In this paper, Peridynamic (PD) Theory is demonstrated as a simulation methodology for fracture analysis of EM windows and domes under particle impact. This theory involves reformulation of classical continuum mechanics in integral form (no spatial derivatives), alleviating the stress singularity problem common to previous fracture analysis approaches. The PD theory enables accurate description of failure events via natural generation and accumulation of defects, cracks, and damage; it can capture complex, 3-D and multiple non-coplanar crack initiation and propagation. The fracture behavior of materials is influenced by an important material parameter, critical stretch, which is specific to PD theory. This study offers a combined experimental-computational method to extract the critical stretch parameter for glass and ceramic materials based on simulations of indentation tests. The critical stretch parameter extracted from indentation simulations is subsequently used for simulations involving sand impact. The predicted damage field is in very good agreement with the experimentally observed fracture patterns.
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Ibrahim Guven, Brian J. Zelinski, "Peridynamic modeling of damage and fracture in EM windows and domes," Proc. SPIE 9453, Window and Dome Technologies and Materials XIV, 94530V (28 May 2015);