Path-following of growth mechanics in thin biological tissues by efficient 3-DOF and 7-DOF isogeometric shell models with exact tangent operators

We present an isogeometric shell framework for the simulation of growth mechanics in thin biological tissues. Two alternative shell kinematic models are considered: a 7-DOF solid-shell model and a 3-DOF Kirchhoff–Love model. Growth at large strains is modeled via the multiplicative decomposition of the deformation gradient and both compressible and incompressible hyperelastic materials. The 7-DOF model naturally supports fully three-dimensional constitutive laws, while the 3-DOF model is gene...

Element-level elastoplastic integration for hybrid finite elements via physics-informed neural networks

Hybrid finite elements have proved highly accurate in plasticity problems, particularly when the assumed stress interpolation satisfies the equilibrium equations a priori. However, enforcing plastic admissibility in these formulations requires element-level constitutive updates, typically involving constrained local optimisation problems whose cost increases with the number of stress parameters and control points.This work proposes an unsupervised physics-informed neural network surrogate to ...

An isogeometric solid-shell framework for transient thermal and thermo-mechanical large-deformation analysis of homogeneous and multilayered shells

This work presents an isogeometric solid-shell framework for transient thermo-mechanical analysis of homogeneous and multilayered thin-walled structures under large deformations and thermally induced buckling. The main contribution is a generalized shell model for both heat conduction and thermoelasticity: by introducing a piecewise-linear through-thickness representation within each layer, the governing equations are reformulated in terms of generalized through-thickness quantities that depe...

“Becoming-Tree, Becoming-Human. The Experience of Gianfranco Baruchello’s Agricola Cornelia”