Fiber-matrix Contact Stress Analysis for Elastic 2D Composite Solids

Abstract

This paper presents a finite element formulation for the analysis of two dimensional reinforced elastic solids developing both small and large deformations without increasing the number of degrees of freedom. Fibers are spread inside the domain without the necessity of node coincidence. Contact stress analysis is carried out for both straight and curved elements via two different strategies. The first employs consistent differential relations and the second adopts a simple average calculation. The development of all equations is described along the paper. Numerical examples are employed to demonstrate the behavior of the proposed methodology and to compare the contact stress results for both calculations.

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.…”

A positional formulation of the embedded bar with uniaxial, shear and flexural stiffness for the reinforced concrete analysis considering physical nonlinearities

“…Taking into account the last approach and the positional finite element formulation, the distribution of the contact stress between fiber and matrix is studied and available by Paccola et al (2014). Sampaio et al (2015) enhances the application of this numerical model for the analysis of fiber reinforced laminated plates and shells.…”

“…The initial formulation idea showed and used in the present studies was defined by Vanalli et al (2008). Paccola et al (2014) and Sampaio et al (2015) also enhanced the formulation applying to study the stress contact between fiber and matrix.…”