We present a numerical implementation of a model for void coalescence and fracture in
nonlinear elasticity. The model is similar to the Ambrosio–Tortorelli regularization of the …

The approximation properties of a quadratic iso-parametric finite element method for a
typical cavitation problem in nonlinear elasticity in two dimensions are analyzed. More …

A mixed finite element method combining an iso-parametric $ Q_2 $-$ P_1 $ element and
an iso-parametric $ P_2^+ $-$ P_1 $ element is developed for the computation of multiple …

This paper proposes a Fourier-Legendre spectral method to find the minimizers of a
variational problem, called $\sigma _ {2, p} $-energy, in polar coordinates. Let ${\mathbb …

A Fourier-Chebyshev spectral method is proposed in this paper for solving the cavitation
problem in nonlinear elasticity. The interpolation error for the cavitation solution is analyzed …

A reduced/selective integration finite element method coupled with a gradient flow method is
introduced for the cavitation computation in nearly incompressible nonlinear elasticity …

A mixed finite element method (MFEM), using dual-parametric piecewise bi-quadratic and
affine (DP-Q2-P1) finite element approximations for the deformation and the pressure like …

The orientation-preservation condition, ie, the Jacobian determinant of the deformation
gradient det∇ u being required to be positive, is a natural physical constraint in elasticity as …

In this paper, we present the numerical analysis on high order dual parametric finite element
methods for the cavitation computation problems in nonlinear elasticity, which leads to a …

A numerical study on a new bifurcation phenomenon in multi-void growth is carried out for a
2-D problem in nonlinear elasticity, where the reference configuration is y-axisymmetric with …