Paulo de Mattos Pimenta

TL;DR: In this article, a fully nonlinear six-parameter (3 displacements and 3 rotations) shell model is presented for finite deformations together with a triangular shell finite element for the solution of the resulting static boundary value problem.

TL;DR: In this paper, a theoretical framework for coupled thermomechanical deformations of solids, subject to large as well as inelastic deformations, is developed in pursuance of [4] the theoretical framework appertaining to coupled thermomagnetworks, and the essential feature of the analysis is a consistent natural formulation which encompasses also all thermodynamic aspects.

TL;DR: In this paper, an extension of the force density method for the initial shape finding of cable and membrane structures, which leads to the solution of a system of linear equations, is presented, with the aid of the natural approach, and it overcomes the difficulties that the original procedure presents to cope with irregular triangular finite element meshes.

TL;DR: Pimenta et al. as mentioned in this paper presented a fully conserving algorithm for the integration of the equations of motion in nonlinear shell dynamics, where the weak form is constructed via non-orthogonal projection, the time-collocation of which ensures exact conservation of momentum and total energy in the absence of external forces.

TL;DR: In this paper, a topology optimization method (TOM) based on the finite element method is applied to the treatment of lower density regions of structures undergoing large deformations during the design process.