Gradient-enriched finite element methodology for axisymmetric problems
نویسندگان
چکیده
منابع مشابه
A NURBS-based interface-enriched generalized finite element method for problems with complex discontinuous gradient fields
A non-uniform rational B-splines (NURBS)-based interface-enriched generalized finite element method is introduced to solve problems with complex discontinuous gradient fields observed in the structural and thermal analysis of the heterogeneous materials. The presented method utilizes generalized degrees of freedom and enrichment functions based on NURBS to capture the solution with non-conformi...
متن کاملGradient Recovery in Adaptive Finite Element Methods for Parabolic Problems
Abstract. We derive energy-norm a posteriori error bounds, using gradient recovery (ZZ) estimators to control the spatial error, for fully discrete schemes for the linear heat equation. This appears to be the first completely rigorous derivation of ZZ estimators for fully discrete schemes for evolution problems, without any restrictive assumption on the timestep size. An essential tool for the ...
متن کاملGradient-finite Element Method for Nonlinear Neumann Problems
We consider the numerical solution of quasilinear elliptic Neumann problems. The basic difficulty is the non-injectivity of the operator, which can be overcome by suitable factorization. We extend the gradient-finite element method (GFEM), introduced earlier by the authors for Dirichlet problems, to the Neumann problem. The algorithm is constructed and its convergence is proved.
متن کاملAnalysis of Axisymmetric and Non-Axisymmetric Stretching of Sheet Metals by the Finite Element Method
Stretching process of sheet metals in both cases of axisymmetric and non-axisymmetric is analyzed. A rigid-plastic, normal anisotrop material is assumed and large strain formulation is applied. Triangular elements are used and stiffness equations of elements are obtained from virtual work principle. These nonlinear equations are linearized by Newton-Raphsons method and are solved by Gaussian el...
متن کاملAnalysis of Axisymmetric and Non-Axisymmetric Stretching of Sheet Metals by the Finite Element Method
Stretching process of sheet metals in both cases of axisymmetric and non-axisymmetric is analyzed. A rigid-plastic, normal anisotrop material is assumed and large strain formulation is applied. Triangular elements are used and stiffness equations of elements are obtained from virtual work principle. These nonlinear equations are linearized by Newton-Raphson's method and are solved by Gaussian e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Mechanica
سال: 2017
ISSN: 0001-5970,1619-6937
DOI: 10.1007/s00707-016-1762-7