A simple and general algorithm for integration of numerical models in plasticity

Abstract We describe an algorithm to be used for the numerical integration of plasticity models in finite element or finite difference codes. The algorithm is simple to code and implement. It is presented here for a generic form of plasticity model encompassing both single and multiple yield surfaces, and it is readily adaptable to more complex models. Three examples are given to demonstrate the efficacy of the algorithm in controlling integration errors.

Authors

Institutions

Publication Details

Journal
Archive of Applied Mechanics
Published
2025-04-16
DOI
https://doi.org/10.1007/s00419-025-02804-9
Primary Topic
Soil, Finite Element Methods
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A simple and general algorithm for integration of numerical models in plasticity

Miad Saberi, G. T. Houlsby
Archive of Applied Mechanics
Soil, Finite Element Methods
article

A simple and general algorithm for integration of numerical models in plasticity

Miad Saberi, G. T. Houlsby
article en

Abstract

Abstract We describe an algorithm to be used for the numerical integration of plasticity models in finite element or finite difference codes. The algorithm is simple to code and implement. It is presented here for a generic form of plasticity model encompassing both single and multiple yield surfaces, and it is readily adaptable to more complex models. Three examples are given to demonstrate the efficacy of the algorithm in controlling integration errors.

Archive of Applied MechanicsVol. 95(5)
University of Oxford (GB), Science Oxford (GB)
Openalex Percentile: Top 92%
Soil, Finite Element Methods
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.