This paper presents a critical review of the nonlinear dynamics of hyperelastic structures.
Hyperelastic structures often undergo large strains when subjected to external time …

In the present work, two machine learning based constitutive models for finite deformations
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …

In this paper we propose a formulation of polyconvex anisotropic hyperelasticity at finite
strains. The main goal is the representation of the governing constitutive equations within …

Though many'finite element'books exist, this book provides a unique focus on developing
the method for three-dimensional, industrial problems. This is significant as many methods …

In the present paper we propose a set of orthotropic and transversely isotropic strain energy
functions that (a) are polyconvex,(b) are proved to be coercive and (c) satisfy a priori the …

This work investigates the capabilities of anisotropic theory-based, purely data-driven and
hybrid approaches to model the homogenized constitutive behavior of cubic lattice …

In the present study, a geometrically nonlinear theory for circular cylindrical shells made of
incompressible hyperelastic materials is developed. The 9-parameter theory is higher-order …

The present study addresses constitutive modelling and implementation of transversely
isotropic hyper‐elastic material models for the analysis of the mitral valve. This valve …

We present a model for incompressible finite strain orthotropic hyperelasticity using
logarithmic strains. The model does not have a prescribed shape. Instead, the energy …

We present a machine learning framework to train and validate neural networks to predict
the anisotropic elastic response of a monoclinic organic molecular crystal known as β β …