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Title: Elastic Green’s Function in Anisotropic Bimaterials Considering Interfacial Elasticity

Abstract

Here, the two-dimensional elastic Green’s function is calculated for a general anisotropic elastic bimaterial containing a line dislocation and a concentrated force while accounting for the interfacial structure by means of a generalized interfacial elasticity paradigm. The introduction of the interface elasticity model gives rise to boundary conditions that are effectively equivalent to those of a weakly bounded interface. The equations of elastic equilibrium are solved by complex variable techniques and the method of analytical continuation. The solution is decomposed into the sum of the Green’s function corresponding to the perfectly bonded interface and a perturbation term corresponding to the complex coupling nature between the interface structure and a line dislocation/concentrated force. Such construct can be implemented into the boundary integral equations and the boundary element method for analysis of nano-layered structures and epitaxial systems where the interface structure plays an important role.

Authors:
 [1]; ORCiD logo [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1399566
Report Number(s):
SAND-2017-8749J
Journal ID: ISSN 0374-3535; 656283
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Elasticity
Additional Journal Information:
Journal Volume: 131; Journal Issue: 2; Journal ID: ISSN 0374-3535
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Interface; Dislocation; Anisotropic; Stroh formalism; Green’s function

Citation Formats

Juan, Pierre -Alexandre, and Dingreville, Remi. Elastic Green’s Function in Anisotropic Bimaterials Considering Interfacial Elasticity. United States: N. p., 2017. Web. doi:10.1007/s10659-017-9655-0.
Juan, Pierre -Alexandre, & Dingreville, Remi. Elastic Green’s Function in Anisotropic Bimaterials Considering Interfacial Elasticity. United States. doi:10.1007/s10659-017-9655-0.
Juan, Pierre -Alexandre, and Dingreville, Remi. Wed . "Elastic Green’s Function in Anisotropic Bimaterials Considering Interfacial Elasticity". United States. doi:10.1007/s10659-017-9655-0. https://www.osti.gov/servlets/purl/1399566.
@article{osti_1399566,
title = {Elastic Green’s Function in Anisotropic Bimaterials Considering Interfacial Elasticity},
author = {Juan, Pierre -Alexandre and Dingreville, Remi},
abstractNote = {Here, the two-dimensional elastic Green’s function is calculated for a general anisotropic elastic bimaterial containing a line dislocation and a concentrated force while accounting for the interfacial structure by means of a generalized interfacial elasticity paradigm. The introduction of the interface elasticity model gives rise to boundary conditions that are effectively equivalent to those of a weakly bounded interface. The equations of elastic equilibrium are solved by complex variable techniques and the method of analytical continuation. The solution is decomposed into the sum of the Green’s function corresponding to the perfectly bonded interface and a perturbation term corresponding to the complex coupling nature between the interface structure and a line dislocation/concentrated force. Such construct can be implemented into the boundary integral equations and the boundary element method for analysis of nano-layered structures and epitaxial systems where the interface structure plays an important role.},
doi = {10.1007/s10659-017-9655-0},
journal = {Journal of Elasticity},
number = 2,
volume = 131,
place = {United States},
year = {Wed Sep 13 00:00:00 EDT 2017},
month = {Wed Sep 13 00:00:00 EDT 2017}
}

Journal Article:
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