Nonlocal Continuum Damage Mechanics Approach of a Discrete Axial Chain under Non-Uniform Axial Load

Abstract:

The failure of a discrete elastic-damage axial system is investigated using both a discrete and anequivalent continuum approach. The discrete damage mechanics (DDM) approach is based on amicrostructured model composed of a series of periodic elastic-damage springs (axial DDM latticesystem). Such a damage discrete system can be associated with the finite difference formulation of aContinuum Damage Mechanics (CDM) evolution problem.The nonlocal CDM models considered in this paper are mainly built from a continualizationprocedure applied to centered finite difference schemes. A comparison of the discrete and thecontinuous problems for the chains shows the effectiveness of the new micromechanics-basednonlocal Continuum Damage modeling, especially for capturing scale effects.

• Periodical: Applied Mechanics and Materials (Volume 784)
• Pages: 317-324
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.784.317
• Online since: August 2015
• Authors: Benjamin Herisson, Vincent Picandet*, Noël Challamel, Arnaud Perrot
• Keywords: Axial Chain, Continuum Damage Mechanics, Discrete Problem, Distributed Loading, Finite Difference Equation, Lattice, Localization, Microcracks, Microstructured Materials, Nonlocal Continuous Models, Repetitive Cells, Scale Effect

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