Meshfree formulation for modelling of orthogonal cutting of composites

F. Kahwash, I. Shyha, A. Maheri

Research output: Contribution to journalArticle

5 Citations (Scopus)
5 Downloads (Pure)

Abstract

The Element-Free Galerkin method (EFG) is a prominent member of the meshfree methods family. In this work, EFG is utilised to simulate the orthogonal cutting process of unidirectional composites. The mathematical model is derived from the weak form of the momentum conservation equation with frictional contact constraints based on penalty method. Spatial discretisation using moving least squares shape functions are used. The onset and progression of damage are predicted by two stress-based failure criteria. Full Newton Raphson solver is used to solve the non-linear system equations iteratively. Numerical experiments investigating the effect of rake angle and fibre orientation are conducted. Cutting forces are compared against experiments and finite element simulations available in literature. 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.
Original languageEnglish
Pages (from-to)193-201
Number of pages9
JournalComposite Structures
Volume166
Early online date19 Jan 2017
DOIs
Publication statusPublished - 15 Apr 2017

Fingerprint

Galerkin methods
Fiber reinforced materials
Composite materials
Sensitivity analysis
Nonlinear systems
Conservation
Momentum
Experiments
Mathematical models

Keywords

  • meshfree
  • element-free Galerkin
  • orthogonal cutting
  • modelling of machining
  • undirectional composites

Cite this

Meshfree formulation for modelling of orthogonal cutting of composites. / Kahwash, F.; Shyha, I.; Maheri, A.

In: Composite Structures, Vol. 166, 15.04.2017, p. 193-201.

Research output: Contribution to journalArticle

@article{7c375fa92ce44b7ab1a487fa0a2daaf2,
title = "Meshfree formulation for modelling of orthogonal cutting of composites",
abstract = "The Element-Free Galerkin method (EFG) is a prominent member of the meshfree methods family. In this work, EFG is utilised to simulate the orthogonal cutting process of unidirectional composites. The mathematical model is derived from the weak form of the momentum conservation equation with frictional contact constraints based on penalty method. Spatial discretisation using moving least squares shape functions are used. The onset and progression of damage are predicted by two stress-based failure criteria. Full Newton Raphson solver is used to solve the non-linear system equations iteratively. Numerical experiments investigating the effect of rake angle and fibre orientation are conducted. Cutting forces are compared against experiments and finite element simulations available in literature. 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.",
keywords = "meshfree, element-free Galerkin, orthogonal cutting, modelling of machining, undirectional composites",
author = "F. Kahwash and I. Shyha and A. Maheri",
note = "The authors gratefully acknowledge the financial support of Northumbria University for conducting this research.",
year = "2017",
month = "4",
day = "15",
doi = "10.1016/j.compstruct.2017.01.021",
language = "English",
volume = "166",
pages = "193--201",
journal = "Composite Structures",
issn = "0263-8223",
publisher = "Elsevier BV",

}

TY - JOUR

T1 - Meshfree formulation for modelling of orthogonal cutting of composites

AU - Kahwash, F.

AU - Shyha, I.

AU - Maheri, A.

N1 - The authors gratefully acknowledge the financial support of Northumbria University for conducting this research.

PY - 2017/4/15

Y1 - 2017/4/15

N2 - The Element-Free Galerkin method (EFG) is a prominent member of the meshfree methods family. In this work, EFG is utilised to simulate the orthogonal cutting process of unidirectional composites. The mathematical model is derived from the weak form of the momentum conservation equation with frictional contact constraints based on penalty method. Spatial discretisation using moving least squares shape functions are used. The onset and progression of damage are predicted by two stress-based failure criteria. Full Newton Raphson solver is used to solve the non-linear system equations iteratively. Numerical experiments investigating the effect of rake angle and fibre orientation are conducted. Cutting forces are compared against experiments and finite element simulations available in literature. 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.

AB - The Element-Free Galerkin method (EFG) is a prominent member of the meshfree methods family. In this work, EFG is utilised to simulate the orthogonal cutting process of unidirectional composites. The mathematical model is derived from the weak form of the momentum conservation equation with frictional contact constraints based on penalty method. Spatial discretisation using moving least squares shape functions are used. The onset and progression of damage are predicted by two stress-based failure criteria. Full Newton Raphson solver is used to solve the non-linear system equations iteratively. Numerical experiments investigating the effect of rake angle and fibre orientation are conducted. Cutting forces are compared against experiments and finite element simulations available in literature. 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.

KW - meshfree

KW - element-free Galerkin

KW - orthogonal cutting

KW - modelling of machining

KW - undirectional composites

U2 - 10.1016/j.compstruct.2017.01.021

DO - 10.1016/j.compstruct.2017.01.021

M3 - Article

VL - 166

SP - 193

EP - 201

JO - Composite Structures

JF - Composite Structures

SN - 0263-8223

ER -