Blast Damage Simulation With the Discontinuous Galerkin Finite Element Method of Bond-Based Peridynamics

CHENG Jiahe; GU Xin; ZHANG Qing

doi:10.21656/1000-0887.430338

Volume 44 Issue 4

Apr. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(4): 394-405

CHENG Jiahe, GU Xin, ZHANG Qing. Blast Damage Simulation With the Discontinuous Galerkin Finite Element Method of Bond-Based Peridynamics[J]. Applied Mathematics and Mechanics, 2023, 44(4): 394-405. doi: 10.21656/1000-0887.430338

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Blast Damage Simulation With the Discontinuous Galerkin Finite Element Method of Bond-Based Peridynamics

doi: 10.21656/1000-0887.430338

College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China

Received Date: 2022-10-25
Rev Recd Date: 2023-01-07
Publish Date: 2023-04-01

Abstract

Abstract

The peridynamics (PD) as an integral non-local continuum mechanics theory, is widely used in the discontinuous deformation and failure analyses of solid materials and structures, mainly with the explicit dynamic solution method for meshless particles. In recent years, the discontinuous Galerlin finite element method for weak-form peridynamic equations has been developed. This method can not only describe the non-local action effects and discontinuous deformation characteristics of the investigated body, but also make full use of the finite element method. It has the advantages of efficient solution, direct application of local boundary conditions, and effective avoidance of the surface effects in peridynamics. The basic principle of the discontinuous Galerkin finite element method of bond-based peridynamics was expounded, the calculation formula was derived, the specific algorithm flowchart and details were given, and the dynamic cracking and bifurcation problems of brittle glass plates were simulated. The damage processes of concrete slabs under blast impact loads were calculated and analyzed. The research results show that, the proposed method can predict the complex rupture mode and the damage process of the structure under blast impact loads, with high computational efficiency, and makes an effective way to the simulation of the structural blast damage effects.
- peridynamics,
- discontinuous Galerkin FEM,
- explosive damage,
- concrete

(Contributed by ZHANG Qing, M. AMM Editorial Board)

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References(28)

References

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