Article
Mechanics
Laura Miller, Raimondo Penta
Summary: In this work, we investigate the influence of microstructure on elastic parameters in poroelastic materials. Comparing with a standard poroelastic approach, we consider the effects of multiple elastic and fluid phases based on the LMRP model. By using the asymptotic homogenization approach, we summarize both the LMRP model and the standard approach, and provide the required 3D and 2D boundary loads for numerical simulations. Our results show that the LMRP model is more appropriate for poroelastic composite materials with porosity exceeding 5%, especially in terms of Young's moduli E1 and E3 and the shear C44. When the porosity exceeds 20%, it should also be used for investigating the shear C66. For materials with porosity less than 5%, both the standard poroelastic approach and the LMRP model yield the same results.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Physics, Multidisciplinary
Wanda Strychalski
Summary: Blebbing is a phenomenon in cells under high cortical tension where membrane detachment leads to cytosol flow and expansion, used as leading edge protrusions in cell migration and initiated through loss of adhesion or cortex ablation. Experimental and theoretical studies on bleb morphologies from different initiation mechanisms are lacking, while cytoplasmic material properties like elasticity play a role in limiting bleb size..dynamic computational models show varying bleb expansion dynamics and shapes based on initiation mechanisms and reveal differences in scaling properties between 3D and 2D simulations.
FRONTIERS IN PHYSICS
(2021)
Article
Chemistry, Physical
Laura Miller, Ariel Ramirez-Torres, Reinaldo Rodriguez-Ramos, Raimondo Penta
Summary: This paper derives the governing equations for the overall behavior of linear viscoelastic composites consisting of two families of elastic inclusions and an incompressible Newtonian fluid at the microscale. Using the asymptotic homogenization method, a new homogenized model is derived by upscaling the fluid-structure interaction problem. The model has coefficients that encode the properties of the microstructure and can be computed by solving a single local differential fluid-structure interaction problem.
Article
Geochemistry & Geophysics
Edith Sotelo, Nicolas D. Barbosa, Santiago G. Solazzi, J. German Rubino, Marco Favino, Klaus Holliger
Summary: The aim of this study is to study the reflectivity response of stratified thin layers in seismic reflection studies using their homogenized viscoelastic equivalents. The estimation of the equivalent moduli is inherently affected by the boundary conditions associated with the embedding background. A novel homogenization procedure is proposed to incorporate the appropriate boundary conditions.
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
(2023)
Article
Engineering, Multidisciplinary
Jean-Francois Louf, Symone L. M. Alexander
Summary: Despite lacking a nervous system and muscles, plants are able to sense, regulate flow, and move. This is achieved through complex multi-scale couplings between biology, chemistry, and physics. By decomposing plant responses into different independent modules, and combining them later, a more holistic view can be obtained. Poroelastic principles are used in the design of plant-inspired soft devices to enable sensing, flow manipulation, and motion generation.
BIOINSPIRATION & BIOMIMETICS
(2023)
Article
Mathematics, Applied
Lorena Bociu, Suncica Canic, Boris Muha, Justin T. Webster
Summary: This study examines the interaction between an incompressible, viscous fluid and a multilayered poroelastic structure, modeling it with the dynamic Stokes equation. By constructing approximate solutions and using energy methods, the existence of weak solutions to this fluid-structure interaction problem is proven.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
(2021)
Article
Computer Science, Interdisciplinary Applications
C. Ager, A. Seitz, W. A. Wall
Summary: This contribution focuses on the numerical treatment of interface-coupled problems involving the interaction of impermeable or permeable elastic bodies and the surrounding fluid, including contact interaction of deformable bodies. The formulation presented in this paper is based on a fluid-structural-contact interaction approach and includes various interface conditions and fluid stress calculations for the lift-off behavior of contacting bodies. The numerical approach incorporates non-interface fitted computational meshes for the fluid domain and demonstrates robustness for challenging configurations, such as topological changes and 3D configurations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Geological
Mahdad Eghbalian, Mehdi Pouragha, Richard Wan
Summary: The paper investigates the failure of brittle rocks within a multiscale/multiphysics computational modeling framework and establishes a microstructurally enriched continuum damage-poroelasticity constitutive model that inherits small-scale characteristics. The model considers the effects of microcracking on induced anisotropy and deterioration of poroelastic properties, with numerical results discussed in detail and validated against experiments on Fontainebleau sandstone.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Lei Li, Jiaqi Zhang, Zelai Xu, Y-N Young, James J. Feng, Pengtao Yue
Summary: This article proposes a finite-element method for computing flows involving a fluid-hydrogel interface. The hydrogel is treated as a poroelastic material and the interfacial deformation is coupled with the fluid and solid governing equations. Numerical tests show excellent agreement between the results obtained using this method and analytical solutions in various flow problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mechanics
S. Koley, C. S. Upadhyay, P. M. Mohite
Summary: This study investigates the interface between plies in the interior regions of composite laminates and shows that the interfacial boundary layer plays a significant role in the local stress state.
COMPOSITE STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
M. Eghbalian, R. Wan, M. Pouragha
Summary: This paper presents a micromechanical description of the swelling behavior of partially saturated clays. The representative elementary volume (REV) of clay at the nano-scale consists of idealized parallel clay platelets and oblate spheroidal pores saturated with an electrolyte solution. Swelling forces at all spacing ranges are considered, and the description at the macroscopic level takes into account the couplings of mechanical, hydraulic, and electrochemical forces. The paper focuses on reversible deformation mechanisms in clay and obtains a generalized nonlinear form of Biot's poroelasticity relation with additional terms for capillary and swelling stresses. The stress description of clays is embedded with microstructural information, and a localization procedure is utilized to track microstructural changes. Material point simulations of clay swelling tests are used to investigate the baseline features of the model.
MECHANICS OF MATERIALS
(2022)
Article
Biophysics
Pietro Mascheroni, Raimondo Penta, Jose Merodio
Summary: In this study, we investigate the influence of microstructural properties of vascularised poroelastic materials on their overall response. By using a recently developed model, we analyze how the density of vessels and compressibility of the poroelastic matrix affect the transport of fluid and drug within a tumour after a transient time. The results indicate that enhancing the compressibility of the matrix and decreasing the vessels' density can improve the transvascular pressure difference and thus enhance drug delivery into the lesions.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2023)
Article
Biophysics
Laura Miller, Raimondo Penta
Summary: In this study, we investigate the impact of microstructural changes induced by myocardial infarction on the elastic parameters of the heart. We use a poroelastic composite model to describe the myocardium microstructure and consider changes such as loss of myocyte volume and increased matrix fibrosis in the areas surrounding the infarct. Our simulations show that the infarcted heart is stiffer than the healthy heart, but with reperfusion, it begins to soften. We also observe that an increase in myocyte volume leads to a softer myocardium. These findings provide insights into predicting the stiffness and volume changes in the heart post-infarction.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2023)
Article
Chemistry, Physical
Robert Saunders, Celia Butler, John Michopoulos, Dimitris Lagoudas, Alaa Elwany, Amit Bagchi
Summary: The research presents a method to link microstructure morphology to mechanical properties and demonstrates near real-time property predictions using a directed graphical network, combining crystal plasticity simulations with computationally generated microstructures.
NPJ COMPUTATIONAL MATERIALS
(2021)
Article
Mathematics, Applied
Anyastassia Seboldt, Oyekola Oyekole, Josip Tambaca, Martina Bukac
Summary: The paper investigates the numerical solution of the fluid-porohyperelastic structure interaction problem, proposing two novel partitioned methods based on Robin boundary conditions and deriving energy estimates and stability analysis on a simplified linear problem. The first partitioned method is unconditionally stable, while the second method is shown to be energy-stable under certain conditions when the structure is viscoelastic.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Mathematics, Applied
Gregoire Allaire, Olivier Bernard, Jean-Francois Dufreche, Andro Mikelic
COMPUTATIONAL & APPLIED MATHEMATICS
(2017)
Article
Mathematics, Applied
Gregoire Allaire, Olivier Bernard, Jean-Francois Dufreche, Andro Mikelic
COMPUTATIONAL & APPLIED MATHEMATICS
(2017)
Article
Mathematics, Applied
Andro Mikelic, Josip Tambaca
APPLICABLE ANALYSIS
(2019)
Article
Mathematics, Applied
Anna Marciniak-Czochra, Andro Mikelic, Thomas Stiehl
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2018)
Article
Mathematics, Applied
Thomas Carraro, Eduard Marusic-Paloka, Andro Mikelic
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2018)
Article
Materials Science, Multidisciplinary
C. J. van Duijn, Andro Mikelic, Thomas Wick
MATHEMATICS AND MECHANICS OF SOLIDS
(2019)
Article
Engineering, Multidisciplinary
C. J. van Duijn, Andro Mikelic, Mary F. Wheeler, Thomas Wick
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2019)
Article
Engineering, Multidisciplinary
Cornelis J. van Duijn, Andro Mikelic, Thomas Wick
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2020)
Article
Mathematics, Applied
Chris Kowall, Anna Marciniak-Czochra, Andro Mikelic
Summary: This paper extends the analysis of shadow systems to very long time intervals, providing error estimates in terms of a power of the inverse of the diffusion coefficient. The approach can be applied to linear systems of reaction-diffusion equations coupled to ordinary differential equations, and potentially extended to semi-linear or classical reaction-diffusion systems.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Mathematics, Applied
Gregoire Allaire, Robert Brizzi, Christophe Labbez, Andro Mikelic
Summary: This paper studies the partial differential equation describing the charge distribution of an electrolyte in a porous medium. Realistic non-ideal effects are considered using the mean spherical approximation (MSA) model, which takes into account finite size ions and screening effects. The main novelty lies in the non-constant surface charge density on the pore walls, modeled using a chemical equilibrium reaction. The resulting system is a new variant of the Poisson-Boltzmann equation with a monotone structure under certain physical parameter assumptions. The MSA model introduces additional non-linearities in the non-ideal case, breaking down the monotone structure of the system. Existence and sometimes uniqueness of solutions are proven, and numerical experiments are conducted to compare the model with a constant surface charge in 2D.
APPLICABLE ANALYSIS
(2022)
Article
Mathematics, Applied
C. J. van Duijn, A. Mikelic, T. Wick
Summary: In this paper, the Mandel problem is considered in the context of nonlinear single-phase poroelasticity, with assumptions of slightly compressible fluid, and porosity and permeability as functions of volume strain. The well-posedness of the time-discrete incremental problem is proved by recasting the equations involving a pseudo-monotone operator, and the existence of a Lyapunov functional yielding a global time-discrete solution is demonstrated. Numerical investigation of the poroelastic structure verifies assumptions leading to Mandel's solution and shows consequences of proposed nonlinearities.
APPLICABLE ANALYSIS
(2022)
Article
Mathematics, Interdisciplinary Applications
Cornelis J. van Duijn, Andro Mikelic
Summary: This paper provides a rigorous mathematical setting for Mandel's problem and the Mandel-Cryer effect. By formulating nonstandard linear parabolic problems and introducing abstract variational parabolic formulation, the mathematical proof of the Mandel-Cryer effect is achieved. The Laplace transform applied to the pressure equation plays a key role in demonstrating the immediate impact of the Mandel-Cryer effect.
MULTISCALE MODELING & SIMULATION
(2021)
Article
Mathematics, Interdisciplinary Applications
A. Mikelic, M. F. Wheeler, T. Wick
GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS
(2019)
Article
Mathematics, Interdisciplinary Applications
Sanghyun Lee, Andro Mikelic, Mary F. Wheeler, Thomas Wick
MULTISCALE MODELING & SIMULATION
(2018)
Article
Mathematics
Anna Marciniak-Czochra, Andro Mikelic
VIETNAM JOURNAL OF MATHEMATICS
(2017)
Article
Mathematics, Applied
Kevin J. Painter, Thomas Hillen, Jonathan R. Potts
Summary: The use of nonlocal PDE models in describing biological aggregation and movement behavior has gained significant attention. These models capture the self-organizing and spatial sorting characteristics of cell populations and provide insights into how animals perceive and respond to their surroundings. By deriving and analyzing these models, we can better understand biological movement behavior and provide a basis for explaining sociological phenomena.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2024)
Article
Mathematics, Applied
Nicola Bellomo, Massimo Egidi
Summary: This paper focuses on Herbert A. Simon's visionary theory of the Artificial World and proposes a mathematical theory to study the dynamics of organizational learning, highlighting the impact of decomposition and recombination of organizational structures on evolutionary changes.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2024)
Article
Mathematics, Applied
Tayfun E. Tezduyar, Kenji Takizawa, Yuri Bazilevs
Summary: This paper provides an overview of flows with moving boundaries and interfaces (MBI), which include fluid-particle and fluid-structure interactions, multi-fluid flows, and free-surface flows. These problems are frequently encountered in engineering analysis and design, and pose computational challenges that require core computational methods and special methods. The paper focuses on isogeometric analysis, complex geometries, incompressible-flow Space-Time Variational Multiscale (ST-VMS) and Arbitrary Lagrangian-Eulerian VMS (ALE-VMS) methods, and special methods developed in connection with these core methods.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2024)