Computational homogenization of the debonding of particle reinforced composites: The role of interphases in interfaces

Stress-strain response and volume change of a highly filled rubbery composite: Experimental measurements and numerical simulations

“…The satisfactory stress-strain responses obtained by Spring and Paulino (2015) up to a large applied strain of 0.35 for a rubber matrix reinforced with 26% of silica particles have already been discussed in the Introduction in relation with no volume change being reported. In the different context of an elastic-plastic matrix (aluminum) reinforced by rigid particles (tungsten carbide) with damageable interfaces, Segurado (2004) compared finite element simulations using the formulation of Segurado and Lorca (2004) and experimental stress-strain curves.…”

“…These authors compared their model to data from the literature that are lacking evidence of volume change upon stretching: Yatsuyanagi et al (2002) do not mention any volume change, while Suzuki et al (2005) assume matrix debonding at the particles interface based on Gent and Park (1984) observations made on micrometric but not nanometric particles. While, as reported by Spring and Paulino (2015), debonding is evident when particles are of the size of micrometers, it is not clear that rubbers filled with silica nanoparticles experience significant volume changes, especially at strains limited to 35%. Starkova and Aniskevich (2010), for instance, reported against for a similar silica/rubber system.…”

“…Other studies handle three-dimensional random microstructures (Matous et al 2007, for instance, but for small applied strains only) which are more appropriate for elastomers filled with particles. In a recent contribution, Spring and Paulino (2015) run finite element simulations for a rubber matrix moderately filled with silica nanoparticles. While these authors provide an interesting study on the role of the bonded interphase displayed in such filled rubbers (as evidenced by Berriot et al, 2002, for instance), their account for damage at the rubber/silica interface via a cohesive zone model, involving debonding and therefore volume change, is questionable.…”

Polyhedral elements by means of node/edge‐based smoothed finite element method

“…This line of research includes the recent efforts to resolve the issue with the aid of new polyhedral elements , intended for improving accuracy and for enhancing geometric adaptability. Wicke et al .…”

“…In addition, quadrature schemes for polygonal and polyhedral elements were developed [8,9]. Furthermore, the polygonal and polyhedral elements were applied for various practical problems, namely, crack propagation [10-12], reinforced composites [13][14][15], structural topology optimization [16], and so on, and had strong advantages in these fields.In order to overcome difficulties in the element construction and in the numerical integration, this paper is concerned with a new formulation of polyhedral elements based on the smoothed finite element method (S-FEM) [17][18][19][20][21][22][23][24][25][26]. The advantage of this approach is as follows.…”