A geometrically nonlinear FEM formulation for the analysis of fiber reinforced laminated plates and shells

A Simple FEM Formulation Applied to Nonlinear Problems of Impact with Thermomechanical Coupling

“…Greco et al (2012) compares the numerical results of the positional and co-rotational formulation for truss problems. It is also worth mentioning the following studies that use the proposed formulation in non-linear problems: , Greco et al (2013), Reis and Coda (2014), Sampaio et al (2015) and Siqueira and Coda (2016).…”

Geometrical non-linear analysis of fiber reinforced elastic solids considering debounding

“…The first idea that comes in mind is the necessity of assuring at least position conformity between fiber and matrix elements. Therefore a total fibermatrix adherent connection is developed using higher order curved elements [26,33,34]. Fig.…”

“…In this situation it is possible to write the fiber degrees of freedom as function of the matrix finite elements degrees of freedom [26,33,34]. Following this procedure no additional degree of freedom is introduced in the system of equation.…”

“…(34) or (35). Instead of differentiate expressions (35) and (62) regarding n and substituting into (60) and (57) we prefer to calculate nodal values of the normal force using (38), (61) and (62) making:…”

Contribuição para teoria de placas: análises estruturais de compósitos laminados e estruturas sanduíches via formulações unificadas

“…Lastly and very recently, a FE approach for geometrically non-linear problems of fiber reinforced plates and shells was presented by Sampaio, Paccola and Coda (2015). The motivation of this implementation was its ability to model a shell with short or long fibers without having to increase the number of DOFs of the element with the inclusion of the fibers.…”