Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Miscellanea Vol. 8, No. 29 (2014)

State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization

Author and affiliation details
  • N.A. Nodargi Corresponding author Department of Civil Engineering and Computer Science University of Rome “Tor Vergata”, via del Politecnico 1, 00133 Rome, Italy nodargi@ing.uniroma2.it
  • E. Artioli
  • F. Caselli
  • P. Bisegna
DOI
10.3221/IGF-ESIS.29.11
Pages
pages 111-127
Published
Published inVol. 8, No. 29 (2014)Go to the issue

Abstract

This work presents a new state update algorithm for small-strain associative elastic-plastic constitutive models, treating in a unified manner a wide class of deviatoric yield functions with linear or nonlinear strain-hardening. The algorithm is based on an incremental energy minimization approach, in the framework of generalized standard materials with convex free energy and dissipation potential. An efficient method for the computation of the latter, its gradient and its Hessian is provided, using Haigh-Westergaard stress invariants. Numerical results on a single material point loading history and finite element simulations are reported to prove the effectiveness and the versatility of the method. Its merit turns out to be complementary to the classical return map strategy, because no convergence difficulties arise if the stress is close to high curvature points of the yield surface.

Keywords

Article history

  1. ReceivedUntil the next stage: 0 days
  2. AcceptedUntil the next stage: 0 days
  3. Published

How to cite

APA

Nodargi, N., Artioli, E., Caselli, F., & Bisegna, P. (2014). State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization. Fracture and Structural Integrity, 8(29), pages 111–127. https://doi.org/10.3221/IGF-ESIS.29.11

IEEE

N. Nodargi, E. Artioli, F. Caselli, and P. Bisegna, “State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization,” Fracture and Structural Integrity, vol. 8, no. 29, pp. pages 111–127, 2014, doi: 10.3221/IGF-ESIS.29.11.

MLA

Nodargi, N.A., et al. “State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization.” Fracture and Structural Integrity, vol. 8, no. 29, 2014, pp. pages 111–127. https://doi.org/10.3221/IGF-ESIS.29.11.

Chicago

Nodargi, N.A., E. Artioli, F. Caselli, and P. Bisegna. 2014. “State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization.” Fracture and Structural Integrity 8 (29): pages 111–127. https://doi.org/10.3221/IGF-ESIS.29.11.

Harvard

Nodargi, N., Artioli, E., Caselli, F. and Bisegna, P. (2014) ‘State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization’, Fracture and Structural Integrity, 8(29), pp. pages 111–127. doi: 10.3221/IGF-ESIS.29.11.

Vancouver

Nodargi N, Artioli E, Caselli F, Bisegna P. State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization. Fracture and Structural Integrity. 2014;8(29):pages 111-127. doi:10.3221/IGF-ESIS.29.11

BibTeX

@article{nodargi2014, author = {Nodargi, N.A. and Artioli, E. and Caselli, F. and Bisegna, P.}, title = {State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization}, journal = {Fracture and Structural Integrity}, year = {2014}, volume = {8}, number = {29}, pages = {pages 111--127}, doi = {10.3221/IGF-ESIS.29.11}, url = {https://doi.org/10.3221/IGF-ESIS.29.11}, issn = {1971-8993} }

RIS

TY - JOUR AU - Nodargi, N.A. AU - Artioli, E. AU - Caselli, F. AU - Bisegna, P. TI - State update algorithm for associative elastic-plastic pressure-insensitive materials by incremental energy minimization JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2014 DA - 2014/07/09 VL - 8 IS - 29 SP - pages 111 EP - 127 DO - 10.3221/IGF-ESIS.29.11 UR - https://doi.org/10.3221/IGF-ESIS.29.11 SN - 1971-8993 ER -

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