Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
research-article

A fully nonlinear three-dimensional dynamic frictional contact analysis method under large deformation with the area regularization

Published: 06 March 2023 Publication History

Abstract

This paper presents the NTS-AR (node-to-segment with area regularization) method to analyze the three-dimensional dynamic frictional contact bodies under large deformation and plastic material behavior. The extended NTS-AR method considers the 3D geometric structure of the slave surface and frictional constraint in a convected coordinate system. Despite wide applications of the penalty-based node-to-segment (NTS) method, owing to its light computation cost, the penalty-based NTS algorithm still has limitations in convergence and accuracy. Unlike the original NTS method setting a constant penalty parameter, the NTS-AR method compensates the area so that a proper penalty parameter is applied for each slave node. To the best knowledge of authors, the NTS-AR method has been applied only to 2D frictionless contact problems, although the method maintains the advantages of the fast and straightforward algorithm of the original NTS method and shows an improved accuracy. Following validations with various three-dimensional numerical examples, the effects of friction on the tangential and normal forces and displacements under large deformation are investigated with the proposed method. In particular, a collision event of F-35B and aircraft carrier flight deck is simulated.

References

[1]
Zavarise G and De Lorenzis L The node-to-segment algorithm for 2D frictionless contact: classical formulation and special cases Comput Methods Appl Mech Eng 2009 198 3428-3451
[2]
Wriggers P and Laursen TA Computational contact mechanics 2006 Berlin Springer
[3]
Hughes TJR, Taylor RL, Sackman JL, Curnier A, and Kanoknukulchai W A finite element method for a class of contact-impact problems Comput Methods Appl Mech Eng 1976 8 249-276
[4]
Hallquist J (1979) NIKE2D: an implicit, finite-deformation, finite-element code for analyzing the static and dynamic response of two-dimensional solids. California Univ., Livermore (USA). Lawrence Livermore Lab.
[5]
Klaus-Jurgen Bathe AC A solution method for planar and axisymmetric contact problems Int J Numer Methods Eng 1985 21 65-88
[6]
Hallquist JO, Goudreau GL, and Benson DJ Sliding interfaces with contact-impact in large-scale lagrangian computations Comput Methods Appl Mech Engrg 1985 51 107-137
[7]
Simo JC, Wriggers P, and Taylor RL A perturbed Lagrangian formulation for the finite element solution of contact problems Comput Methods Appl Mech Eng 1985 50 163-180
[8]
Laursen TA and Simo JC A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems Int J Numer Methods Eng 1993 36 3451-3485
[9]
Wriggers P, Van Vu T, and Stein E Finite element formulation of large deformation impact-contact problems with friction Comput Struct 1990 37 319-331
[10]
Wriggers P and Simo JC A note on tangent stiffness for fully nonlinear contact problems Commun Appl Numer Methods 1985 1 199-203
[11]
Parisch H A consistent tangent stiffness matrix for three-dimensional non-linear contact analysis Int J Numer Methods Eng 1989 28 1803-1812
[12]
Hallquist JO (2006) LS-DYNA theory manual. Livermore software Technology corporation 3:25-31
[13]
Abaqus V (2014) 6.14 Documentation. Dassault Systemes Simulia Corporation 651
[14]
Puso MA and Laursen TA A mortar segment-to-segment frictional contact method for large deformations Comput Methods Appl Mech Eng 2004 193 4891-4913
[15]
Papadopoulos P and Taylor RL A mixed formulation for the finite element solution of contact problems Comput Methods Appl Mech Eng 1992 94 373-389
[16]
Crisfield MA Re-visiting the contact patch test Int J Numer Methods Eng 2000 48 435-449
[17]
El-Abbasi N and Bathe K-J Stability and patch test performance of contact discretizations and a new solution algorithm Comput Struct 2001 79 1473-1486
[18]
Bernardi C, Maday Y, Patera AT (1993) Domain decomposition by the mortar element method. In: Kaper HG, Garbey M, Pieper GW (eds) Asymptotic and numerical methods for partial differential equations with critical parameters. Springer, Dordrecht, pp 269–286
[19]
Zavarise G and Wriggers P A segment-to-segment contact strategy Math Comput Model 1998 28 497-515
[20]
Puso MA and Laursen TA A mortar segment-to-segment contact method for large deformation solid mechanics Comput Methods Appl Mech Eng 2004 193 601-629
[21]
Puso MA A 3D mortar method for solid mechanics Int J Numer Methods Eng 2004 59 315-336
[22]
Puso MA, Laursen TA, and Solberg J A segment-to-segment mortar contact method for quadratic elements and large deformations Comput Methods Appl Mech Eng 2008 197 555-566
[23]
Wohlmuth B A mortar finite element method using dual spaces for the lagrange multiplie SIAM J Numer Anal 2000 38 989-1012
[24]
Popp A, Gee MW, and Wall WA A finite deformation mortar contact formulation using a primal-dual active set strategy Int J Numer Methods Eng 2009 79 1354-1391
[25]
Hartmann S, Brunssen S, Ramm E, and Wohlmuth B Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy Int J Numer Methods Eng 2007 70 883-912
[26]
Otto P, De Lorenzis L, and Unger JF Explicit dynamics in impact simulation using a NURBS contact interface Int J Numer Methods Eng 2019 121 1248-1267
[27]
Cavalieri FJ and Cardona A Numerical solution of frictional contact problems based on a mortar algorithm with an augmented Lagrangian technique Multibody Syst Dyn 2015 35 353-375
[28]
Almasi A, Kim T-Y, Laursen TA, and Song J-H A strong form meshfree collocation method for frictional contact on a rigid obstacle Comput Methods Appl Mech Eng 2019
[29]
Almasi A, Kim T-Y, and Song J-H Strong form meshfree collocation method for frictional contact between a rigid pile and an elastic foundation Eng Comput 2022
[30]
Beel A and Song J-H Strong-form meshfree collocation method for multibody thermomechanical contact Eng Comput 2021
[31]
Almasi A, Yoon Y-C, Kim T-Y, Laursen TA, and Song J-H A strong-form meshfree collocation method for modeling stationary cracks with frictional contact Int J Non-Linear Mech 2023
[32]
Zavarise G, Wriggers P, Stein E, and Schrefler BA Real contact mechanisms and finite element formulation—a coupled thermomechanical approach Int J Numer Methods Eng 1992 35 767-785
[33]
Zavarise G and De Lorenzis L A modified node-to-segment algorithm passing the contact patch test Int J Numer Methods Eng 2009 79 379-416
[34]
Zavarise G, Boso D, and Schrefler B Gladwell GML A contact formulation for electrical and mechanical resistance Contact mechanics 2002 Springer 211-218
[35]
Laursen TA and Simo JC An augmented lagrangian treatment of contact problems involving friction Comput Struct 1992 42 91-116
[36]
Yang B, Laursen TA, and Meng X Two dimensional mortar contact methods for large deformation frictional sliding Int J Numer Methods Eng 2005 62 1183-1225
[37]
Gitterle M, Popp A, Gee MW, and Wall WA Finite deformation frictional mortar contact using a semi-smooth Newton method with consistent linearization Int J Numer Methods Eng 2010 84 543-571
[38]
Weißenfels C (2013) Contact methods integrating plasticity models with application to soil mechanics. Dissertation, Leibniz Universität Hannover
[39]
McMeeking RM and Rice JR Finite-element formulations for problems of large elastic-plastic deformation Int J Solids Struct 1975 11 601-616
[40]
Kim H-G A comparative study of hyperelastic and hypoelastic material models with constant elastic moduli for large deformation problems Acta Mech 2016 227 1351-1362
[41]
Oldroyd JG On the formulation of rheological equations of state Proc R Soc Lond A 1950 200 523-541
[42]
Bathe K-J Finite element procedures 1996 New Jersey Prentice Hall
[43]
De Borst R, Crisfield MA, Remmers JJ, and Verhoosel CV Nonlinear finite element analysis of solids and structures 2012 New York John Wiley & Sons
[44]
Belytschko T, Liu WK, Moran B, and Elkhodary K Nonlinear finite elements for continua and structures 2014 New York John Wiley & Sons
[45]
Carpenter NJ, Taylor RL, and Katona MG Lagrange constraints for transient finite element surface contact Int J Numer Methods Eng 1991 32 103-128
[46]
Oldenburg M and Nilsson L The position code algorithm for contact searching Int J Numer Methods Eng 1994 37 359-386
[47]
Wong SV, Hamouda AMS, and Hashmi MSJ Kinematic contact-impact algorithm with friction Int J Crashworthiness 2010 6 65-82
[48]
Har J and Fulton RE A parallel finite element procedure for contact-impact problems Eng Comput 2003 19 67-84
[49]
Rackauskaite E, Kotsovinos P, and Rein G Model parameter sensitivity and benchmarking of the explicit dynamic solver of LS-DYNA for structural analysis in case of fire Fire Saf J 2017 90 123-138
[50]
Bhat AR (2009) Finite element modeling and dynamic impact response evaluation for ballistic applications. Dissertation, Oklahoma State University
[51]
Gough V Friction of rubber Rubber Chem Technol 1960 33 158-180
[52]
Arkin WM, Handler J (1989) Naval accidents, 1945–1988. Greenpeace/Institute for Policy Studies
[53]
Carden HD (1982) Correlation and assessment of structural airplane crash data with flight parameters at impact. NASA
[54]
Alfaro-Bou E, Vaughan Jr VL (1977) Light airplane crash tests at impact velocities of 13 and 27 m/s. NASA
[55]
Jackson KE, Putnam JB (2020) Simulation of a full-scale crash test of a fokker F28 fellowship aircraft. NASA
[56]
Paik JK Ultimate limit state analysis and design of plated structures 2018 New York John Wiley & Sons
[57]
Wierzbicki T and Abramowicz W On the crushing mechanics of thin-walled structures J Appl Mech 1983 50 727-734
[58]
Malyshev V (2014) Tribological aspects in friction stir welding and processing In: 1st edn. Advances in Friction-Stir Welding and Processing, Elsevier, pp. 329–386.
[59]
Taylor L, Flanagan D (1989) PRONTO 3D: a three-dimensional transient solid dynamics program. Sandia National Lab.(SNL-NM), Albuquerque, NM (United States)
[60]
Sugano T, Tsubota H, Kasai Y, Koshika N, Orui S, Von Riesemann W, Bickel D, and Parks M Full-scale aircraft impact test for evaluation of impact force Nucl Eng Des 1993 140 373-385
[61]
Wilt T, Chowdhury A, Cox P (2011) Response of reinforced concrete structures to aircraft crash impact. Prepared for US Nuclear Regulatory Commission Contract NRC-02-07-006
[62]
Martin L (2021) F-35 lightning II program status and fast facts. Lockheed Martin. https://www.lockheedmartin.com/content/dam/lockheed-martin/aero/documents/F-35/F35_LightningII_Fast%20Facts_December_2021.pdf. Accessed 7 Jun 2022

Cited By

View all
  • (2024)Efficient implementation on accuracy improvement of the two-dimensional node-to-segment contact approach for explicit dynamic analysisComputational Mechanics10.1007/s00466-023-02425-574:1(113-127)Online publication date: 1-Jul-2024

Index Terms

  1. A fully nonlinear three-dimensional dynamic frictional contact analysis method under large deformation with the area regularization
            Index terms have been assigned to the content through auto-classification.

            Recommendations

            Comments

            Information & Contributors

            Information

            Published In

            cover image Engineering with Computers
            Engineering with Computers  Volume 40, Issue 1
            Feb 2024
            662 pages

            Publisher

            Springer-Verlag

            Berlin, Heidelberg

            Publication History

            Published: 06 March 2023
            Accepted: 08 February 2023
            Received: 02 September 2022

            Author Tags

            1. Collision
            2. Contact mechanics
            3. Large deformation
            4. Finite element
            5. Node-to-segment
            6. Area regularization

            Qualifiers

            • Research-article

            Funding Sources

            Contributors

            Other Metrics

            Bibliometrics & Citations

            Bibliometrics

            Article Metrics

            • Downloads (Last 12 months)0
            • Downloads (Last 6 weeks)0
            Reflects downloads up to 25 Jan 2025

            Other Metrics

            Citations

            Cited By

            View all
            • (2024)Efficient implementation on accuracy improvement of the two-dimensional node-to-segment contact approach for explicit dynamic analysisComputational Mechanics10.1007/s00466-023-02425-574:1(113-127)Online publication date: 1-Jul-2024

            View Options

            View options

            Figures

            Tables

            Media

            Share

            Share

            Share this Publication link

            Share on social media