This study extends efforts to incorporate spatial dispersion into Biot-Allard's theory, with a focus on poroelastic media with intricate microgeometries where spatial dispersion effects play a significant role. While preserving Biot's small-scale quasi-"en-bloc" frame motion to keep the structure of Biot-Allard's theory intact, the paper challenges...
Shell structures represent efficient structural systems. Integrating materials with distinct properties, such as composites, can further enhance the structural performance of shells. These composite shell structures find application in various engineering fields, ranging from aerospace to civil engineering, providing a balance between strength and ...
We revisit the problem of optimising (either maximising or minimising) the total biomass or wider classes of criteria in logistic-diffusive models. Since [24], a lot of effort has been devoted to the qualitative understanding of the following question: how should one spread resources in order to maximise or minimise the total biomass? This question...
L’impact environnemental devient un sujet de plus en plus important dans l’industrie automobile, ce qui pousse les constructeurs à réduire les émissions de CO2 à travers des motorisations propres et à travers l’allègement des structures. Les matériaux composites, associant légèreté et résistance mécanique, présentent une bonne alternative aux acier...
Structures that are 3D printed by an extrusion process have periodic geometrical heterogeneity whose influence on the final stiffness properties is not extensively discussed in the existing literature. The objective of this article is to quantify the effect of local lace geometry on the anisotropy of extrusion-based 3d printed structures. A numeric...
The foundation of homogenisation methods rests on the postulate of Hill–Mandel, describing energy consistency throughout the transition of scales. The consideration of this principle is therefore crucial in the discipline of Digital Rock Physics which focuses on the upscaling of rock properties. For this reason, numerous studies have developed nume...
Computational models in cardiac electrophysiology are notorious for long runtimes, restricting the numbers of nodes and mesh elements in the numerical discretisations used for their solution. This makes it particularly challenging to incorporate structural heterogeneities on small spatial scales, preventing a full understanding of the critical arrh...
Published in Communications in Nonlinear Science & Numerical Simulation
• Upscaling for feasible simulation of microscale fibrosis in cardiac electrophysiology • Practical consideration of upscaling for dynamics of sharp-fronted travelling waves • Demonstrated recovery of pro-arrhythmic effects of fibrosis in upscaled models • Selection of boundary conditions to balance numerical and upscaling errors • Significant spee...
This work deals with the multi-scale topology optimisation (TO) of multi-material lattice structures. The proposed approach is based on: non-uniform rational basis spline (NURBS) hyper-surfaces to represent the geometric descriptor related to each material phase composing the representative volume element (RVE), an improved multiphase material inte...
Mastering direct manufacturing processes of composite materials leads to numerically model transient two-phase flows in fibrous media. These flows must be studied at the local scale, corresponding to the scale of the fibres, and then homogenised in order to feed macroscopic industrial models. Random representative fibrous microstructures are numeri...
