Article
Mathematics, Applied
Thomas Russell, Pavel Bedrikovetsky
Summary: We discuss the transport of three-dimensional suspension-colloidal-nano particles in anisotropic porous media. By solving the Boltzmann kinetic equation, we capture the stochastic nature of particle velocity distribution due to the random pore-space geometry. The anisotropy is expressed using tensorial micro-scale transport coefficients and a direction-dependent velocity distribution. The homogenized macro-scale model, obtained through probabilistic homogenization, is a three-dimensional advective-diffusive-reactive equation, where the particle flow is slower than the carrier fluid speed in all directions. We also derive the upscaled equation for quasi-one-dimensional flow and study colloidal injections.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Energy & Fuels
Ali Ranjbar, Amin Izadpanahi, Arash Ebrahimi
Summary: This study evaluates the geomechanical behavior of fractures and faults in rocks as a saturated deformable discrete fracture-porous medium using coupled fluid flow-geomechanics numerical modeling. The method presented in this paper accurately describes the effects of fractures and faults on pore pressures during fluid flow.
JOURNAL OF PETROLEUM EXPLORATION AND PRODUCTION TECHNOLOGY
(2022)
Article
Engineering, Civil
Da Chen, Shahed Rezaei, Philipp L. Rosendahl, Bai-Xiang Xu, Jens Schneider
Summary: This paper combines finite element homogenisation and structural assessments to conduct multiscale modelling of laminated functionally graded porous beams made of closed-cell foams. The study focuses on the beam buckling and vibration performances. The results show that the relative density is the dominating factor in calculating the foam modulus, and quantitative relations between pore structure and Young's modulus are obtained. The graded porosities in the FG beams contribute to significant increases in beam stiffness.
ENGINEERING STRUCTURES
(2022)
Article
Mathematics, Applied
Weimin Han, Chenghang Song, Fei Wang, Jinghuai Gao
Summary: The paper introduces semi-discrete and fully discrete numerical methods for solving the diffusive-viscous wave equation and derives optimal error estimates. Numerical results on a test problem illustrate the numerical convergence orders.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Polymer Science
Seren Acarer, Inci Pir, Mertol Tufekci, Guler Turkoglu Demirkol, Nese Tufekci
Summary: Different types of nanocomposite membranes were experimentally and numerically compared in terms of mechanical properties and geometric shapes, leading to the determination of the most suitable shape and material for water treatment membranes.
Article
Engineering, Mechanical
M. Vieira de Carvalho, I. A. Rodrigues Lopes, F. M. Andrade Pires
Summary: This contribution investigates the modelling of failure in polycrystalline materials due to the nucleation and propagation of cohesive cracks at the micro-scale. A two-scale formulation and a fracture-based computational homogenisation procedure are proposed to analyze failure and obtain homogenized mechanical properties. Numerical examples confirm the effectiveness of the methods and investigate the influence of microscopic boundary conditions and deformation mechanisms on intergranular crack propagation.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Mathematics, Interdisciplinary Applications
A. Bayram, A. Korobenko
Summary: A numerical approach for modelling cavitating flows over moving hydrodynamic surfaces is presented, using various models and methods, and detailed comparisons and experimental validations are conducted.
COMPUTATIONAL MECHANICS
(2021)
Article
Engineering, Civil
R. Durand, J. F. Vieira, M. M. Farias
Summary: This research proposes a numerical method for simulating prestressed RC beams using advanced finite element models. The method provides realistic simulations and detailed information on deformability, crack patterns, and stress distributions. It includes cohesive elements for simulating concrete fracture, rod elements for simulating reinforcements, and contact elements for predicting relative displacements between rebars and concrete. The method has been validated with experimental data and is capable of capturing the behavior of prestressed RC beams.
ENGINEERING STRUCTURES
(2023)
Article
Mechanics
M. Cinefra
Summary: This work presents the implementation of non-conventional 1D and 2D elements for handling innovative materials and structural components with non-orthogonal geometries, utilizing the Node Dependent Kinematic approach and Lagrange expanding functions. The elements allow for accurate study of beam-like and plate-like structures with non-orthogonal geometries while reducing the degrees of freedom required for analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Materials Science, Ceramics
Gustavo P. Carmo, Joana Mesquita-Guimaraes, Joana Baltazar, Susana M. Olhero, Pedro Antunes, Paula M. C. Torres, Sonia Gouveia, Joao Dias-de-Oliveira, Joaquim Pinho-da-Cruz
Summary: This work utilizes numerical procedures to predict the effective thermoelastic properties of 3D-printed alumina-zirconia ceramics. The study analyzes the influence of different scales (micro-, mesoand macroscale) on the material's thermoelastic properties. Experimental, numerical, and analytical methods are used to obtain and compare the results.
CERAMICS INTERNATIONAL
(2023)
Article
Mechanics
Miguel Marco, Ricardo Belda, Maria Henar Miguelez, Eugenio Giner
Summary: This study analyzed the mechanical properties of various lattice and porous structures using the finite element method, showing that different cavity distributions have a significant impact on the mechanical behavior of the structures.
COMPOSITE STRUCTURES
(2021)
Article
Mathematics, Applied
J. A. Ferreira, L. Pinto, R. F. Santos
Summary: Convection enhanced drug delivery is a technique that allows therapeutic agents to reach target sites more efficiently through a catheter, particularly useful for treating diseases of the central nervous system. Numerical analysis shows that the fully discrete finite element method proposed for simulating CED is effective and has second order convergence.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Construction & Building Technology
Eduardo A. Rodrigues, Marcela Gimenes, Luis A. G. Bitencourt Jr, Osvaldo L. Manzoli
Summary: The use of recycled concrete aggregates in new concrete can provide economic and environmental benefits, but the influence of inert particles on the mechanical behavior of concrete needs to be better understood. This study employed mesh fragmentation technique and concurrent multiscale strategy to accurately predict the failure mechanism of recycled aggregate concrete.
CONSTRUCTION AND BUILDING MATERIALS
(2021)
Article
Engineering, Mechanical
Kai Wang, Jun Lai, Jingmang Xu, Tao Liao, Ping Wang, Rong Chen, Yao Qian, Lu Li, Xiaochuan Ma
Summary: As traffic density and axle loads increase, there can be severe rail wear due to macroscopic wheel-rail contact. This paper presents a multi-scale analysis framework using explicit finite element methods and molecular dynamics models to understand the microscopic wear mechanisms. The research shows that the proximity and annihilation of reverse dislocations in the rail material under wheel-rail forces cause grain boundary fragmentation, while the proliferation of dislocations on the Subsurface leads to work hardening of the rail. The proposed analytical framework establishes a correlation between macroscopic wheel-rail contact and material microscopic response, revealing the microscopic wear mechanism of rail materials.
TRIBOLOGY INTERNATIONAL
(2023)
Article
Engineering, Multidisciplinary
Laure Moretti, Pavel Simacek, Suresh G. Advani
Summary: The study proposes a solution for simulating the flow of liquid through porous media using 1D elements to model holes and connect 3D elements to partition a large porous media domain. This approach has been successfully applied in liquid composite molding processes and the processing of large thick panels with perforated interlayers. A systematic parametric study was conducted to quantify the impact of domain length, number of interlayers, hole diameter, and fluid viscosity on accuracy loss.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
