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Coupled Systems Mechanics Volume 4, Number 2, June 2015 , pages 115-136 DOI: https://doi.org/10.12989/csm.2015.4.2.115 |
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Combined hardening and localized failure with softening plasticity in dynamics |
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Xuan Nam Do, Adnan Ibrahimbegovic and Delphine Brancherie
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| Abstract | ||
| We present for one-dimensional model for elastoplastic bar with combined hardening in FPZ - fracture process zone and softening with embedded strong discontinuities. The simplified version of the model without FPZ is directly compared and validated against analytical solution of Bazant and Belytschko (1985). It is shown that deformation localizes in an area which is governed by the chosen element size and therefore causes mesh sensitivity and that the length of the strain-softening region tends to localize into a point, which also agrees with results obtained by stability analysis for static case. Strain increases in the softening domain with a simultaneous decrease of stress. The problem unloads elastically outside the strain-softening region. The more general case with FPZ leads to more interesting results that also account for induced strain heterogeneities. | ||
| Key Words | ||
| dynamics; FPZ - fracture process zone; strain-softening; localization; finite element; embedded discontinuity | ||
| Address | ||
| Xuan Nam Do and Delphine Brancherie: Université de Technologie Compiègne / Sorbonne Universités, Laboratoire Roberval de Mécanique Centre de Recherche Royallieu, Rue Personne de Roberval, 60200 Compiègne, France Adnan Ibrahimbegovic: Université de Technologie Compiègne / Sorbonne Universités, Laboratoire Roberval de Mécanique Centre de Recherche Royallieu, Rue Personne de Roberval, 60200 Compiègne, France; Chair for Computational Mechanics, Computational Mechanics | ||
