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Statistical investigation of the fracture behaviour of inhomogeneous materials in tension and three-point bending
Authors:Jean-Marie Berthelot  Louendi Fatmi
Affiliation:a Composites and Structural Mechanics Group, Acoustics and Mechanics Institute, University of Maine, Avenue Olivier Messiaen, 72085 Le Mans cedex 9, France
b Mechanics Institute, University of 8 Mai 45, Guelma, Algeria
Abstract:Development of damage in heterogeneous materials submitted to tensile tests and flexural tests is analysed using finite element analysis and considering statistical distribution of material strength. Materials are assumed to have a brittle local behaviour and fracture stresses are distributed randomly through test specimens. Also, the analysis considers that it exists a dimension which is characteristic of damage growing, depending on the fracture processes induced. A simulation procedure for evaluating damage development through test specimens is next implemented and the influence of the scattering width of the fracture stress distributions is analysed.
Keywords:Inhomogeneous materials  Damage  Statistical analysis  Tension  3-point bending
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