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Coupled flow and deformation fields due to a line load on a poroelastic half space: effect of surface stress and surface bending.
Proc Math Phys Eng Sci. 2020 Jan; 476(2233):20190761.PM

Abstract

In the past decade, many experiments have indicated that the surfaces of soft elastic solids can resist deformation by surface stresses. A common soft elastic solid is a hydrogel which consists of a polymer network swollen in water. Although experiments suggest that solvent flow in gels can be affected by surface stress, there is no theoretical analysis on this subject. Here we study the solvent flow near a line load acting on a linear poroelastic half space. The surface of this half space resists deformation by a constant, isotropic surface stress. It can also resist deformation by surface bending. The time-dependent displacement, stress and flow fields are determined using transform methods. Our solution indicates that the stress field underneath the line load is completely regularized by surface bending-it is bounded and continuous. For small surface bending stiffness, the line force is balanced by surface stresses; these forces form what is commonly known as 'Neumann's triangle'. We show that surface stress reduces local pore pressure and inhibits solvent flow. We use our line load solution to simulate the relaxation of the peak which is formed by applying and then removing a line force on the poroelastic half space.

Authors+Show Affiliations

Sibley School of Mechanical and Aerospace Engineering, Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853, USA.Sibley School of Mechanical and Aerospace Engineering, Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853, USA.Sibley School of Mechanical and Aerospace Engineering, Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853, USA. Global Station for Soft Matter, GI-CoRE, Hokkaido University, Sapporo, Japan.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

32082069

Citation

Liu, Zezhou, et al. "Coupled Flow and Deformation Fields Due to a Line Load On a Poroelastic Half Space: Effect of Surface Stress and Surface Bending." Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 476, no. 2233, 2020, p. 20190761.
Liu Z, Bouklas N, Hui CY. Coupled flow and deformation fields due to a line load on a poroelastic half space: effect of surface stress and surface bending. Proc Math Phys Eng Sci. 2020;476(2233):20190761.
Liu, Z., Bouklas, N., & Hui, C. Y. (2020). Coupled flow and deformation fields due to a line load on a poroelastic half space: effect of surface stress and surface bending. Proceedings. Mathematical, Physical, and Engineering Sciences, 476(2233), 20190761. https://doi.org/10.1098/rspa.2019.0761
Liu Z, Bouklas N, Hui CY. Coupled Flow and Deformation Fields Due to a Line Load On a Poroelastic Half Space: Effect of Surface Stress and Surface Bending. Proc Math Phys Eng Sci. 2020;476(2233):20190761. PubMed PMID: 32082069.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Coupled flow and deformation fields due to a line load on a poroelastic half space: effect of surface stress and surface bending. AU - Liu,Zezhou, AU - Bouklas,Nikolaos, AU - Hui,Chung-Yuen, Y1 - 2020/01/29/ PY - 2019/11/04/received PY - 2019/12/19/accepted PY - 2021/01/01/pmc-release PY - 2020/2/22/entrez PY - 2020/2/23/pubmed PY - 2020/2/23/medline KW - Darcy's law KW - plane strain KW - poroelasticity KW - surface bending KW - surface stress SP - 20190761 EP - 20190761 JF - Proceedings. Mathematical, physical, and engineering sciences JO - Proc. Math. Phys. Eng. Sci. VL - 476 IS - 2233 N2 - In the past decade, many experiments have indicated that the surfaces of soft elastic solids can resist deformation by surface stresses. A common soft elastic solid is a hydrogel which consists of a polymer network swollen in water. Although experiments suggest that solvent flow in gels can be affected by surface stress, there is no theoretical analysis on this subject. Here we study the solvent flow near a line load acting on a linear poroelastic half space. The surface of this half space resists deformation by a constant, isotropic surface stress. It can also resist deformation by surface bending. The time-dependent displacement, stress and flow fields are determined using transform methods. Our solution indicates that the stress field underneath the line load is completely regularized by surface bending-it is bounded and continuous. For small surface bending stiffness, the line force is balanced by surface stresses; these forces form what is commonly known as 'Neumann's triangle'. We show that surface stress reduces local pore pressure and inhibits solvent flow. We use our line load solution to simulate the relaxation of the peak which is formed by applying and then removing a line force on the poroelastic half space. SN - 1364-5021 UR - https://www.unboundmedicine.com/medline/citation/32082069/Coupled_flow_and_deformation_fields_due_to_a_line_load_on_a_poroelastic_half_space:_effect_of_surface_stress_and_surface_bending_ DB - PRIME DP - Unbound Medicine ER -
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