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A displacement-controlled Arc-Length Solution Scheme [dataset]. Open Access

Tracing load-displacement paths in structural mechanics problems is complicated in the presence of critical points of instability where conventional load- or displacement control fails. To deal with this, arc-length methods have been developed since the 1970s, where control is taken over increments of load at these critical points, to allow full transit of the load-displacement path. However, despite their wide use and incorporation into commercial finite element software, conventional arc-length methods still struggle to cope with non-zero displacement constraints. In this paper we present a new displacement-controlled arc-length method that overcomes these shortcomings through a novel scheme of constraints on displacements and reaction forces. The new method is presented in a variety of serving suggestions, and is validated here on six very challenging problems involving truss and continuum finite elements. Despite this paper's focus on structural mechanics, the new procedure can be applied to any problems that involve nonhomogeneous Dirichlet constraints and challenging equilibrium paths.

Descriptions

Resource type

Dataset

Contributors

Creator: Pretti, Giuliano ¹
Creator: Coombs, William ¹
Creator: Augarde, Charles ¹

¹ Durham University, UK

Funder

Engineering and Physical Sciences Research Council

Research methods

Other description

Keyword

Non-linear solvers
Arc-length methods
Boundary conditions
Displacement control
Large deformation mechanics
Snap-back/through

Subject

Structural analysis (Engineering)

Location

Language

English

Cited in

doi:10.1016/j.compstruc.2021.106674

Identifier

ark:/32150/r1rr171x25s
doi:10.15128/r1rr171x25s

Rights

Creative Commons Attribution 4.0 International (CC BY)

Publisher

Durham University

Date Created

File Details

Depositor

G. Pretti

Date Uploaded

7 September 2021, 07:09:11

Date Modified

19 November 2021, 13:11:39

Audit Status

Audits have not yet been run on this file.

Characterization

File format: zip (ZIP Format)

Mime type: application/zip

File size: 45562286

Last modified: 2021:09:10 09:19:06+01:00

Filename: Displ_control_Arc_length_method_Data-r1rr171x25s-version1 (1).zip

Original checksum: 8ec68d4e0dcd20abbb56144a424f7add