Peridynamic Modeling of Frictional Contact

Kamensky, David; Behzadinasab, Masoud; Foster, Janet; Bazilevs, Yuri

doi:10.1007/s42102-019-00012-y

Cited by 53 publications

(11 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Peridynamics, as a nonlocal extension of continuum mechanics [13,14], has been successful in modeling damage evolution and material failure [15,16,13]. Dynamic brittle fracture [17][18][19], fatigue and thermallyinduced cracking [20,16], fracture in porous and granular materials [21][22][23], failure of composites [24,25], corrosion damage [26][27][28][29], and stress corrosion cracking [30][31][32], are among some applications of this formulation in modeling material damage.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

Jafarzadeh

Larios

Bobaru

2020

J Peridyn Nonlocal Model

View full text Add to dashboard Cite

We introduce an efficient boundary-adapted spectral method for peridynamic diffusion problems with arbitrary boundary conditions. The spectral approach transforms the convolution integral in the peridynamic formulation into a multiplication in the Fourier space, resulting in computations that scale as ( log ). The limitation of regular spectral methods to periodic problems is eliminated using the volume penalization method. We show that arbitrary boundary conditions or volume constraints can be enforced in this way to achieve high levels of accuracy. To test the performance of our approach we compare the computational results with analytical solutions of the nonlocal problem. The performance is tested with convergence studies in terms of nodal discretization and the size of the penalization parameter in problems with Dirichlet and Neumann boundary conditions.

show abstract

Section: Introductionmentioning

confidence: 99%

“…small localized damage or crack growth). The advantage is lost in problems in which, for example, failure is affecting a large part of the domain [15,19].…”

Section: Introductionmentioning

confidence: 99%

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

Jafarzadeh

Larios

Bobaru

2020

J Peridyn Nonlocal Model

View full text Add to dashboard Cite

show abstract

“…The aggregate interlock is known to be an important factor that influences the shear failure in RC structures. It can be incorporated using a contact model at the formed crack surfaces, or by allowing a small number of bonds to heal, so there is resistance to sliding in the direction of the crack plane [75]. Another important shear transfer mechanism is the dowel action, that depends on the interface bonding between the concrete matrix and the steel reinforcement, as well as the yielding in the reinforcement [115].…”

Section: Research Questionsmentioning

confidence: 99%

A Review on the Developments of Peridynamics for Reinforced Concrete Structures

Hattori

Hobbs

Orr

2021

Arch Computat Methods Eng

View full text Add to dashboard Cite

Concrete is the most widely used man made material in the world. Reinforced with steel, it forms a key enabler behind our rapidly urbanising built environment. Yet despite its ubiquity, the failure behaviour of the material in shear is still not well understood. Many different shear models have been proposed over the years, often validated against sets of physical tests, but none of these has yet been shown to be sufficiently general to account for the behaviour of all possible types and geometries of reinforced concrete structures. A key barrier to a general model is that concrete must crack in tension, and in shear such cracks form rapidly to create brittle failure. Peridynamics (PD) is a non-local theory where the continuum mechanics equilibrium equation is reformulated in an integral form, thereby permitting discontinuities to arise naturally from the formulation. On the one hand, this offers the potential to provide a general concrete model. On the other hand, PD models for concrete structures have not focussed on applications with reinforcement. Moreover, a robust model validation that assesses the strengths and weakness of a given model is missing. The objectives of this paper are twofold: (1) to evaluate the benchmark tests involving shear failure for RC structures; and (2) to review the most recent PD theory and its application for reinforced concrete (RC) structures. We investigate these models in detail and propose benchmark tests that a PD model should be able to simulate accurately.

show abstract

“…Section 4.3.4). Contact is modeled using a short-range repulsive-force approach [99,57]. The simulations involved about 83,000 PD nodes and 50,000 time steps, which took approximately 1.5 hours to run on the Stampede 2 cluster at Texas Advanced Computing Center using 4 SKX compute nodes (192 processors in total).…”

Section: Impact Of An Egg-shaped Thin-walled Object On a Rigid Wallmentioning

confidence: 99%

A General-Purpose, Inelastic, Rotation-Free Kirchhoff-Love Shell Formulation for Peridynamics

Behzadinasab,

Alaydin,

Trask

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We present a comprehensive rotation-free Kirchhoff-Love (KL) shell formulation for peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture in thin-walled structures. To remove the need for a predefined global parametric domain, Principal Component Analysis is employed in a meshfree setting to develop a local parameterization of the shell midsurface. The KL shell kinematics is utilized to develop a correspondence-based PD formulation. A bond-stabilization technique is employed to naturally achieve stability of the discrete solution. Only the mid-surface velocity degrees of freedom are used in the governing thin-shell equations. 3D rate-form material models are employed to enable simulating a wide range of material behavior. A bond-associative damage correspondence modeling approach is adopted to use classical failure criteria at the bond level, which readily enables the simulation of brittle and ductile fracture. Discretizing the model with asymptotically compatible meshfree approximation provides a scheme which converges to the classical KL shell model while providing an accurate and flexible framework for treating fracture. A wide range of numerical examples, ranging from elastostatics to problems involving plasticity, fracture, and fragmentation, are conducted to validate the accuracy, convergence, and robustness of the developed PD thin-shell formulation. It is also worth noting that the present method naturally enables the discretization of a shell theory requiring higher-order smoothness on a completely unstructured surface mesh.

show abstract

Peridynamic Modeling of Frictional Contact

Cited by 53 publications

References 35 publications

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

A Review on the Developments of Peridynamics for Reinforced Concrete Structures

A General-Purpose, Inelastic, Rotation-Free Kirchhoff-Love Shell Formulation for Peridynamics

Contact Info

Product

Resources

About