Mechanically-grown morphogenesis of Voronoi-type materials: Computer design, 3D-printing and experiments

Strain stiffening elastomers with swelling inclusions

“…Recently developed numerical frameworks could readily be tailored to this purpose. 26 In addition, solutions to the exact boundary value problem without homogenization could aid in elucidating additional stiffening effects, such as the pressure acting at the inclusion/matrix interface. These further routes could facilitate to not only qualitatively, but also quantitatively identify different swelling regimes.…”

Numerical estimation via remeshing and analytical modeling of nonlinear elastic composites comprising a large volume fraction of randomly distributed spherical particles or voids

“…These observations are thus in agreement with the present results that show that the monodisperse FE results are stiffer than the differential-scheme results. Note, however, that there exist so many different microstructures that are mono- (Travers et al, 1987;Willot and Jeulin, 2009;Anoukou et al, 2018;Tarantino et al, 2016;Tarantino and Mortensen, 2022), bi- (Pickering et al, 2016;Bele and Deshpande, 2015;Bele et al, 2017) and polydisperse (Zerhouni et al, 2021;Neumann et al, 2020;Hooshmand-Ahoor et al, 2022) with very different responses that none of the classical models may properly model. In this regard, the versatile expression shown in equation ( 8) might allow for a wide range of modeling flexibility by calibration with available numerical or experimental data.…”

“…The present study aims at extending the current available numerical and analytical homogenization results for particle reinforced and porous nonlinear elastic composites to larger volume fractions (as large as 55vol%). We note that large volume fractions of inclusions have actual material applications such as propellants (de Francqueville et al, 2021), cermets (Bele and Deshpande, 2015;Pickering et al, 2016;Tarantino et al, 2016), muscles (Spyrou et al, 2017(Spyrou et al, , 2019 and closed-cell foams (see for instance (Hooshmand-Ahoor et al, 2022)). For our numerical simulations, we generate cubic unit cells with randomly distributed monodis-Figure 1: Maximum effective nominal strain reached in finite element (FE) simulations for uniaxial tensile loading as a function of the particle volume fraction (Brassart et al, 2009;Lopez-Pamies et al, 2013;Jiménez and Pellegrino, 2012;Bouchart et al, 2008;Guo et al, 2007;DeBotton et al, 2006;Yang and Xu, 2009;Khisaeva and Ostoja-Starzewski, 2006;Chi et al, 2015;Meng and Wang, 2015;Leonard et al, 2020;Goudarzi et al, 2015;Guo et al, 2014;Jiménez, 2016;Moraleda et al, 2009).…”

“…by use of the nonlinear comparison approach discussed inShrimali et al (2019). Moreover, the proposed modification may allow to model by further calibration other types of porous materials with different microstructures such as the ones generated inHooshmand-Ahoor et al (2022).…”

Control of Mechanical and Fracture Properties in Two‐Phase Materials Reinforced by Continuous, Irregular Networks

“…[18,19] The combination of multiple toughening mechanisms can also be achieved by fabricating composite materials with irregular reinforcing networks. [20,21] Irregular microstructures are common in biological structural materials [22][23][24][25] and understanding their behavior during loading and fracture is relevant for the design of architected materials with tailored load-bearing performance. Irregular networks can control the fracture and toughening behavior of materials through the creation of meso-scale structures with different dimensions and orientations that cause multiple fracture nucleation and propagation events.…”