TY - JOUR
T1 - Dynamic soil consolidation model using a nonlocal continuum poroelastic damage approach
AU - Chen, Yijun
AU - Mobasher, Mostafa E.
AU - Waisman, Haim
N1 - Funding Information:
The authors are grateful to the funding support provided by the Fundamental Research Funds for the Central Universities (B200203059), Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX20_0472). The first author is supported by China Scholarship Council (CSC) (201906710104) for his 2‐year visiting scholar appointment at Columbia University.
Publisher Copyright:
© 2021 John Wiley & Sons Ltd.
PY - 2022/2/25
Y1 - 2022/2/25
N2 - We present a novel dynamic poroelastic model for soil consolidation in an isotropic homogeneous fluid saturated porous media. A nonlocal integral-type continuum damage formulation is applied to describe the damage evolution under dynamic excitations, in which a bilinear damage law is assumed. The governing equations are obtained by considering the conservation of momentum and mass balance for the solid–fluid mixtures, in which the fluid flow obeys Darcy's seepage law in the entire domain. The numerical solution of the fully coupled problem is achieved via a mixed FEM displacement–pressure (Formula presented.) element formulation. The mechanical equilibrium equations are evolved in time using a Newmark method and the resulting nonlinear system is solved via a Newton–Raphson method. Consistent linearization is then used to obtain the block Jacobian matrix analytically and the linear system is solved monolithically at each time step. Several numerical results are presented to study soil consolidation problems under harmonic excitations. We investigate the time-dependence response of the skeleton displacement, pressure, and damage evolution. In addition, the examples demonstrate that the nonlocal integral-type damage model can effectively overcome mesh dependence and yield smooth behavior.
AB - We present a novel dynamic poroelastic model for soil consolidation in an isotropic homogeneous fluid saturated porous media. A nonlocal integral-type continuum damage formulation is applied to describe the damage evolution under dynamic excitations, in which a bilinear damage law is assumed. The governing equations are obtained by considering the conservation of momentum and mass balance for the solid–fluid mixtures, in which the fluid flow obeys Darcy's seepage law in the entire domain. The numerical solution of the fully coupled problem is achieved via a mixed FEM displacement–pressure (Formula presented.) element formulation. The mechanical equilibrium equations are evolved in time using a Newmark method and the resulting nonlinear system is solved via a Newton–Raphson method. Consistent linearization is then used to obtain the block Jacobian matrix analytically and the linear system is solved monolithically at each time step. Several numerical results are presented to study soil consolidation problems under harmonic excitations. We investigate the time-dependence response of the skeleton displacement, pressure, and damage evolution. In addition, the examples demonstrate that the nonlocal integral-type damage model can effectively overcome mesh dependence and yield smooth behavior.
KW - continuum damage mechanics
KW - dynamic consolidation problem
KW - mixed finite element
KW - nonlocal integral-type formulation
KW - poroelasticity
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U2 - 10.1002/nag.3309
DO - 10.1002/nag.3309
M3 - Article
AN - SCOPUS:85120793959
VL - 46
SP - 486
EP - 528
JO - International Journal for Numerical and Analytical Methods in Geomechanics
JF - International Journal for Numerical and Analytical Methods in Geomechanics
SN - 0363-9061
IS - 3
ER -