Eshelby tensors for a spherical inclusion in microelongated elastic fields
Yükleniyor...
Dosyalar
Tarih
2005-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Eshelby tensors are found for a spherical inclusion in a microelongated elastic field. Here. a special micromorphic model is introduced to describe the damaged material which defines the damage as the formation and the growth of microcracks and microvoids occurred in the material at the microstructural level. To determine the new material coefficients of the model, an analogy is established between the damaged body and the composite materials and then Mori-Tanaka homogenization technique is considered to obtain overall material moduli. Following this idea, the determination of the Eshelby tensors which establish the relation between the strains of the matrix material and of the inclusion becomes the first task. Introducing the concept of eigenstrain and microeigenstrain, the general constitutive theory is given for a homogeneous isotropic centrosymmetric microelongated media with defects. Then by the use of Green's functions, micro and macro elastic fields are presented for the case of spherical inclusions embedded in an infinite microelongated material. Thus, the Eshelby tensors are obtained for a microelongated elastic field with a spherical inclusion and it is also shown that the classical Eshelby tensors can be obtained as a limit case of the microelongation.
Açıklama
Anahtar Kelimeler
Average stress, Matrix, Solids, Moduli, Eshelby tensor, Eigenstrain, Micromorphic, Microelongation, Green's functions, Homogenization, Composite materials, Cracks, Defects, Elasticity, Mathematical models, Tensors
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
43
Sayı
1-2
Künye
Kiriş, A. & İnan, E. (2005). Eshelby tensors for a spherical inclusion in microelongated elastic fields. International Journal of Engineering Science, 43(1), 49-58. doi:10.1016/j.ijengsci.2004.06.002
