Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization [PDF]
, 2007 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 +5 more
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Higher order asymptotic homogenization for dynamical problems
, 2021 In general, asymptotic homogenization methods are based on the hypothesis of perfect scale separation. In practice, this is not always the case. The problem arises of improving the solution in such a way that it becomes applicable if inhomogeneity ...
Awrejcewicz, Jan +2 more
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Journal of Function Spaces and Applications, 2011 We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε→0 of the solutions uε of the nonlinear equation divaε(x,∇uε)=divbε, where both aε and bε ...
Andreas Almqvist +3 more
doaj +1 more source
Modelling of Cortical Bone Tissue as a Fluid Saturated Double-Porous Material - Parametric Study [PDF]
Transactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013 In this paper, the cortical bone tissue is considered as a poroelastic material with periodic structure represented at microscopic and mesoscopic levels.
Jana TURJANICOVÁ +3 more
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Results in Physics, 2023 We present a computational framework for two-scale asymptotic homogenization to determine the intrinsic magnetic permeability of composites. To this end, considering linear magnetostatics, both vector and scalar potential formulations are used.
Celal Soyarslan +3 more
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An enhanced asymptotic homogenization method of elastic composite laminates.
, 1999 This dissertation has as its purpose the study of the usefulness of the homogenization method in analyzing laminated composite plates. The homogenization method has been used often in analyzing composite materials but has had limited use with the ...
Chen, Chien-Ming
core +6 more sources
Theoretical model of homogenized piezoelectric materials with small non-collinear periodic cracks [PDF]
Fracture and Structural Integrity, 2017 An analytical model for the homogenization of a piezoelectric material with small periodic fissures is proposed on the basis of the method of asymptotic expansions for the elastic displacement, the electric scalar potential and the test functions ...
Jean-Marie Nianga, Driss Marhabi
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Mixed Fluids of Water and Carbon Dioxide
Geophysical Monograph Series, Page 237-243., 2020 This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Evan Abramson
wiley +1 more source
Homogenization methods and mechanics of generalized continua - part 2 [PDF]
Theoretical and Applied Mechanics, 2002 The need for generalized continua arises in several areas of the mechanics of heterogeneous materials, especially in homogenization theory. A generalized homogeneous substitution medium is necessary at the global level when the structure made of a ...
Forest S.
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New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
Advanced Engineering Materials, EarlyView.This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
wiley +1 more source