Elastic Green’s Function in Anisotropic Bimaterials Considering Interfacial Elasticity

Juan, Pierre -Alexandre; Dingreville, Remi

doi:10.1007/s10659-017-9655-0

Elastic Green’s Function in Anisotropic Bimaterials Considering Interfacial Elasticity

Journal Article · Wed Sep 13 00:00:00 EDT 2017 · Journal of Elasticity

DOI:https://doi.org/10.1007/s10659-017-9655-0· OSTI ID:1399566

Juan, Pierre -Alexandre ^[1]; ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1399566

Report Number(s):: SAND--2017-8749J; 656283

Journal Information:: Journal of Elasticity, Journal Name: Journal of Elasticity Journal Issue: 2 Vol. 131; ISSN 0374-3535

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
Anisotropic
Dislocation
Green’s function
Interface
Stroh formalism

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