ADAPTIVE DYNAMIC RELAXATION ALGORITHM FOR NONLINEAR HYPERELASTIC STRUCTURES .1. FORMULATION

Authors
OAKLEY DR KNIGHT NF
Citation
Dr. Oakley et Nf. Knight, ADAPTIVE DYNAMIC RELAXATION ALGORITHM FOR NONLINEAR HYPERELASTIC STRUCTURES .1. FORMULATION, Computer methods in applied mechanics and engineering, 126(1-2), 1995, pp. 67-89
Citations number
45
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
126
Issue
1-2
Year of publication
1995
Pages
67 - 89
Database
ISI
SICI code
0045-7825(1995)126:1-2<67:ADRAFN>2.0.ZU;2-0
Abstract
The formulation of an Adaptive Dynamic Relaxation algorithm with appli cation to non-linear hyperelastic structures is presented. A complete derivation of the Dynamic Relaxation method is given, and the adaptive scheme used to ensure reliability and improve performance is describe d. Finite element equations are derived for the non-linear analysis of elastic and hyperelastic solids subject to large deformations. The hy perelastic material is assumed to be nearly incompressible, and it is modeled using the Mooney-Rivlin material law using a penalty method to enforce incompressibility. A very simple and efficient contact algori thm based on solver constraints is developed to enforce frictionless c ontact conditions.