Numerical simulation of orthogonal cutting using the material point method

Nairn, John A.

doi:10.1016/j.engfracmech.2015.07.014

Cited by 38 publications

(38 citation statements)

References 21 publications

(46 reference statements)

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“…Machining of metals have been studied using some meshfree methods such as: Material Point Method [22], finite pointset method [23] and smoothed particle hydrodynamics [24][25][26][27][28]. Iliescu et al [29], developed a model for machining composites utilising the discrete element method.…”

Section: Introductionmentioning

confidence: 99%

Meshfree formulation for modelling of orthogonal cutting of composites

Kahwash

Shyha

Maheri

2017

Composite Structures

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Please cite this article as: Kahwash, F., Shyha, I., Maheri, A., Meshfree formulation for modelling of orthogonal cutting of composites, Composite Structures (2017), doi: http://dx.doi.org/10. 1016/j.compstruct.2017.01.021 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Simulations show that the meshfree model is capable of predicting cutting forces as a function of the fibre orientation. Sensitivity analysis is conducted to investigate the effect of important meshfree parameters such as the domain of influence and weight function on forces. One of the strongest advantages of the proposed model is the simple and automatic set up process, as meshing for domain discretisation is not required.

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Section: Introductionmentioning

confidence: 99%

Meshfree formulation for modelling of orthogonal cutting of composites

Kahwash

Shyha

Maheri

2017

Composite Structures

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“…The details for MPM modelling of orthogonal cutting are given in [11]. This section summarizes some key points and describes additions needed for modelling a bench plane.…”

Section: Numerical Modellingmentioning

confidence: 99%

“…This paper describes an MPM model for a bench plane and addresses several of these issues. The new features in this paper compared with Nairn [11] are to model cutting of an anisotropic material (wood) and to incorporate realistic effects of cutting equipment, such as a chip breaker and a base plate in a bench plane.…”

Section: Introductionmentioning

confidence: 99%

“…When explicit crack growth is directly included in the model, those separation criteria can be based on physically justifiable fracture mechanics criteria [1]. For example, Nairn [11] describes a material point method (MPM) simulation of orthogonal cutting. The crack growth was modelled by explicit crack growth using cohesive zone methods.…”

Section: Introductionmentioning

confidence: 99%

“…For example, Williams et al [9,10] developed analytical models for orthogonal cutting with crack propagation including plastic shearing and plastic bending modes. The initial model was for isotropic materials with elastic plastic behaviour, although it is easily extended to plastic hardening [11]. The addition of explicit crack growth is also an important concept for numerical modelling.…”

Section: Introductionmentioning

confidence: 99%

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Numerical modelling of orthogonal cutting: application to woodworking with a bench plane

Nairn¹

2016

Interface Focus.

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A numerical model for orthogonal cutting using the material point method was applied to woodcutting using a bench plane. The cutting process was modelled by accounting for surface energy associated with wood fracture toughness for crack growth parallel to the grain. By using damping to deal with dynamic crack propagation and modelling all contact between wood and the plane, simulations could initiate chip formation and proceed into steady-state chip propagation including chip curling. Once steady-state conditions were achieved, the cutting forces became constant and could be determined as a function of various simulation variables. The modelling details included a cutting tool, the tool's rake and grinding angles, a chip breaker, a base plate and a mouth opening between the base plate and the tool. The wood was modelled as an anisotropic elastic -plastic material. The simulations were verified by comparison to an analytical model and then used to conduct virtual experiments on wood planing. The virtual experiments showed interactions between depth of cut, chip breaker location and mouth opening. Additional simulations investigated the role of tool grinding angle, tool sharpness and friction.

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Multiscale modeling of large deformation in geomechanics

Liang

Zhao

2019

Num Anal Meth Geomechanics

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Summary Large deformation soil behavior underpins the operation and performance for a wide range of key geotechnical structures and needs to be properly considered in their modeling, analysis, and design. The material point method (MPM) has gained increasing popularity recently over conventional numerical methods such as finite element method (FEM) in tackling large deformation problems. In this study, we present a novel hierarchical coupling scheme to integrate MPM with discrete element method (DEM) for multiscale modeling of large deformation in geomechanics. The MPM is employed to treat a typical boundary value problem that may experience large deformation, and the DEM is used to derive the nonlinear material response from small strain to finite strain required by MPM for each of its material points. The proposed coupling framework not only inherits the advantages of MPM in tackling large deformation engineering problems over the use of FEM (eg, no need for remeshing to avoid mesh distortion in FEM), but also helps avoid the need for complicated, phenomenological assumptions on constitutive material models for soil exhibiting high nonlinearity at finite strain. The proposed framework lends great convenience for us to relate rich grain‐scale information and key micromechanical mechanisms to macroscopic observations of granular soils over all deformation levels, from initial small‐strain stage en route to large deformation regime before failure. Several classic geomechanics examples are used to demonstrate the key features the new MPM/DEM framework can offer on large deformation simulations, including biaxial compression test, rigid footing, soil‐pipe interaction, and soil column collapse.

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Numerical simulation of orthogonal cutting using the material point method

Cited by 38 publications

References 21 publications

Meshfree formulation for modelling of orthogonal cutting of composites

Meshfree formulation for modelling of orthogonal cutting of composites

Numerical modelling of orthogonal cutting: application to woodworking with a bench plane

Multiscale modeling of large deformation in geomechanics

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