Research Papers

An Eulerian Orthogonal Cutting Model for Unidirectional Fiber-Reinforced Polymers

[+] Author and Article Information
Shengqi Zhang

Department of Mechanical
& Aerospace Engineering,
North Carolina State University,
911 Oval Drive, Campus Box 7910,
Raleigh, NC 27695-7910
e-mail: szhang15@ncsu.edu

John S. Strenkowski

Department of Mechanical
& Aerospace Engineering,
North Carolina State University,
911 Oval Drive, Campus Box 7910,
Raleigh, NC 27695-7910
e-mail: jsstren@ncsu.edu

1Corresponding author.

Manuscript received March 28, 2017; final manuscript received November 27, 2017; published online January 8, 2018. Assoc. Editor: Tony Schmitz.

J. Manuf. Sci. Eng 140(2), 021017 (Jan 08, 2018) (8 pages) Paper No: MANU-17-1175; doi: 10.1115/1.4038612 History: Received March 28, 2017; Revised November 27, 2017

An Eulerian model is described that simulates orthogonal cutting of unidirectional fiber-reinforced polymer (FRP) composites. The continuous finite element method (FEM) and the discontinuous Galerkin (DG) method are combined to solve the governing equations. A progressive damage model is implemented to predict subsurface damage in the composite. A correction factor that accounts for fiber curvature is included in the model that incorporates the influence of fiber bending. It was found that fiber orientation has a dominant influence on both the cutting forces and subsurface damage. Good agreement was found between predicted cutting forces and subsurface damage and published experimental observations.

Copyright © 2018 by ASME
Topics: Fibers , Cutting , Damage , Polymers
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Rao, G. V. G. , Mahajan, P. , and Bhatnagar, N. , 2008, “ Three-Dimensional Macro-Mechanical Finite Element Model for Machining of Unidirectional-Fiber Reinforced Polymer Composites,” Mater. Sci. Eng. A, 498(1–2), pp. 142–149. [CrossRef]
Phadnis, V. A. , Makhdum, F. , Roy, A. , and Silberschmidt, V. V. , 2013, “ Drilling in Carbon/Epoxy Composites: Experimental Investigations and Finite Element Implementation,” Compos. Part A, 47(1), pp. 41–51. [CrossRef]
Usui, S. , Wadell, J. , and Marusich, T. , 2014, “ Finite Element Modeling of Carbon Fiber Composite Orthogonal Cutting and Drilling,” Procedia CIRP, 14, pp. 211–216. [CrossRef]
Santiuste, C. , Miguelez, H. , and Soldani, X. , 2011, “ Out-of-Plane Failure Mechanisms in LFRP Composite Cutting,” Compos. Struct., 93(11), pp. 2706–2713. [CrossRef]
Bhatnagar, N. , Nayak, D. , Singh, I. , Chouhan, H. , and Mahajan, P. , 2004, “ Determination of Machining-Induced Damage Characteristics of Fiber Reinforced Plastic Composite Laminates,” Mater. Manuf. Processes, 19(6), pp. 1009–1023. [CrossRef]
Iliescu, D. , Gehin, D. , Iordanoff, I. , Girot, F. , and Gutierrez, M. , 2010, “ A Discrete Element Method for the Simulation´ of CFRP Cutting,” Compos. Sci. Technol., 70(1), pp. 73–80. [CrossRef]
Nayak, D. , and Singh, I. , 2004, “ An Analysis of Machining Induced Damages in FRP Composites a Micromechanics Finite Element Approach,” Materials Processing and Design: Modeling, Simulation and Applications, American Institute of Physics, College Park, MD.
Rao, G. V. G. , Mahajan, P. , and Bhatnagar, N. , 2007, “ Micro-Mechanical Modeling of Machining of FRP Composites Cutting Force Analysis,” Compos. Sci. Technol., 67(3–4), pp. 579–593. [CrossRef]
Venu Gopala Rao, G. , Mahajan, P. , and Bhatnagar, N. , 2007, “ Machining of UD-GFRP Composites Chip Formation Mechanism,” Compos. Sci. Technol., 67(11–12), pp. 2271–2281. [CrossRef]
Dandekar, C. R. , and Shin, Y. C. , 2008, “ Multiphase Finite Element Modeling of Machining Unidirectional Composites: Prediction of Debonding and Fiber Damage,” ASME J. Manuf. Sci. Eng., 130(5), p. 051016. [CrossRef]
Calzada, K. A. , Kapoor, S. G. , DeVor, R. E. , Samuel, J. , and Srivastava, A. K. , 2012, “ Modeling and Interpretation of Fiber Orientation-Based Failure Mechanisms in Machining of Carbon Fiber-Reinforced Polymer Composites,” J. Manuf. Processes, 14(2), pp. 141–149. [CrossRef]
Abena, A. , Soo, S. L. , and Essa, K. , 2015, “ A Finite Element Simulation for Orthogonal Cutting of UD-CFRP Incorporating a Novel Fibre-Matrix Interface Model,” Procedia CIRP, 31, pp. 539–544. [CrossRef]
Arola, D. , and Ramulu, M. , 1997, “ Orthogonal Cutting of Fiber-Reinforced Composites: A Finite Element Analysis,” Int. J. Mech. Sci., 39(5), pp. 597–613. [CrossRef]
Daniel, I. M. , and Ishai, O. , 2005, Engineering Mechanics of Composite Materials, 2nd ed, Oxford University Press, Oxford, UK.
Arola, D. , Sultan, M. B. , and Ramulu, M. , 2002, “ Finite Element Modeling of Edge Trimming Fiber Reinforced Plastics,” ASME J. Manuf. Sci. Eng., 124(1), pp. 32–41. [CrossRef]
Ramesh, M. V. , Seetharamu, K. N. , Ganesan, N. , and Sivakumar, M. S. , 1998, “ Analysis of Machining of FRPs Using FEM,” Int. J. Mach. Tools Manuf., 38(12), pp. 1531–1549. [CrossRef]
Mahdi, M. , and Zhang, L. , 2001, “ A Finite Element Model for the Orthogonal Cutting of Fiber-Reinforced Composite Materials,” J. Mater. Process. Technol., 113(1–3), pp. 373–377. [CrossRef]
Nayak, D. , Bhatnagar, N. , and Mahajan, P. , 2005, “ Machining Studies of Ud-Frp Composites—Part 2: Finite Element Analysis,” Mach. Sci. Technol., 9(4), pp. 503–528. [CrossRef]
Lasri, L. , Nouari, M. , and El Mansori, M. , 2009, “ Modelling of Chip Separation in Machining Unidirectional FRP Composites by Stiffness Degradation Concept,” Compos. Sci. Technol., 69(5), pp. 684–692. [CrossRef]
Lasri, L. , Nouari, M. , and Mansori, M. E. , 2011, “ Wear Resistance and Induced Cutting Damage of Aeronautical FRP Components Obtained by Machining,” Wear, 271(9–10), pp. 2542–2548. [CrossRef]
Xu, J. , and El Mansori, M. , 2016, “ Cutting Modeling of Hybrid CFRP/Ti Composite With Induced Damage Analysis,” Materials, 9(1), p. 22. [CrossRef]
Hashin, Z. , and Rotem, A. , 1973, “ A Fatigue Failure Criterion for Fiber Reinforced Materials,” J. Compos. Mater., 7(4), pp. 448–464. [CrossRef]
Hashin, Z. , 1981, “ Fatigue Failure Criteria for Unidirectional Fiber Composites,” ASME J. Appl. Mech., 48(4), pp. 846–852.
Santiuste, C. , Soldani, X. , and Miguelez, M. H. , 2010, “ Machining FEM Model of Long Fiber Composites for Aeronautical Components,” Compos. Struct., 92(3), pp. 691–698. [CrossRef]
Soldani, X. , Santiuste, C. , Munoz-Sanchez, A. , and Miguelez, M. , 2011, “ Influence of Tool Geometry and Numerical Parameters When Modeling Orthogonal Cutting of LFRP Composites,” Compos. Part A, 42(9), pp. 1205–1216. [CrossRef]
Camanho, P. , and Davila, C. , 2002, “ Mixed-Mode Decohesion Finite Elements for the Simulation of Delamination in Composite Materials,” NASA Center for Aerospace Information (CASI), Hanover, MD, Report No. NASA/TM-2002-211737. https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20020053651.pdf
Zenia, S. , Ben Ayed, L. , Nouari, M. , and Delamzire, A. , 2015, “ Numerical Analysis of the Interaction Between the Cutting Forces, Induced Cutting Damage, and Machining Parameters of CFRP Composites,” Int. J. Adv. Manuf. Technol., 78(1–4), pp. 465–480. [CrossRef]
Zienkiewicz, O. C. , Jain, P. C. , and Onate, E. , 1978, “ Flow of Solids During Forming and Extrusion: Some Aspects of Numerical Solutions,” Int. J. Solids Struct., 14(1), pp. 15–38. [CrossRef]
Strenkowski, J. S. , and Moon, K. J. , 1990, “ Finite Element Prediction of Chip Geometry and Tool/Workpiece Temperature Distributions in Orthogonal Metal Cutting,” J. Eng. Ind., 112(4), pp. 313–318. [CrossRef]
Zhang, L. C. , Zhang, H. J. , and Wang, X. M. , 2001, “ A Force Prediction Model for Cutting Unidirectional Fibre-Reinforced Plastics,” Mach. Sci. Technol., 5(3), pp. 293–305. [CrossRef]
Lapczyk, I. , and Hurtado, J. A. , 2007, “ Progressive Damage Modeling in Fiber-Reinforced Materials,” Compos. Part A, 38(11), pp. 2333–2341. [CrossRef]
Van Der Meer, F. P. , and Sluys, L. J. , 2009, “ Continuum Models for the Analysis of Progressive Failure in Composite Laminates,” J. Compos. Mater., 43(20), pp. 2131–2156. [CrossRef]
Budiansky, B. , and Fleck, N. A. , 1994, “ Compressive Kinking of Fiber Composites: A Topical Review,” ASME Appl. Mech. Rev., 47(6S), pp. S246–S250. [CrossRef]
Hsiao, H. M. , and Daniel, I. M. , 1998, “ Strain Rate Behavior of Composite Materials,” Compos. Part B, 29(5), pp. 521–533. [CrossRef]
Benson, D. J. , 1997, “ A Mixture Theory for Contact in Multi-Material Eulerian Formulations,” Comput. Methods Appl. Mech. Eng., 140(1–2), pp. 59–86. [CrossRef]
Benson, D. J. , 2008, “ Momentum Advection on Unstructured Staggered Quadrilateral Meshes,” Int. J. Numer. Methods Eng., 75(13), pp. 1549–1580. [CrossRef]
Belytschko, T. , Liu, W. K. , Moran, B. , and Elkhodary, K. , 2014, Nonlinear Finite Elements for Continua and Structures, John Wiley & Sons, West Sussex, UK.
Wang, D. H. , Ramulu, M. , and Arola, D. , 1995, “ Orthogonal Cutting Mechanisms of Graphite/Epoxy Composite. Part I: Unidirectional Laminate,” Int. J. Mach. Tools Manuf., 35(12), pp. 1623–1638. [CrossRef]
Geuzaine, C. , and Remacle, J.-F. , 2016, “ Gmsh Reference Manual,” Gmsh 3.0.


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Fig. 1

Boundary conditions and parameters for the model

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Fig. 2

Data structures for the continuous FEM and the DG method

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Fig. 6

Predicted reaction forces and damage at different times for θ = 30 deg, 60 deg, and 90 deg

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Fig. 7

Predicted reaction forces and damage at different times for θ = 120 deg and 150 deg

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Fig. 3

Mesh used for simulation of orthogonal cutting IM6/3501-4 CFRP

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Fig. 8

Comparison of predicted and experimental cutting forces for different fiber angles

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Fig. 4

Predicted curvature and direction of fibers with different initial fiber angles in the workpiece at t = 10 ms

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Fig. 5

Experimental observations [6] of the bending of fibers with different initial fiber angles. The arrangement of fiber angles follows the same order as in Fig. 4.




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