5 papers
A Mixed Finite Element Method for Multi-Cavity Computation in Incompressible Nonlinear Elasticity
Weijie Huang, Zhiping Li
A mixed finite element method combining an iso-parametric - element and an iso-parametric - element is developed for the computation of multiple cavities in i…
A Locking-free DP-Q2-P1 MFEM for Incompressible Nonlinear Elasticity Problems
Weijie Huang, Zhiping Li
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 Lag…
A Fourier-Chebyshev Spectral Method for Cavitation Computation in Nonlinear Elasticity
Liang Wei, Zhiping Li
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 ana…
A Meshing Strategy for a Quadratic Iso-parametric FEM in Cavitation Computation in Nonlinear Elasticity
Chunmei Su, Zhiping Li
The approximation properties of a quadratic iso-parametric finite element method for a typical cavitation problem in nonlinear elasticity are analyzed. More precisely, (1) the fini…
Orientation-Preservation Conditions on an Iso-parametric FEM in Cavitation Computation
Chunmei Su, Zhiping Li
The orientation-preservation condition, i.e., the Jacobian determinant of the deformation gradient is required to be positive, is a natural physical constraint in e…