Damage-augmented nonlocal lattice particle method for fracture simulation of solids

Meng, Changyu; Liu, Yongming

doi:10.1016/j.ijsolstr.2022.111561

Cited by 4 publications

(3 citation statements)

References 53 publications

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“…At the elastic predictor stage, the trial bond force is calculated using the elastic bond deformation. The trial yield function is then calculated as: (7) If the trial yield function exceeds the yield surface, the plastic multiplier is larger than zero and can be determined as [5]:…”

Section: Methodsmentioning

confidence: 99%

“…Furthermore, the use of lattice type model to model ductile fracture has been developed and studied in [4]. Recently, a type of LSM known as volume compensated particle method (VCPM) utilizing nonlocal interaction apart from local axial interaction is extended to model plasticity and ductile fracture [5].…”

Section: Introductionmentioning

confidence: 99%

“…In the work [5], VCPM is solved using an implicit numerical scheme known as atomic finite element method. Here, the symplectic Euler scheme is used to solve the equation of motion and the effect of varying particle and time step size on the accuracy of VCPM in solving elastoplastic test case is investigated.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Fully Explicit Lattice Spring Elastoplastic Solid Model for Fluid Structure Interaction Applications

Low,

Ng,

2023

J. Phys.: Conf. Ser.

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The Fluid Structure Interaction (FSI) solver based on mesh-less methods developed at University of Nottingham Malaysia has been proven to be successful in solving hydroelastic problems involving elastic body. In this paper, the possibility of modelling elastocplastic material behaviour using mesh-less method is further explored. Elastoplastic material bahaviour is essential for modelling ductile fracture in a wide range of engineering problems. The use of a type of nonlocal lattice spring model (LSM) based on fully explicit integration scheme in modelling elastoplastic material behaviour is presented in this work. Specifically, the return mapping algorithm is incorporated in the solid solver for modelling J2 plasticity. The effect of time step size and particle spacing on the accuracy of the solver are investigated by checking the predicted strain against theoretical solution. It is found out that the strain results obtained by varying the time step size are somewhat consistent with the theoretical solution. The predicted strain also converges to the theoretical result as the particle spacing is refined.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%