M
Marcio A. Murad
Researcher at National Council for Scientific and Technological Development
Publications - 79
Citations - 1965
Marcio A. Murad is an academic researcher from National Council for Scientific and Technological Development. The author has contributed to research in topics: Porous medium & Poromechanics. The author has an hindex of 22, co-authored 76 publications receiving 1795 citations. Previous affiliations of Marcio A. Murad include Purdue University & Instituto Politécnico Nacional.
Papers
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On stability and convergence of finite element approximations of biot's consolidation problem
TL;DR: In this paper, a family of decay functions, parametrized by the number of time steps, is derived for the fully discrete backward Euler-Galerkin formulation, showing that the pore-pressure oscillations, arising from an unstable approximation of the incompressibility constraint on the initial condition, decay in time.
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Improved accuracy in finite element analysis of Biot's consolidation problem
TL;DR: In this paper, numerical analysis and error estimates of finite element approximations of Biot's consolidation problem are presented, leading to lower orders of convergence for the pore pressure compared to the displacements of the porous medium.
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Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure
Christian Moyne,Marcio A. Murad +1 more
TL;DR: In this article, a macroscopic model for highly compacted expansive clays composed of a charged solid phase saturated by a binary monovalent aqueous electrolyte solution is derived based on a rigorous scale-up of the microstructural behavior.
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A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager’s Reciprocity Relations in Expansive Clays: I Homogenization Analysis
Christian Moyne,Marcio A. Murad +1 more
TL;DR: In this paper, the macroscopic model governing coupled electro-chemo-mechanical phenomena in expansive clays is revisited within a rigorous homogenization procedure applied to the microscopic governing equations which describe the local interaction between charged clay particles and a binary monovalent aqueous electrolyte solution.
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Asymptotic behavior of semidiscrete finite-element approximations of Biot's consolidation problem
TL;DR: In this article, error estimates for spatially discrete Galerkin finite-element approximations of Biot's model for consolidation of saturated porous media are presented, and the short and long-time behaviors of such approximation based on both stable and unstable combinations of finite element spaces of displacement and pore pressure fields are discussed.