Details
| Original language | English |
|---|---|
| Pages (from-to) | 963-976 |
| Number of pages | 14 |
| Journal | Communications in Numerical Methods in Engineering |
| Volume | 13 |
| Issue number | 12 |
| Publication status | Published - 4 Dec 1998 |
| Externally published | Yes |
Abstract
A two-dimensional finite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for finite deformation problems with large elastic and plastic strains. An efficient return mapping algorithm and the corresponding consistent tangent are derived and applied to plane stress problems. Two examples show the performance of the proposed formulation.
Keywords
- Finite strain plasticity, Finite stress, Plane stress
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Communications in Numerical Methods in Engineering, Vol. 13, No. 12, 04.12.1998, p. 963-976.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A finite element method for plane stress problems with large elastic and plastic deformations
AU - Kirchner, E.
AU - Reese, S. T.
AU - Wriggers, P.
PY - 1998/12/4
Y1 - 1998/12/4
N2 - A two-dimensional finite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for finite deformation problems with large elastic and plastic strains. An efficient return mapping algorithm and the corresponding consistent tangent are derived and applied to plane stress problems. Two examples show the performance of the proposed formulation.
AB - A two-dimensional finite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for finite deformation problems with large elastic and plastic strains. An efficient return mapping algorithm and the corresponding consistent tangent are derived and applied to plane stress problems. Two examples show the performance of the proposed formulation.
KW - Finite strain plasticity
KW - Finite stress
KW - Plane stress
UR - http://www.scopus.com/inward/record.url?scp=0031360075&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1099-0887(199712)13:12<963::AID-CNM115>3.0.CO;2-3
DO - 10.1002/(SICI)1099-0887(199712)13:12<963::AID-CNM115>3.0.CO;2-3
M3 - Article
AN - SCOPUS:0031360075
VL - 13
SP - 963
EP - 976
JO - Communications in Numerical Methods in Engineering
JF - Communications in Numerical Methods in Engineering
SN - 1069-8299
IS - 12
ER -