Abstract
An ordinary state-based peridynamic formulation is developed to analyse cubic polycrystalline materials for the first time in the literature. This new approach has the advantage that no constraint condition is imposed on material constants as opposed to bond-based peridynamic theory. The formulation is validated by first considering static analyses and comparing the displacement fields obtained from the finite element method and ordinary state-based peridynamics. Then, dynamic analysis is performed to investigate the effect of grain boundary strength, crystal size, and discretization size on fracture behaviour and fracture morphology.
Highlights
Polycrystalline materials are widely used in many different industrial applications
The aim of crack pattern predicted by PD model and the morphology of intergranular and transgranular crack pattern patternpredicted predicted model the morphology of intergranular and transgranular crack byby model and and the morphology of intergranular and transgranular fracture fracture modes when changing the value of the interface strength coefficient, β
The current model does not have any limitations on material constants as in the bond-based peridynamic theory
Summary
Polycrystalline materials are widely used in many different industrial applications. Amongst the various existing polycrystalline materials, metals and ceramics are common examples. For the majority of these studies, cohesive zone elements (CZM) [4,5,6], extended finite element methodology (XFEM) [7,8], and boundary element method (BEM) [9,10] were utilized These techniques are widely used and powerful, they may have limitations for some specific cases and conditions. It has been applied for the analysis of polycrystalline materials [20,21,22] These studies used either original bond-based formulation (BB) [11] or non-ordinary state-based (NOSB) [23] formulations. The ordinary state-based was utilized chosen for modelling granular fracture in polycrystalline materials. After validating theovercome formulation, limitations of bond-based andtozero-energy mode problem ofboundary non-ordinary state-based several demonstration casesformulation are considered investigate the effect of grain strength, crystal theory. The effect of grain boundary strength, crystal (grain) orientation, and grain size
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