Speaker
Description
Quasi-static homogenisation of two-dimensional periodic networks of elastic rods provides an effective approach to characterising the mechanical properties of the corresponding equivalent continua. In particular, the macroscopic response of the homogenised material can be tailored by tuning the geometrical and mechanical parameters of the underlying network [1,2].
Unusual mechanical behaviours have been reported in this context, including bounded stability domains in the prestress plane for prestressed elastic grids equipped with concentrated sliders [3], and tensile restabilisation in prestressed axially deformable grids [4].
However, the stability of grids composed of prestressed, axially deformable, and shearable rods — and of their homogenised continua — has not yet been investigated.
In this talk, we consider a rectangular network of prestressed Reissner rods, connected by rigid joints of tunable length. The stability domains of both the discrete network and its homogenised elastic continuum are determined and represented in the $p_1-p_2$ prestress plane. The results reveal multiple tensile restabilisation islands beyond the first bifurcation (Figure 1).
References
[1] Franzoi, M., Bigoni, D., Piccolroaz, A. (2026) Homogenization of architected materials incorporating shearable beams. International Journal of Engineering Science, 218:104397
[2] Viviani, L., Bigoni, D., Piccolroaz, A. (2024) Homogenization of elastic grids containing rigid elements. Mechanics of Materials, 191:104933.
[3] Bordiga, G., Bigoni, D., Piccolroaz, A. (2022) Tensile material instabilities in elastic beam lattices lead to a bounded stability domain. Phil. Trans. R. Soc. A, 380:20210388.
[4] Bigoni, D., Piccolroaz, A. (2025) Material instability and subsequent restabilization from homogenization of periodic elastic lattices. Journal of the Mechanics and Physics of Solids, 200:106129.