engleski

Damage modeling using strain gradient based finite element formulation

The present study deals with the modeling of quasi-brittle softening phenomena using the two dimensional C1 continuity triangular finite element. The formulation of damage model is based on an isotropic damage law applied to the higher-order stress-strain constitutive relations originating from the full strain gradient theory. Both homogeneous and heterogeneous materials are considered by employing the second-order homogenization procedure to obtain the required constitutive matrices. For this purpose, two different heterogeneous representative volume elements are employed, where the results of the softening analyses are compared with those obtained for the corresponding homogeneous materials with equivalent internal length scales. The derived finite element formulation is implemented into the finite element program ABAQUS using user subroutines. Finally, accuracy and efficiency of the proposed higher-order gradient model are demonstrated by the modeling of a stretched plate weakened in the middle, usually used as a benchmark in strain softening analyses.

Damage, Softening, C1 Continuity Finite Element, Strain Gradient Theory, Heterogeneous Material

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