Formulation of a Bilinear Traction-Separation Interface Law in Boundary Elements with Homogenization

Date

2024-01-01

Author

Akay, Ahmet Arda
Göktepe, Serdar
Gürses, Ercan

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Similar to most conventional composite materials, the interface is generally the weakest part of nanocomposites. For this reason, the behavior of the reinforcement-matrix interface is critical for determining the strength of nanocomposites. Especially in nanocomposites, if no special precautions are taken, the matrix consisting of nano-reinforcements and polymer chains are bound to each other by weak van der Waals interactions and electrostatic interactions. As a result, in most nanocomposites under loading, damage first begins as a separation at the interface. This study focuses on a key aspect of modeling polymer nanocomposites: the interface between the inclusion and the matrix. First, the alternative boundary conditions of homogenization are presented and then implemented into the boundary element method. Afterward, a bilinear interface law between inclusion and matrix is defined in the boundary element-based homogenization method. The homogenized stress response of a heterogeneous Representative Volume Element (RVE) undergoing debonding is compared with numerical studies from the literature. RVEs, including both single and multi-inclusions, are studied. Comparisons are made with the studies related to the modeling interfaces using micromechanics and Mori-Tanaka-based approaches, and boundary element method-based approaches. A good agreement is observed between results.

Subject Keywords

bilinear traction-seperation interface law, Boundary element method, homogenization, linear displacement boundary condition, periodic displacement boundary condition, uniform traction boundary condition

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85200976891&origin=inward
https://hdl.handle.net/11511/110711

DOI

https://doi.org/10.1016/j.prostr.2024.06.019

Conference Name

3rd International Workshop on Plasticity, Damage and Fracture of Engineering Materials, IWPDF 2023

Collections

Department of Aerospace Engineering, Conference / Seminar

Citation Formats

A. A. Akay, S. Göktepe, and E. Gürses, “Formulation of a Bilinear Traction-Separation Interface Law in Boundary Elements with Homogenization,” İstanbul, Türkiye, 2024, vol. 61, Accessed: 00, 2024. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85200976891&origin=inward.