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Exact integration of constitutive equations in elasto-plasticity

Ristinmaa, Matti LU orcid and Tryding, Johan LU orcid (1993) In International Journal for Numerical Methods in Engineering 36(15). p.2525-2544
Abstract
A unified approach is presented for establishing exact integration of the constitutive equations in elastoplasticity, assuming the total strain-rate direction to be constant. This unified approach includes all previous exact integration procedures as special cases and, in addition, some new closed-form solutions are derived for combined kinematic and isotropic hardening. Special emphasis is laid on combined kinematic and isotropic hardening for von Mises' material and on isotropic hardening for Mohr-Coulomb and Tresca materials.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Closed form solutions, Constitutive equations, Isotropic hardening, Kinematic hardening, Mohr Coulomb materials, Tresca materials, von Mises' materials, Finite element method
in
International Journal for Numerical Methods in Engineering
volume
36
issue
15
pages
2525 - 2544
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:0027642171
ISSN
1097-0207
DOI
10.1002/nme.1620361503
language
English
LU publication?
yes
id
0ee4cba8-59f8-47e1-b6ac-72d15f84109a (old id 5153475)
date added to LUP
2016-04-01 12:32:58
date last changed
2025-10-14 10:13:00
@article{0ee4cba8-59f8-47e1-b6ac-72d15f84109a,
  abstract     = {{A unified approach is presented for establishing exact integration of the constitutive equations in elastoplasticity, assuming the total strain-rate direction to be constant. This unified approach includes all previous exact integration procedures as special cases and, in addition, some new closed-form solutions are derived for combined kinematic and isotropic hardening. Special emphasis is laid on combined kinematic and isotropic hardening for von Mises' material and on isotropic hardening for Mohr-Coulomb and Tresca materials.}},
  author       = {{Ristinmaa, Matti and Tryding, Johan}},
  issn         = {{1097-0207}},
  keywords     = {{Closed form solutions; Constitutive equations; Isotropic hardening; Kinematic hardening; Mohr Coulomb materials; Tresca materials; von Mises' materials; Finite element method}},
  language     = {{eng}},
  number       = {{15}},
  pages        = {{2525--2544}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{International Journal for Numerical Methods in Engineering}},
  title        = {{Exact integration of constitutive equations in elasto-plasticity}},
  url          = {{http://dx.doi.org/10.1002/nme.1620361503}},
  doi          = {{10.1002/nme.1620361503}},
  volume       = {{36}},
  year         = {{1993}},
}