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Simplified homogenization technique for engineering applications
Author(s) -
Bäcker Dennis
Publication year - 2015
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400188
Subject(s) - homogenization (climate) , piezoelectricity , materials science , volume fraction , composite material , mathematical analysis , mathematics , biodiversity , ecology , biology
Adapted from the parallel and series connections of materials a homogenization method for the calculation of effective material constants of composite materials is derived. A complex structure is divided into small volumes and each volume represents a different material. Thereby the volume fraction of complex‐formed inclusions can be approximated. Then, considering the position of volumes to each other (parallel / series connection) the effective material constants for elastic and piezoelectric materials are calculated.