A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fracture in Brittle Materials

Wang, Yongwei; Han, Fei; Lubineau, Gilles

doi:10.32604/cmes.2019.07192

Cited by 14 publications

(8 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, the cracks propagate destructively at Step 6. The predicted crack path is similar to the results reported in [31]. The beam is discretized into 172109 nodes with 516327 DOFs, the average distance of the nodes is △x = 1 mm and the average volume is 1.195 mm 3 .…”

Section: Double-edge-notched Plate Under Tension and Shearsupporting

confidence: 71%

Accelerated Peridynamic Computation on GPU for Quasi-static Fracture Simulations

Zhong

Han

Zhang

2023

J Peridyn Nonlocal Model

View full text Add to dashboard Cite

Due to the adoption of integral equations instead of partial differential equations to describe the deformations of materials, the peridynamics has advantages in dealing with fracture problems. However, the non-local effect of peridynamics brings too much computation cost to make large-scale engineering applications challenging. In this paper, a parallel algorithm in Compute Unified Device Architecture (CUDA) framework is presented to speed up the computational process of peridynamic model for quasistatic fracture simulations on GPU, in which the peridynamic model is numerically implemented by the peridynamics-based finite element method (PeriFEM) [1]. The parallel algorithm makes crack simulations by the pure peridynamics with millions of degrees of freedom possible with one GPU. To validate the accuracy and efficiency of the parallel algorithm based on PeriFEM, several numerical benchmarks are performed, and the results are compared with those obtained by the finite element method (FEM) and the serial algorithm. The results of the comparison show that the presented parallel algorithm is effective and efficient.

show abstract

Section: Double-edge-notched Plate Under Tension and Shearsupporting

confidence: 71%

Accelerated Peridynamic Computation on GPU for Quasi-static Fracture Simulations

Zhong

Han

Zhang

2023

J Peridyn Nonlocal Model

View full text Add to dashboard Cite

show abstract

“…The DEs have their own set of nodes and edges enabling them to be separated from adjacent elements to characterize the crack initiation. [48][49][50] Since the classical continuum mechanical model needs the displacement solution to be continuous, CEs are employed in the subdomain Ω 1 and the subdomain Ω m . As a contrast, the peridynamic model does not need the displacement solution to be continuous, which is the main reason why the peridynamic model can predict the fracture phenomena.…”

Section: An Element-based Spatial Discretization Strategymentioning

confidence: 99%

“…Crack initiation is characterized by the separation of the discrete elements 48 . The discrete elements are constructed by inserting new nodes into the continuous elements (a circle in light gray represent single node, and a circle in dark gray represent several overlapped nodes).…”

Section: An Element‐based Spatial Discretization Strategymentioning

confidence: 99%

“…As depicted in Figure 2, by introducing new nodes, those CEs can be reconstructed as a new kind of element called discrete element (DE). The DEs have their own set of nodes and edges enabling them to be separated from adjacent elements to characterize the crack initiation 48‐50 . Since the classical continuum mechanical model needs the displacement solution to be continuous, CEs are employed in the subdomain

{\Omega}_1

and the subdomain

{\Omega}_m

.…”

Section: An Element‐based Spatial Discretization Strategymentioning

confidence: 99%

“…Crack initiation is characterized by the separation of the discrete elements. 48 The discrete elements are constructed by inserting new nodes into the continuous elements (a circle in light gray represent single node, and a circle in dark gray represent several overlapped nodes). d(t) is the total nodal displacement vector, R i is a matrix which has the same row number with N i (x) and the same column number with d(t).…”

Section: An Element-based Spatial Discretization Strategymentioning

confidence: 99%

See 2 more Smart Citations

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

Yu,

Han,

et al. 2023

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

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.

show abstract

A 3D peridynamic fluid–solid coupling damage model of hydraulic fracture propagation

Qiu

et al. 2022

Energy Science & Engineering

View full text Add to dashboard Cite

Peridynamics provides a new model and method for describing material failure and fracture development. In this study, a three-dimensional peridynamic fluid-solid coupling model of hydraulic fracture propagation was established.The model considered the effective stress and transverse isotropic characteristics of shale and was used to simulate the propagation of the hydraulic fracturing of bedding shale. The damage evolution influence on the fracture propagation behavior, as well as the interactions between the fractures and bedding, were investigated through a simulation. The damage evolution had discontinuous characteristics. In addition to the incomplete damage zone adjacent to the complete damage zone, there were nonadjacent and incomplete damage zones.The fracture and propagation of hydraulic fractures followed the same trends of damage evolution. Moreover, the simulation and related experimental results confirmed the existence of a large amount of mesodamage in the region far from the fracture, and the concept of "remote damage" in hydraulic fracturing was proposed. Finally, the damage evolution of the propagating fractures and bedding was simulated. The simulation showed that bedding hinders the propagation of main fractures in the height direction but promotes the complexity of fracture propagation. Overall, this study provides a new theoretical understanding and research ideas for an in-depth understanding of hydraulic fracture geometry and the accurate calculation of Stimulated Reservoir Volume.

show abstract

A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fracture in Brittle Materials

Cited by 14 publications

References 32 publications

Accelerated Peridynamic Computation on GPU for Quasi-static Fracture Simulations

Accelerated Peridynamic Computation on GPU for Quasi-static Fracture Simulations

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

A 3D peridynamic fluid–solid coupling damage model of hydraulic fracture propagation

Contact Info

Product

Resources

About