Size optimization of micro-frame structures for designing multiscale structures
Nihon Kikai Gakkai ronbunshu, 2022 In this paper, we propose a multi-scale optimal design method for determining the member diameters of minute micro-frame structures in a macro-structure. The microstructures and the macrostructure are bridged by the homogenization method.
Yutaro TAKUMI, Masatoshi SHIMODA
doaj +1 more source
Evidence for Reductions in Fungal Richness and Beta Diversity Dispersion Associated With Impervious Surfaces in California. [PDF]
Ecol EvolUsing public fungal occurrence data archived on the Global Biodiversity information facility, and impervious land cover maps from the National Land Cover Database, we were able to demonstrate that impervious cover has a significant influence on the diversity on fungal assemblages. These effects include a reduction in saprotrophic fungal richness, and a
Simons AL +3 more
europepmc +2 more sources
Two-Scale Homogenization of Piezoelectric Perforated Structures
Mathematics, 2022 We are interested in the homogenization of the elastic-electric coupling equation with rapidly oscillating coefficients, in a periodically perforated piezoelectric body. The holes, whose size are supposed to tend to zero, are periodically distributed. We
Houari Mechkour
doaj +1 more source
Damage as Gamma-limit of microfractures in anti-plane linearized elasticity [PDF]
, 2008 A homogenization result is given for a material having brittle inclusions arranged in a periodic structure. <br/> According to the relation between the softness parameter and the size of the microstructure, three different limit models are ...
Scardia, L., Scardia, L Lucia
core +2 more sources
Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint [PDF]
, 2010 A homogenization result is given for a material with brittle periodic inclusions, under the requirement that the interpenetration of matter is forbidden.
Lucia Scardia, Scardia, L.
core +1 more source
Effective behavior of long and short fiber-reinforced viscoelastic composites
Applications in Engineering Science, 2021 We study the homogenized properties of linear viscoelastic composite materials in three dimensions. The composites are assumed to be constituted by a non-aging, isotropic viscoelastic matrix reinforced by square or hexagonal arrangements of elastic ...
O.L. Cruz-González +5 more
doaj +1 more source
Subsampling and homogenization to investigate variability of composite material mechanical properties [PDF]
, 2012 This paper presents an innovative homogenization sampling technique applied to multiscale modelling of composite materials. The goal is to build efficiently statistical variability of mechanical properties at mesoscopic scale from the heterogeneous media
DAU, Frédéric, PINEAU, Pierre
core +1 more source
Size effects for micro-fractured bodies under compressive loading [PDF]
Theoretical and Applied Mechanics, 2011 A two-scale damage model for micro-fractured media is constructed using the asymptotic homogenization method. At the small-scale level, we consider locally periodic microstructures of two-types: micro-cracks nucleating from pores and wing-type micro ...
Dobrovat A.M. +3 more
doaj +1 more source
Composites Part C: Open Access, 2022 Composite materials and structures are inherently in-homogeneous across multiple scales. Multi-scale modelling offers opportunities to apprehend the coupling of material behaviour and characteristics from the micro- to meso- and macro-scales.
Guillaume Robin +5 more
doaj +1 more source
Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
, 2007 Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core +1 more source