TY - JOUR
T1 - Two interacting ellipsoidal inhomogeneities
T2 - Applications in geoscience
AU - Bedayat, Houman
AU - Dahi Taleghani, Arash
N1 - Publisher Copyright:
© 2014 Elsevier Ltd.All rights reserved.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - We developed a method and presented it as a Mathematica code to calculate the stress and strain fields inside and outside of two interacting ellipsoidal inhomogeneities with arbitrary orientation with respect to each other, using the Eshelby technique. The Eshelby technique can be used to determine the elastic fields in and around these inhomogeneities. Assuming same material properties for one of the inclusions and the surrounding matrix, this code can be also used for the single inhomogeneity problem. Different geological features like faults and aquifers can be modeled as inhomogeneous inclusions. We start by reviewing Eshelby's solution for a single inclusion, a single inhomogeneity and a double inhomogeneity problem with the required formulation to calculate Eshelby tensors. Then, we describe our code structure and validate it with existing solutions in the literature and present numerical solutions.
AB - We developed a method and presented it as a Mathematica code to calculate the stress and strain fields inside and outside of two interacting ellipsoidal inhomogeneities with arbitrary orientation with respect to each other, using the Eshelby technique. The Eshelby technique can be used to determine the elastic fields in and around these inhomogeneities. Assuming same material properties for one of the inclusions and the surrounding matrix, this code can be also used for the single inhomogeneity problem. Different geological features like faults and aquifers can be modeled as inhomogeneous inclusions. We start by reviewing Eshelby's solution for a single inclusion, a single inhomogeneity and a double inhomogeneity problem with the required formulation to calculate Eshelby tensors. Then, we describe our code structure and validate it with existing solutions in the literature and present numerical solutions.
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U2 - 10.1016/j.cageo.2014.12.003
DO - 10.1016/j.cageo.2014.12.003
M3 - Article
AN - SCOPUS:84920913673
SN - 0098-3004
VL - 76
SP - 72
EP - 79
JO - Computers and Geosciences
JF - Computers and Geosciences
ER -