Local Response in Concrete and Other Composite Material Structures Using the Embedded Unit Cell Approach

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Abstract

In this paper we are presenting the development of a new concept, the embedded unit cell (EUC) approach, used to calculate local responses in elastic media. In addition, the suggested formulation provides homogenization and multi scale analysis of composite materials, structures and domains; where the classical theory of homogenization does not valid. The EUC approach is based on a multi-scale formulation of the asymptotic homogenization theory to evaluate structure response in several special cases, such as response of non-periodic domains or local/micro response at zones that are expected to develop stress concentrations. The suggested approach is based on the zone-adapted unit cell, restricted by alternative boundary conditions and surrounded by micro scale domain that represents non periodic features of the macroscopic structure. By using the alternative boundary conditions, the periodic assumption of unit cell response that is essential in the classical theory, is no longer required yet preserving an accurate micro-scale response evaluation. This approach offers a reduced computational cost model of the macroscopic/global problem however the precision of the microscale problem solution is retained. The EUC concept broadens the applicability of multiscale analysis techniques, used to evaluate mechanical response of variety of composite materials, in particular highly heterogeneous materials (i.e. concrete, etc.), which are widely used in modern construction industry.

Original languageEnglish
Title of host publicationCONCREEP 2015
Subtitle of host publicationMechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures - Proceedings of the 10th International Conference on Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures
EditorsJohann Kollegger, Christian Hellmich, Bernhard Pichler
PublisherAmerican Society of Civil Engineers (ASCE)
Pages1259-1268
Number of pages10
ISBN (Electronic)9780784479346
DOIs
StatePublished - 2015
Externally publishedYes
Event10th International Conference on Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures, CONCREEP 2015 - Vienna, Austria
Duration: 21 Sep 201523 Sep 2015

Publication series

NameCONCREEP 2015: Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures - Proceedings of the 10th International Conference on Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures

Conference

Conference10th International Conference on Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures, CONCREEP 2015
Country/TerritoryAustria
CityVienna
Period21/09/1523/09/15

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