A three-dimensional plasticity-damage constitutive model for timber under cyclic loads
File(s)
Accepted version
Author(s)
Sirumbal-Zapata, LF
Málaga-Chuquitaype, C
Elghazouli, AY
Type
Journal Article
Abstract
The performance of timber structures is governed by the nonlinear response at their connections, where high deformation levels and stress concentrations are developed, particularly when subjected to load reversals. To date, no constitutive model for wood under cyclic load exists which is able to incorporate its most important failure modes while considering plastic deformations and cyclic stiffness and strength degradation simultaneously. This paper presents the formulation and implementation of a plasticity-damage model with these characteristics within a continuum mechanics approach. The theoretical framework of both plasticity and damage models is described, and a detailed derivation of the constitutive equations required for their computational implementation and coupling as well as the return mapping and iterative algorithms for their integration are presented. The damage evolution process is handled by two independent scalar variables for tension and compression. A general orthotropic plasticity yield surface with isotropic hardening is employed to incorporate timber plastic flow in compression. A closed-form expression for the plasticity-damage consistent tangent operator is derived. It is demonstrated that the proposed constitutive model captures all the key characteristics required for an accurate modelling of timber under large deformation levels until failure.
Date Issued
2018-01-15
Date Acceptance
2017-09-22
Citation
Computers and Structures, 2018, 195 (1), pp.47-63
ISSN
0045-7949
Publisher
Elsevier
Start Page
47
End Page
63
Journal / Book Title
Computers and Structures
Volume
195
Issue
1
Copyright Statement
© 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S0045794917308532?via%3Dihub
Subjects
Science & Technology
Technology
Computer Science, Interdisciplinary Applications
Engineering, Civil
Computer Science
Engineering
Timber
Plasticity
Continuum damage mechanics
Orthotropy
Cyclic loading
Numerical algorithm
HOFFMAN YIELD CRITERION
CONCRETE STRUCTURES
ANISOTROPIC DAMAGE
DOWEL CONNECTIONS
FAILURE
MECHANICS
BEHAVIOR
FORMULATION
09 Engineering
Applied Mathematics
Publication Status
Published
Date Publish Online
2017-10-31