porosity values in a bi-phase elasto-plastic material under Terzaghi’s effective stress principle [dataset] Open Access

Poromechanics is a well-established field of continuum mechanics which seeks to model materials with multiple phases, usually a stiff solid phase and fluid phases of liquids or gases. Applications are widespread particularly in geomechanics where Terzaghi’s effective stress is widely used to solve engineering soil mechanics problems. This approach assumes that the solid phase is incompressible, an assumption that leads to many advantages and simplifications without major loss of fidelity to the real world. Under the assumption of finite (as opposed to infinitesimal) strains, the poromechanics of two- or bi-phase mater- ials gains complexity and while the compressible solid phase case has received attention from researchers, the incompressible case has received less. For the finite strain - incompressible solid phase case there is a fundamental issue with standard material models, in that for some loadings solid skeleton mass conservation is violated and negative Eulerian porosities are predicted. While, to the authors’ best knowledge, acknowledgement of this essential problem has been disregarded in the literature, an elegant solution is presented here, where the constraint on Eulerian porosity can be incorporated into the free energy function for a material. The formulation is explained in detail, soundly grounded in the laws of thermodynamics and validated on a number of illustrative examples.

Descriptions

Resource type
Dataset
Contributors
Creator: Pretti, Giuliano 1
Contact person: Coombs, William M. 1
Augarde, Charles E. 1
1 Durham University, UK
Funder
Engineering and Physical Sciences Research Council
Research methods
Material Point Method
Other description
Figure data for the paper "Preserving non-negative porosity values in a bi-phase elasto-plastic material under Terzaghi’s effective stress principle"
Keyword
material point method
poromechanics
finite deformation mechanics
coupled analysis
Subject
Location
Language
Cited in
doi:10.1016/j.mechmat.2024.104958
Identifier
ark:/32150/r16682x4042
doi:10.15128/r16682x4042
Rights
Creative Commons Attribution 4.0 International (CC BY)

Publisher
Durham University
Date Created

File Details

Depositor
W.M. Coombs
Date Uploaded
Date Modified
13 March 2024, 13:03:19
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Characterization
File format: zip (ZIP Format)
Mime type: application/zip
File size: 2463626
Last modified: 2024:03:05 11:03:08+00:00
Filename: Data.zip
Original checksum: 13d99e95bc2e183e927d2627006bf4fb
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User W.M. Coombs has updated Preserving non-negative porosity values in a bi-phase elasto-plastic material under Terzaghi’s effective stress principle [dataset] about 2 months ago
User N. Syrotiuk has updated Preserving non-negative porosity values in a bi-phase elasto-plastic material under Terzaghi’s effective stress principle [dataset] about 2 months ago
User W.M. Coombs has updated Preserving non-negative porosity values in a bi-phase elasto-plastic material under Terzaghi’s effective stress principle [dataset] about 2 months ago
User W.M. Coombs has updated Preserving non-negative porosity values in a bi-phase elasto-plastic material under Terzaghi’s effective stress principle [dataset] about 2 months ago
User W.M. Coombs has updated Preserving non-negative porosity values in a bi-phase elasto-plastic material under Terzaghi’s effective stress principle [dataset] about 2 months ago
User W.M. Coombs has deposited Data.zip about 2 months ago