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contributor authorVinh X. Nguyen
contributor authorYounane N. Abousleiman
date accessioned2017-05-09T00:36:20Z
date available2017-05-09T00:36:20Z
date copyrightJanuary, 2010
date issued2010
identifier issn0021-8936
identifier otherJAMCAV-26774#011002_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/142469
description abstractThe two-dimensional Mandel-type problem geometry is well-known to bio-geomechanicians for testing rocks, cartilages, and bones with solutions in Cartesian coordinates for rectangular specimens or polar coordinates for cylindrical and disk samples. To date, all existing solutions are only applicable to single-porosity and single-permeability models, which could fall short when the porous material exhibits multiporosity and/or multipermeability characteristics, such as secondary porosity or fracture. This paper extends the plane strain and axisymmetric Mandel-type solutions from single-to dual-porosity and dual-permeability poromechanics. The solutions are presented in explicit analytical forms and account for arbitrary time-dependent external loading conditions, e.g., cyclic and ramping. The derived analytical solutions and results exhibit general behaviors characterized by two time scales. Stresses, pore pressures, and displacements are plotted for various time scale ratios to illustrate the interplaying effects of permeability and stiffness contrast of both porous regions, in addition to the interporosity exchange, on the overall responses of the system. Also, examples with realistic loading conditions for laboratory testing or field simulation such as cyclic and ramping are provided to demonstrate the engineering applications of the presented dual-poroelastic formulation and solutions.
publisherThe American Society of Mechanical Engineers (ASME)
titlePoromechanics Solutions to Plane Strain and Axisymmetric Mandel-Type Problems in Dual-Porosity and Dual-Permeability Medium
typeJournal Paper
journal volume77
journal issue1
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3172146
journal fristpage11002
identifier eissn1528-9036
treeJournal of Applied Mechanics:;2010:;volume( 077 ):;issue: 001
contenttypeFulltext


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