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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2009

Time integration scheme for elastoplastic models based on anisotropic strain-rate potentials

Résumé

Modelling of plastic anisotropy requires the definition of stress potentials (coinciding with the yield criteria in case of the associated flow rules) or, alternatively, plastic strain-rate potentials. The latter approach has several advantages whenever material parameters are determined by means of texture measurements and crystal plasticity simulations. This paper deals with a phenomenological description of anisotropy in elastoplastic rate-insensitive models, by using strain-rate potentials. A fully implicit time integration algorithm is developed in this framework and implemented in a static-implicit finite element code. Algorithmic details are discussed, including the derivation of the consistent (algorithmic) tangent modulus and the numerical treatment of the yield condition. Typical sheet-forming applications are simulated with the proposed implementation, using the recent non-quadratic strain-rate potential Srp2004-18p. Numerical simulations are carried out for materials that exhibit strong plastic anisotropy. The numerical results confirm that the presented algorithm exhibits the same generality, robustness, accuracy, and time-efficiency as state-of-the-art yield-criterion-based algorithms.
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Dates et versions

hal-01192771 , version 1 (03-09-2015)

Identifiants

  • HAL Id : hal-01192771 , version 1
  • DOI : 10.1002/nme.2640
  • ENSAM : http://hdl.handle.net/10985/9908

Citer

Meziane Rabahallah, Tudor Balan, Salima Bouvier, Cristian Teodosiu. Time integration scheme for elastoplastic models based on anisotropic strain-rate potentials. International Journal for Numerical Methods in Engineering, 2009, 80 (3), pp.381-402. ⟨10.1002/nme.2640⟩. ⟨hal-01192771⟩
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