A rigid curvilinear inclusion partially bonded in an elastic matrix

1990 ◽  
Vol 28 (10) ◽  
pp. 1083
Author(s):  
Vincent Monchiet ◽  
Guy Bonnet

In this paper, the derivation of irreducible bases for a class of isotropic 2 n th-order tensors having particular ‘minor symmetries’ is presented. The methodology used for obtaining these bases consists of extending the concept of deviatoric and spherical parts, commonly used for second-order tensors, to the case of an n th-order tensor. It is shown that these bases are useful for effecting the classical tensorial operations and especially the inversion of a 2 n th-order tensor. Finally, the formalism introduced in this study is applied for obtaining the closed-form expression of the strain field within a spherical inclusion embedded in an infinite elastic matrix and subjected to linear or quadratic polynomial remote strain fields.


2016 ◽  
pp. 31-80 ◽  
Author(s):  
Beth Kozel ◽  
Dirk Hubmacher
Keyword(s):  

1990 ◽  
Vol 226 (3) ◽  
pp. 347-359 ◽  
Author(s):  
Thomas H. Rosenquist ◽  
Arthur C. Beall ◽  
Lászlo Módis ◽  
Richard Fishman

2000 ◽  
Vol 48 (4) ◽  
pp. 827-865 ◽  
Author(s):  
L.I. Slepyan ◽  
V.I. Krylov ◽  
R. Parnes
Keyword(s):  

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