FAQ

ADAPTIVE UNSTRUCTURED SOLUTION TO THE PROBLEM OF
ELASTIC-PLASTIC HARDENING TWIST OF PRISMATIC BARS

Data publikacji: 09.02.2015

Czasopismo Techniczne, 2014, Nauki Podstawowe Zeszyt 2 NP (16) 2014, s. 63 - 79

https://doi.org/10.4467/2353737XCT.14.301.3389

Autorzy

Jan Kucwaj
Institute of Computer Science, Cracow University of Technology
Wszystkie publikacje autora →

Tytuły

ADAPTIVE UNSTRUCTURED SOLUTION TO THE PROBLEM OF
ELASTIC-PLASTIC HARDENING TWIST OF PRISMATIC BARS

Abstrakt

This paper presents the appliction of a remeshing algorithm to solution of elastic-plastic torsion of bars with isotropic strain hardening. The remeshing algorithm uses a grid generator with mesh size function [7]. The method of grid generation is based on a coupling of the advancing front method and the Delaunay triangulation. The optimal mesh size for the posed problem is obtained iteratively. For the consequtive steps of the adaptation algorithm error indicators at nodes and in elements are used for mesh size modification. The discretized system of nonlinear algebraic equations is solved by the application of the Newton-Raphson method.

Bibliografia

Bank R., Sherman A. and Weiser A., Some Refinement Algorithms And Data Structures for Regular Local Mesh Refinement. Scientific Computing IMACS, 1983.

Bieterman M.B., Busseletti J.E., Hilmes C.L., Johnson F.T., Melvin R.G., Young D.P., An adaptive grid method for analysis of 3D aircraft configurations, The Boeing Company Seattle, Technical Report, Washington 1991.

Borouchaki H., Hecht F., Frey P.J., Mesh gradation control, Int. J. Num. Meth. in Engng, 43, 1998 1143—1165.

Huerta A., Diez P., Error estimation including pollution assessment for nonlinear finite element analysis, Comp. Meth. Appl. Mech. Engng, 181, 2000 21—41,.

Kachanov L. M., Fundamentals of plasticity theory of plasticity, Dover Publications Inc., 2004, 479p. (ISBN 0-486-43583-0), Mineola, NY, USA. Moscow 1968.

Thompson J.F., Soni B. K., Weatherwill N.P., Handbook of Grid Generation, CRC Press, Boca Raton, 1999.

Kucwaj J., The Algorithm of Adaptation by Using Graded Meshes Generator, Computer Assisted Mechanics and Engineering Sciences, 7, 2000, 615—624.

Kucwaj J., Numerical Investigations of the Covergence of a Remeshing Algorithm on an Example of Subsonic Flow, Computer Assisted Mechanics and Engineering Sciences, 17, 2010, 147—160.

Lo S. H., Finite element mesh generation and adaptive meshing , Progress in Structural Engineering and Materials, 4 2002, 381—399.

Oden J.T., Demkowicz L., Rachowicz W., Westermann T.A., Towards a universal h-p adaptive finite element strategy, part 2, Aposteriori error estimation, Comp. Meth. Appl. Mech. Engng., 77, 1989, 113—180.

Rachowicz W., An anisotropic h-type mesh-refinement strategy, Comp. Meth. Appl. Mech. Engng, 109 1993, 169—181.

Zienkiewicz O.C., Taylor R.L., The Finite Element Method, 4-th edition, vol. 1, Basic Formulation and Linear Problems, McGraw-Hill Book Company, London, Washington 1989.

Zienkiewicz O.C.,Achievements and some unsolved problems of the finite element method, Int. J. Num. Meth. Engng, 47, 2000, 9—28.

Zienkiewicz O.C., Zhu J.Z., Adaptivity and mesh generation, Int. J. Num. Meth. Engng., 32, 1991, 783—810.

MAdLib: an open source Mesh Adaptation Library, http://sites.uclouvain.be/madlib/ 2010.

Informacje

Informacje: Czasopismo Techniczne, 2014, Nauki Podstawowe Zeszyt 2 NP (16) 2014, s. 63 - 79

Typ artykułu: Oryginalny artykuł naukowy

Tytuły:

Polski:

ADAPTIVE UNSTRUCTURED SOLUTION TO THE PROBLEM OF
ELASTIC-PLASTIC HARDENING TWIST OF PRISMATIC BARS

Angielski:

ADAPTIVE UNSTRUCTURED SOLUTION TO THE PROBLEM OF
ELASTIC-PLASTIC HARDENING TWIST OF PRISMATIC BARS

Autorzy

Institute of Computer Science, Cracow University of Technology

Publikacja: 09.02.2015

Status artykułu: Otwarte __T_UNLOCK

Licencja: Żadna

Udział procentowy autorów:

Jan Kucwaj (Autor) - 100%

Korekty artykułu:

-

Języki publikacji:

Angielski