Transient computational homogenization for heterogeneous materials under dynamic excitation

134 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, background): “For example, in [98] a split of the micro-scale displacement fluctuation into a steady-sate and a dynamic contribution is proposed, with each component subjected to a different kinematical constraint.”
Roadmap on multiscale materials modeling (2020, background): “has gained momentum (see also section 13), and only few recent approaches have demonstrated success [80, 81].”
An RVE-based multiscale theory of solids with micro-scale inertia and body force effects (2015, background): “[24] Pham K, Kouznetsova VG, Geers MGD.”
A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials (2017, methodology): “This case has recently been treated by an extended version of the transient computational homogenization [134], where the effect of micro-inertia naturally emerges at the macroscopic scale through an enriched field, with an additional macroscopic balance equation [135].”
Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions (2017, background): “Alternatively, computational techniques have obtained the effective dynamic performance even in transient, nonlinear, or inelastic settings [77,78].”