Results 41 to 50 of about 1,839 (214)

Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization [PDF]

, 2008
Formulation of the scale transition equations coupling the microscopic and macroscopic variables in the second-order computational homogenization of heterogeneous materials and the enforcement of generalized boundary conditions for the representative ...
Bicanic, Nenad, Pearce, Chris J, Kaczmarczyk, Lukasz   +2 more
core   +1 more source

Generalized Multiscale Finite Element Methods with energy minimizing oversampling

International Journal for Numerical Methods in Engineering, 2018
SummaryIn this paper, we propose a general concept for constructing multiscale basis functions within Generalized Multiscale Finite Element Method, which uses oversampling and stable decomposition. The oversampling refers to using larger regions in constructing multiscale basis functions and stable decomposition allows estimating the local errors.
Eric Chung, Yalchin Efendiev, Wing Tat Leung   +2 more
openaire   +2 more sources

Multiscale Simulation of 2D Heat Transfer in Composite Media Based on Global–Local Enrichment Functions

Mathematics
In this study, the extended finite element method (XFEM) was integrated into the generalized multiscale finite element method with global–local enrichment (GFEMgl) to simulate 2D heat conduction in highly heterogeneous materials (i.e., matrixes with ...
Guangzhong Liu, Jiamin Guo, Yan Bao, Huan Ping   +3 more
doaj   +1 more source

A symmetric nodal conservative finite element method for the Darcy equation

, 2009
This work introduces and analyzes novel stable Petrov-Galerkin EnrichedMethods (PGEM) for the Darcy problem based on the simplest but unstable continuous P1/P0 pair.
Franca, L. P., Barrenechea, G. R., Valentin, F.   +2 more
core   +1 more source

A mixed multiscale spectral generalized finite element method

Numerische Mathematik
We present a multiscale mixed finite element method for solving second order elliptic equations with general $L^{\infty}$-coefficients arising from flow in highly heterogeneous porous media. Our approach is based on a multiscale spectral generalized finite element method (MS-GFEM) and exploits the superior local mass conservation properties of mixed ...
Christian Alber, Chupeng Ma, Robert Scheichl   +2 more
openaire   +2 more sources

Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation [PDF]

Multiscale Modeling & Simulation, 2020
The Boltzmann equation, as a model equation in statistical mechanics, is used to describe the statistical behavior of a large number of particles driven by the same physics laws. Depending on the media and the particles to be modeled, the equation has slightly different forms.
Eric T. Chung 0001, Yalchin Efendiev, Yanbo Li, Qin Li 0007   +3 more
openaire   +2 more sources

Microstructure‐Controlled Crack Propagation and Fracture Resistance in MoSiBTiC Alloy Revealed by Multiscale Extended Finite Element Method Modeling

Advanced Engineering Materials, EarlyView.
A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du, Takahiro Kaneko, Xinyu Yan, Takahito Ohmura, Kyosuke Yoshimi   +4 more
wiley   +1 more source

3D Printing Innovations in Polymeric Porous and Patterned Architecture

Advanced Functional Materials, EarlyView.
Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil, Sri Vaishnavi Thummalapalli, Clarissa Westover, Arunachalam Ramanathan, M. Taylor Sobzcak, Roumika Patil, Qixuan Xiang, Tiantian Li, Sui Yang, Timothy E. Long, Hongyue Sun, Xianqiao Wang, Yang Liu, Kenan Song   +13 more
wiley   +1 more source

Online conservative generalized multiscale finite element method for flow models

CoRR, 2020
In this paper, we consider an online enrichment procedure using the Generalized Multiscale Finite Element Method (GMsFEM) in the context of a two-phase flow model in heterogeneous porous media. The coefficient of the elliptic equation is referred to as the permeability and is the main source of heterogeneity within the model.
Yiran Wang 0003, Eric T. Chung 0001, Shubin Fu, Michael Presho   +3 more
openaire   +2 more sources

Standardized Effect Measures Informing Next‐Generation Strategies for Mechanical Stimulation in Cartilage Tissue Engineering

Advanced Healthcare Materials, EarlyView.
This systematic review quantitatively compares conventional mechanical stimulation strategies in cartilage tissue engineering across 85 heterogeneous in vitro studies. Applying standardized effect measures, meta‐analysis reveals that combined compression and shear loading optimally promotes cartilage matrix development.
Jiaqi K. Shen, Tony B. Huang, Catherine E. Davey, Elias Salzer, Gerjo J. V. M. Van Osch, Sandra J. Shefelbine, Marcus G. Pandy, Kathryn S. Stok   +7 more
wiley   +1 more source