A consistent Timoshenko hysteretic beam finite element model

Research output: Contribution to journalArticle

Abstract

A parametrized Timoshenko hysteretic beam finite element model is developed, using consistent two-node elements, to efficiently simulate the nonlinear behavior of structures. New displacement interpolation functions are derived that satisfy both the exact equilibrium and kinematic conditions. Therefore, nodal strain field continuity is achieved, resulting in a consistent formulation without shear locking effects. Multiaxial interactions are considered through yield/capacity functions and distributed plasticity is accounted for by appropriate hysteretic interpolation functions. The suggested interpolation functions yield constant element matrices that do not require updating throughout the analysis, and the nonlinearities are captured in terms of hysteretic curvatures, axial and shear deformations, which are set to evolve through ordinary differential equations. A computationally efficient solution scheme is also suggested, without requiring any linearization, to straightforwardly solve the resulting system of equations for quasi-static problems. The consistency, efficiency, versatility and validity of the suggested model is explained in detail and demonstrated through several numerical examples and comparisons with experimental data from available tests.

Original languageEnglish (US)
Article number103218
JournalInternational Journal of Non-Linear Mechanics
Volume119
DOIs
StatePublished - Mar 2020

Fingerprint

Timoshenko Beam
Interpolation Function
Finite Element Model
Interpolation
Shear Locking
Shear Deformation
Numerical Comparisons
Efficient Solution
Plasticity
Linearization
System of equations
Updating
Kinematics
Ordinary differential equation
Curvature
Ordinary differential equations
Experimental Data
Nonlinearity
Shear deformation
Numerical Examples

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

@article{b00f515f7b1a4c1988d008650ab72a37,
title = "A consistent Timoshenko hysteretic beam finite element model",
abstract = "A parametrized Timoshenko hysteretic beam finite element model is developed, using consistent two-node elements, to efficiently simulate the nonlinear behavior of structures. New displacement interpolation functions are derived that satisfy both the exact equilibrium and kinematic conditions. Therefore, nodal strain field continuity is achieved, resulting in a consistent formulation without shear locking effects. Multiaxial interactions are considered through yield/capacity functions and distributed plasticity is accounted for by appropriate hysteretic interpolation functions. The suggested interpolation functions yield constant element matrices that do not require updating throughout the analysis, and the nonlinearities are captured in terms of hysteretic curvatures, axial and shear deformations, which are set to evolve through ordinary differential equations. A computationally efficient solution scheme is also suggested, without requiring any linearization, to straightforwardly solve the resulting system of equations for quasi-static problems. The consistency, efficiency, versatility and validity of the suggested model is explained in detail and demonstrated through several numerical examples and comparisons with experimental data from available tests.",
author = "M. Amir and Papakonstantinou, {K. G.} and Warn, {G. P.}",
year = "2020",
month = "3",
doi = "10.1016/j.ijnonlinmec.2019.07.003",
language = "English (US)",
volume = "119",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier Limited",

}

A consistent Timoshenko hysteretic beam finite element model. / Amir, M.; Papakonstantinou, K. G.; Warn, G. P.

In: International Journal of Non-Linear Mechanics, Vol. 119, 103218, 03.2020.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A consistent Timoshenko hysteretic beam finite element model

AU - Amir, M.

AU - Papakonstantinou, K. G.

AU - Warn, G. P.

PY - 2020/3

Y1 - 2020/3

N2 - A parametrized Timoshenko hysteretic beam finite element model is developed, using consistent two-node elements, to efficiently simulate the nonlinear behavior of structures. New displacement interpolation functions are derived that satisfy both the exact equilibrium and kinematic conditions. Therefore, nodal strain field continuity is achieved, resulting in a consistent formulation without shear locking effects. Multiaxial interactions are considered through yield/capacity functions and distributed plasticity is accounted for by appropriate hysteretic interpolation functions. The suggested interpolation functions yield constant element matrices that do not require updating throughout the analysis, and the nonlinearities are captured in terms of hysteretic curvatures, axial and shear deformations, which are set to evolve through ordinary differential equations. A computationally efficient solution scheme is also suggested, without requiring any linearization, to straightforwardly solve the resulting system of equations for quasi-static problems. The consistency, efficiency, versatility and validity of the suggested model is explained in detail and demonstrated through several numerical examples and comparisons with experimental data from available tests.

AB - A parametrized Timoshenko hysteretic beam finite element model is developed, using consistent two-node elements, to efficiently simulate the nonlinear behavior of structures. New displacement interpolation functions are derived that satisfy both the exact equilibrium and kinematic conditions. Therefore, nodal strain field continuity is achieved, resulting in a consistent formulation without shear locking effects. Multiaxial interactions are considered through yield/capacity functions and distributed plasticity is accounted for by appropriate hysteretic interpolation functions. The suggested interpolation functions yield constant element matrices that do not require updating throughout the analysis, and the nonlinearities are captured in terms of hysteretic curvatures, axial and shear deformations, which are set to evolve through ordinary differential equations. A computationally efficient solution scheme is also suggested, without requiring any linearization, to straightforwardly solve the resulting system of equations for quasi-static problems. The consistency, efficiency, versatility and validity of the suggested model is explained in detail and demonstrated through several numerical examples and comparisons with experimental data from available tests.

UR - http://www.scopus.com/inward/record.url?scp=85075181299&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85075181299&partnerID=8YFLogxK

U2 - 10.1016/j.ijnonlinmec.2019.07.003

DO - 10.1016/j.ijnonlinmec.2019.07.003

M3 - Article

AN - SCOPUS:85075181299

VL - 119

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

M1 - 103218

ER -