Mathematical Proof of the Mandel--Cryer Effect in Poroelasticity

DOI10.1137/20M1346043zbMath1464.35344OpenAlexW3151005432MaRDI QIDQ5857935

C. J. Van Duijn, Andro Mikelić

Publication date: 8 April 2021

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1346043

zbMATH Keywords

poroelasticityMandel-Cryer effectMandel's problem

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Flows in porous media; filtration; seepage (76S05) Laplace transform (44A10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Mandel's problem as a benchmark for two-dimensional nonlinear poroelasticity

Cites Work

• Numerical convergence study of iterative coupling for coupled flow and geomechanics
• A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• A COMPARISON OF THE THREE-DIMENSIONAL CONSOLIDATION THEORIES OF BIOT AND TERZAGHI
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