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


AKAY A. A., GÖKTEPE S., GÜRSES E.

3rd International Workshop on Plasticity, Damage and Fracture of Engineering Materials, IWPDF 2023, İstanbul, Turkey, 4 - 06 October 2023, vol.61, pp.138-147, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 61
  • Doi Number: 10.1016/j.prostr.2024.06.019
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.138-147
  • Keywords: bilinear traction-seperation interface law, Boundary element method, homogenization, linear displacement boundary condition, periodic displacement boundary condition, uniform traction boundary condition
  • Middle East Technical University Affiliated: Yes

Abstract

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.