An isogeometric finite element formulation for boundary and shell viscoelasticity based on a multiplicative surface deformation split

An Efficient Finite Element Formulation Based on Deformation Approach for Bending of Functionally Graded Beams

Finite element formulations based generally on classical beam theories such as Euler-Bernoulli or Timoshenko. Sometimes, these two formulations could be problematic expressed in terms of restrictions of Euler-Bernoulli beam theory, in case of thicker beams due to non-consideration of transverse shear; phenomenon that is known as shear locking characterized the Timoshenko beam theory, in case of...

An Efficient Strain Based Cylindrical Shell Finite Element

The need for compatibility between degrees of freedom of various elements is a major problem encountered in practice during the modeling of complex structures; the problem is generally solved by an additional rotational degree of freedom [1-3]. This present paper investigates possible improvements to the performances of strain based cylindrical shell finite element [4] by introducing an additio...

An ’a Priori’ Model Reduction for Isogeometric Boundary Element Method

An Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements

In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...

A boundary element model for nonlinear viscoelasticity

The boundary element methodology is applied to the analysis of non-linear viscoelastic solids. The adopted non-linear model uses the same relaxation moduli as the respective linear relations but with a time shift depending on the volumetric strain. Nonlinearity introduces an irreducible domain integral into the original integral equation derived for linear viscoelastic solids. This necessitates...