Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.ijplas.2009.01.003
Title: Gradient-enhanced softening material models
Authors: Poh, L.H.
Swaddiwudhipong, S. 
Keywords: A. Yield condition
B. Constitutive behavior
B. Elastic-plastic material
C. Finite elements
C. Numerical algorithms
Issue Date: Nov-2009
Source: Poh, L.H., Swaddiwudhipong, S. (2009-11). Gradient-enhanced softening material models. International Journal of Plasticity 25 (11) : 2094-2121. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ijplas.2009.01.003
Abstract: Classical constitutive models exhibit strong mesh dependency during softening and the numerical responses tend towards perfectly brittle behavior upon mesh refinements. Such sensitivity can be avoided by adopting the gradient-enhanced formulation. The implicit approach incorporates the gradient contributions indirectly via an additional Helmholtz equation and requires only C0 continuity. The explicit approach computes the gradient terms directly from the local field variables. Assuming a weak satisfaction of the yield function, C1 continuity or C0 continuity with additional degrees of freedoms in the penalty approach is required. This makes the explicit method less attractive computationally. However, the explicit approach is able to fully regularize some material models where the standard implicit method fails to perform. Drawing analogy to the over-nonlocal integral formulation, the over-implicit-gradient framework is proposed. In addition, an alternative framework for the explicit gradient method requiring only C0 continuity is proposed. The regularizing effects of the abovementioned two gradient frameworks show promising applications to strain-softening materials. © 2009 Elsevier Ltd. All rights reserved.
Source Title: International Journal of Plasticity
URI: http://scholarbank.nus.edu.sg/handle/10635/84600
ISSN: 07496419
DOI: 10.1016/j.ijplas.2009.01.003
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