<p>We introduce an improved peridynamic (PD) model for dynamic fracture in fiber reinforced composites (FRCs). We verify it on elastodynamic and elastostatic problems and test it against the intersonic crack propagation experiment by Coker and Rosakis (2001). When a notched unidirectional FRC lamina is loaded by asymmetric impact, cracks can reach intersonic speeds of propagation. Using the PD model we explain the mechanism of crack initiation and propagation. We predict experimentally observed crack patterns, the crack propagation speed behavior, and the shockwaves generated by the propagating crack. When the PD horizon size is of a similar scale with the actual notch size used in the experiments, the match between computed and experimental results becomes quantitative. This is related to the crack nucleation process and is strength driven. The new PD composite model is calibrated with a homogenized classical model but maintains the sharp distinction between longitudinal and transverse bonds (jump discontinuity in their elastic stiffness), preserving this microstructure information (anisotropy) of the composite. We show that PD models for FRCs in which the micro-scale variation of PD bonds moduli mimics the continuous tension surface of homogenized composite cannot capture the observed failure behavior. Preservation of some essential features pertaining to failure initiation/behavior from the micro-scale, which the present PD model does, appears to be critical in predicting dynamic failure in FRCs using homogenized models.</p>

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Intersonic crack propagation in fiber-reinforced composites with an improved peridynamic model

  • Yenan Wang,
  • Florin Bobaru

摘要

We introduce an improved peridynamic (PD) model for dynamic fracture in fiber reinforced composites (FRCs). We verify it on elastodynamic and elastostatic problems and test it against the intersonic crack propagation experiment by Coker and Rosakis (2001). When a notched unidirectional FRC lamina is loaded by asymmetric impact, cracks can reach intersonic speeds of propagation. Using the PD model we explain the mechanism of crack initiation and propagation. We predict experimentally observed crack patterns, the crack propagation speed behavior, and the shockwaves generated by the propagating crack. When the PD horizon size is of a similar scale with the actual notch size used in the experiments, the match between computed and experimental results becomes quantitative. This is related to the crack nucleation process and is strength driven. The new PD composite model is calibrated with a homogenized classical model but maintains the sharp distinction between longitudinal and transverse bonds (jump discontinuity in their elastic stiffness), preserving this microstructure information (anisotropy) of the composite. We show that PD models for FRCs in which the micro-scale variation of PD bonds moduli mimics the continuous tension surface of homogenized composite cannot capture the observed failure behavior. Preservation of some essential features pertaining to failure initiation/behavior from the micro-scale, which the present PD model does, appears to be critical in predicting dynamic failure in FRCs using homogenized models.