A mixed-mode energy-based elastoplastic fatigue induced damage model for the peridynamic theory

Cruz, Atila Lupim; Donadon, Maurício Vicente

doi:10.1016/j.engfracmech.2022.108834

Cited by 4 publications

(3 citation statements)

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“…where Δt denotes the time increment, and d k−1 , d k and d k+1 denote the displacement at time t − Δt, t and t + Δt, respectively. Substituting Equation (28) into Equation (23), the displacement at timestep k − 1 can be expressed as:…”

Section: Numerical Algorithmmentioning

confidence: 99%

“…Therefore, it has natural advantages in fracture analysis. This model has been widely used to analyze the progressive failure and crack propagation in concrete structures, 18,19 damage in laminated fiber-reinforced composites, 20,21 fatigue crack propagation, 22,23 and metal material corrosion. 24,25 Since the peridynamic model is based on the nonlocal interaction theory, the equilibrium of a material point is attained by an integral of internal forces exerted by nonadjacent points across a finite distance, which significantly increases the computation cost compared with the classical continuum mechanical model.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Element‐based coupling modeling of peridynamics and classical continuum mechanics for dynamic brittle fracture

Yu,

Han,

et al. 2023

Numerical Meth Engineering

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In this work, the hybrid peridynamic and classical continuum mechanical model based on the element‐type numerical discretization is used to study the dynamic fracture problem of brittle materials. The weak form of the motion equation for the hybrid model is derived by applying Hamilton's principle. An element‐based spatial discretization scheme is set up using the peridynamics‐based finite element method (PeriFEM) (Han and Li). The ‐convergence and m‐convergence of the hybrid model are analyzed to verify the numerical convergence and the mesh dependency. The influence of the area of the peridynamic model subdomain and the hybrid model subdomain on the calculation efficiency and accuracy is discussed. And the relationship between the crack propagation speed and the crack branching phenomenon is also investigated. Good agreements are obtained by comparing the crack path and the crack speed profile predicted by the hybrid model with those in the literature. Numerical results verify the ability and efficiency of the hybrid model for dynamic fracture problem.

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Section: Numerical Algorithmmentioning

confidence: 99%