Consistent tangent stiffness for nonlocal damage models

This paper deals with the computational analysis of strain localization problems using nonlocal continuum damage models of the integral type. The general framework for a consistent derivation of the “nonlocal” tangent stiffness is presented. The properties of the tangent stiffness matrix are discuss...

Full description

Saved in:
Bibliographic Details
Published inComputers & structures Vol. 80; no. 14; pp. 1279 - 1293
Main Authors Jirasek, M, Patzak, B
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2002
Subjects
Damage
Iterative solvers
Localization
Newton–Raphson method
Nonlocal continuum
Quasibrittle materials
Iterative solvers
Damage
Localization
Quasibrittle materials
Newton–Raphson method
Nonlocal continuum
Online AccessGet full text

Cover

More Information
Summary:This paper deals with the computational analysis of strain localization problems using nonlocal continuum damage models of the integral type. The general framework for a consistent derivation of the “nonlocal” tangent stiffness is presented. The properties of the tangent stiffness matrix are discussed and the corresponding assembly procedure is described. The quadratic rate of convergence of the Newton–Raphson iteration procedure is demonstrated and the efficiency of the proposed technique is compared to the standard approach based on the secant or elastic stiffness matrices. In this context, performance of direct and iterative solvers for the linearized equilibrium equations is also examined.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7949
1879-2243
DOI:10.1016/S0045-7949(02)00078-0