Implementation of a modified Drucker–Prager model in the lattice spring model for plasticity and fracture

Zhao, Gao‐Feng; Lian, Jijian; Russell, Adrian R.; Khalili, Nasser

doi:10.1016/j.compgeo.2018.11.021

Cited by 27 publications

(7 citation statements)

References 15 publications

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“…How to peel off the influence of the macromechanical properties of elastic buckling and material nonlinearity is very important in the study of constitutive models. Previous studies mainly focused on the formation of shear bands after plastic yield. From our simulation, it can be concluded that the stress‐strain nonlinearity of the porous solid before yielding involves the geometric influence of elastic buckling.…”

Section: Elastic Buckling Analysis Of Porous Solidsmentioning

confidence: 99%

Mechanical behavior of porous solid considering mesoscopic elastic buckling

Zhang

Zhao

2020

Num Anal Meth Geomechanics

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Summary In this work, the elastic buckling of porous solids was investigated using a lattice spring model (LSM). The capability of the LSM to solve elastic buckling problems was comprehensively verified by comparing well‐established numerical and analytical solutions. Following this, the buckling of a porous solid was studied, in which two porous structures were considered, ie, the random porous model and the Voronoi porous model. The results reveal that both the porosity and the shape of the pores influence the elastic buckling bearing capacity of the porous solid. Finally, the mechanical responses of a porous solid with an extra high porosity (0.85) were numerically investigated. Our numerical results demonstrated that the nonlinear elastic response of the porous solid might come from its mesoscale elastic buckling. This work shows the ability and promise of using the LSM as a fundamental numerical tool for the deep investigation of the buckling mechanical behavior of porous solids.

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Section: Elastic Buckling Analysis Of Porous Solidsmentioning

confidence: 99%

Mechanical behavior of porous solid considering mesoscopic elastic buckling

Zhang

Zhao

2020

Num Anal Meth Geomechanics

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“…[2,3]. 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%

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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“…Nevertheless, these two models are still involved in recent research activity (see, e.g. Isbuga and Regueiro (2017), Zhao et al. (2019), Mohammadi et al.…”

Section: Introductionmentioning

confidence: 99%

A unified general framework for small and finite strain two-invariants elastoplasticity

Spiezia

Salomoni

2022

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PurposeThis paper proposes a unified original general framework, designed to theoretically develop and to extremely easily implement elastoplastic constitutive laws defined in the so called two-invariants space, both in small and finite strain regime.Design/methodology/approachA general return mapping algorithm is proposed, and particularly a standard procedure is developed to compute the two algorithmic tangent operators, required to solve the Newton–Raphson scheme at the local and global level and thus cast the elastoplastic algorithm within a FEM code.FindingsThis work demonstrates that the proposed procedure is fully general and can be applied whatever is the elastic law, the yield surface, the plastic potential function and the hardening law. Several numerical examples are reported, not only to demonstrate the accuracy and robustness of the algorithm, but also explain how to use this general algorithm also in other applications.Originality/valueThe proposed algorithm and its numerical implementation into a FEM code is new and original. The usefulness and the value of the algorithm is twofold: (1) it can be implemented in a small and finite strain simulation FEM code, in order to handle different types of constitutive laws in the same modular way, thus fully leveraging on modern object-oriented coding approach; (2) it can be used as a framework to develop (and then to implement) new constitutive models, since the researcher can simply define the relevant functions (and its main derivatives) and automatically get the numerical algorithm.

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Implementation of a modified Drucker–Prager model in the lattice spring model for plasticity and fracture

Cited by 27 publications

References 15 publications

Mechanical behavior of porous solid considering mesoscopic elastic buckling

Mechanical behavior of porous solid considering mesoscopic elastic buckling

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

A unified general framework for small and finite strain two-invariants elastoplasticity

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