Rogelio Ortigosa

TL;DR: In this paper, the deformation gradient (the fibre map), its adjoint (the area map) and its determinant (the volume map) are introduced as independent kinematic variables of a convex strain energy function.

TL;DR: In this article, a new computational framework for the analysis of large strain fast solid dynamics is introduced, where a first order system of hyperbolic equations is introduced for the simulation of isothermal elastic materials in terms of the linear momentum, the deformation gradient and its Jacobian as unknown variables.

TL;DR: In this article, the tensor cross product is used to model the elasticity of polyconvex elasticity and the area and volume maps between reference and final configurations, together with the fiber map, which make up the fundamental kinematic variables in elasticity, leading to new formulas for the spatial and material stress and their corresponding elasticity tensors.

TL;DR: In this paper, a convex multi-variable variational framework for the analysis of Electro Active Polymers (EAPs) in the context of reversible nonlinear electro-elasticity is proposed.

TL;DR: A novel formulation for finite strain polyconvex elasticity is presented by introducing a new anisotropic split based on the principal invariants of the right Cauchy–Green tensor, which always ensures polyconcexity of the resulting strain energy function.