A stabilized hybrid peridynamic method compatible with constitutive models of different dimensions

Gu, Qiang; Lin, Zhe; Wang, Lei; Huang, Surong; Li, Shaofan

doi:10.1016/j.soildyn.2023.107903

Cited by 3 publications

(2 citation statements)

References 32 publications

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“…To address the limitations of BPD and SPD (more importantly, the zero-energy mode problem in SPD), a novel hybrid peridynamic method (HPD) is proposed. As with BPD, the HPD creates bonds between each PD point and its neighboring PD points within its horizon and calculates the total force on the PD point from all bond forces [28]. The equilibrium equation for HPD follows the same format as BPD and SPD (i.e., Equation ( 1)), and the computation of the pairwise force function L(X, t) can also be computed using Equation (2).…”

Section: Hybrid Peridynamic Methodsmentioning

confidence: 99%

“…The proposed HPD method builds upon a previous peridynamic method developed by the authors. However, while the previous method shares similarities with the HPD method, there is a significant difference in the approach used to calculate the strain, and the previous one has not been applied to simulate reinforced concrete beams [28]. The proposed HPD method is successfully implemented in OpenSees, and applied to simulate the refined mechanical behaviors of RC beams with different shear span-to-depth ratios, based on published test results [29].…”

Section: Introductionmentioning

confidence: 99%

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Refined Simulation of Reinforced Concrete Beam Based on a Hybrid Peridynamic Method

Lin

Xue

et al. 2023

Buildings

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Reinforced concrete (RC) structures under earthquake excitation may fail and cause significant casualties and economic losses, highlighting the importance of studying their seismic failure mechanisms. Considering that the commonly used finite element method and discrete element method have inherent limitations, a more efficient meshless method, known as peridynamics (PD), has been proposed and applied in various areas. PD has two types, namely, bond-based peridynamics (BPD) and state-based peridynamics (SPD). BPD is limited by its fixed Poisson’s ratio, while SPD suffers from the zero-energy mode issue. A hybrid peridynamics (HPD) method is introduced in this paper to overcome these limitations, as it establishes bonds between each PD point and other PD points within its horizon and sums up all bond forces on the PD point to calculate the total force. The proposed HPD method is then applied to simulate three RC beams with different shear span-to-depth ratios. The simulation results, including the shear force–deflection of the beams, shear force–strain of stirrups, crack formation and propagation, and diagonal crack width, are compared against experimental data. The proposed HPD method is demonstrated as being capable of simulating RC structures’ behaviors in an accurate and stable manner.

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Section: Hybrid Peridynamic Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%