
References
This section list some of the references used in developing NairnFEAMPM and the NairnFEA and NairnMPM code engines. Some titles are links for viewing a PDF version of the paper.
- Material Point Method References
- Material Point Method with Explicit Cracks References
- Finite Element Analysis References
- Mechanics
Material Point Method
The following references are useful references about the material point method and example of using this MPM code (NairnMPM code engine):
- Sulsky, Chen, and Schreyer, 1994
- The first paper on the material point method: D. Sulsky, Z. Chen, and H. L. Schreyer, "A Particle Method for History-Dependent Materials," Comput. Methods Appl. Mech. Engrg., 118, 179-186 (1994).
- Sulsky, Zhou, and Schreyer, 1995
- D. Sulsky, S. -J. Zhou, and H. L. Schreyer, "Application of a Particle-in-Cell Method to Solid Mechanics," Comput. Phys. Commun., 87, 236-252 (1995).
- Sulsky and Schreyer, 1996
- Asisymmetric material point method analysis: D. Sulsky and H. K. Schreyer, "Axisymnmetric Form of the Material Point Method with Applications to Upsetting and Taylor Impact Problems," Comput. Methods. Appl. Mech. Engrg, 139, 409-429 (1996).
- Zhou, 1998
- PhD Thesis on MPM: S. Zhou, "The Numerical Prediction of Material Failure Based on the Material Point Method," Ph.D. Thesis, University of Mexico (1998).
- Bardenhagen, Brackbill, and Sulsky, 2000
- Use of MPM to study granular materials: S. G. Bardenhagen, J. U. Brackbill, and D. Sulsky, "The Material Point Method for Granular Materials," Computer Methods in Applied Mechanics and Engineering, 187, 529-541 (2000).
- Bardenhagen, et al., 2001
- Derivation of new contact methods for MPM: S. G. Bardenhagen, J. E. Guilkey, K. M. Roessig, J. U. Brackbill, W. M. Witzel, and J. C. Foster, "An Improved Contact Algorithm for the Material Point Method and Application to Stress Propagation in Granular Material," Computer Modeling in Engineering & Sciences, 2, 509-522 (2001).
- Bardenhagen, 2002
- Analysis of energy dissipation in various implementations of MPM: S. G. Bardenhagen, "Energy Conservation Error in the Material Point Method," J. Comp. Phys., 180, 383-403 (2002).
- Ayton, et al., 2002
- The appendix has a description of a variant of Nose-Hoover feedback to implement viscous damping in MPM: G. Ayton, A. M. Smondyrev, S. G. Bardenhagen, P. McMurtry, and G. A. Voth, "Interfacing Molecular Dynamics and Macro-Scale Simulations for Lipid Bilayer Vesicles," Biophys J, 83, 1026-1038 (2002)
- Bardenhagen and Kober, 2004
- A generalized interpolation method that improves MPM calculations when particles cross element boundaries: S. G. Bardenhagen and E. M. Kober, "The Generalized Interpolation Material Point Method," Computer Modeling in Engineering & Sciences, 5, 477-496 (2004).
- Bardenhagen and Brydon, 2005
- Use of MPM to study densification of foam: S. G. Bardenhagen, A. D. Brydon, and J. E. Guilkey, "Insight into the Physics of Foam Densification via Numerical Simulation," J. Mech. Phys. Solids, 53, 597-617 (2005).
- Brydon, Bardenhagen, Miller, and Seidler, 2005
- MPM in foam densification from x-ray tammography data: A. D. Brydon, S. G. Bardenhagen, E. A. Miller, and G. T. Seidler, "Simulation of the Densification of Real Open-Celled Foam Microstructures," J Mech. Phys. of Solids, 53, 2638-2660 (2005).
- Shen and Chen, 2005
- L. Shen and Z. Chen, "A Silent Boundary Scheme with the Material Point Method for Dynamic Analyses," Computer Modeling in Engineering & Sciences, 7, 305-320 (2005).
- Nairn, 2006
- Application of NairnMPM to densification of wood: J. A. Nairn, "Numerical Modeling of Transverse Compression and Densification in Wood," Wood and Fiber Science, 38, 576-591 (2006).
- Lemiale, Hurmane, and Nairn, 2010
- Development of improved contact methods including with rigid materials and use in modeling metal extrusion: V. Lemiale, A. Hurmane, and J. A. Nairn, "Material Point Method Simulation of Equal Channel Angular Pressing Involving Large Plastic Strain and Contact Through Sharp Corners," Computer Modeling in Eng. & Sci., 70(1), 41-66, (2010)
- Sadeghirad, Brannon, and Burghardt, 2011
- Development of an approximation to GIMP integrals by using shape functions to evaluate integrals on the convected partical domain, which they termed CPDI: A. Sadeghirad, R. M. Brannon, and J. Burghardt, "A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations," Int. J. Numer. Meth. Engng 86, 1435-1456 (2011).
- Nairn and Guilkey, submitted 2013
- This paper explains how to do axisymmetric MPM using both GIMP and the CPDI version of GIMP. It also discusses traction boundary condition: J.A. Nairn and J.E. Guilkey, "Axisymmetric Form of the Generalized Interpolation Material Point Method," Computer Methods in Applied Mechanics and Engineering, submitted (2013).
- Nairn, 2013
- This paper describes implementation of imperfect interfaces by using MPM contact methods: J. A. Nairn, "Modeling Imperfect Interfaces in the Material Point Method using Multimaterial Methods" Computer Modeling in Eng. & Sci., 92, 271-299, (2013).
- Stomakhin, et al., 2013
- This paper has a hyperelastic plastic material used to model snow along with some other interesting MPM options: A. Stomakhin, C. Schroeder, L. Chai, J. Teran, and A. Selle, "A material point method for snow simulation," ACM Trans. Graph., Vol. 32, No. 4, Article 102, July 2013.
- Homel, et al., 2016
- This paper provides a method for truncating CPDI shape functions to work better in parallel calculations: Homel, M. A., Brannon, R. M., and Guilkey, J., "Controlling the onset of numerical fracture in parallelized implementations of the material point method (MPM) with convective particle domain interpolation (CPDI) domain scaling. Int. J. Numer. Meth. Engng, 107, 31–48 (2016).
- Nairn, et al., 2020 This paper derives the logistic regression method for MPM contact: J. A. Nairn, C. C. Hammerquist, and G. Smith, "New MPM contact methods for improved accuracy, large-deformation problems, and proper null-space filtering," ''Computer Methods in Applied Mechanics and Engineering'', in press (2019).>
Material Point Method with Explicit Cracks
The developer of NairnFEAMPM developed the methods for doing MPM calculations with explicit cracks. Those methods are implemented in NairnFEAMPM. The following are some references of MPM with explicit cracks.
- Nairn 2003
- First paper with definition of the CRAMP algorithm for CRAcks in the Material Point method. The appendix lists MPM step tasks that are similar to the way tasks are implemented in NairnMPM. This paper also discusses method for updating strain: J. A. Nairn, "Material Point Method Calculations with Explicit Cracks," Computer Modeling in Engineering & Sciences, 4, 649-664 (2003).
- Guo and Nairn, 2004
- Use of MPM to find fracture parameters: Y. Guo and J. A. Nairn, "Calculation of J-Integral and Stress Intensity Factors using the Material Point Method," Computer Modeling in Engineering & Sciences, 6, 295-308 (2004).
- Nairn, 2005
- Energy balance method to fracture simulations, which has not been used much since: John A. Nairn, "Simulation of Crack Growth in Ductile Materials," Engr. Fract. Mech., 72, 961-979 (2005).
- Guo and Nairn, 2006
- Extension of CRAMP to 3D calculations, although 3D cracks are not implement yet in NairnMPM: Yajun Guo and John A. Nairn, "Three-Dimensional Dynamic Fracture Analysis Using the Material Point Method," Computer Modeling in Eng. & Sci., 16, 141-156 (2006).
- Nairn, 2007
- Fracture simulations in solid wood: John A. Nairn, "Material Point Method Simulations of Transverse Fracture in Wood with Realistic Morphologies," Holzforschung, 61, 375-381 (2007).
- Nairn, 2007b
- This paper describes implementation of imperfect interfaces in FEA as elements and in MPM on crack surfaces: John A. Nairn, "Numerical Implementation of Imperfect Interfaces," Computational Materials Science, 40, 525-536 (2007).
- Nairn, 2009
- This paper describes modeling of crack to find R curves and use of traction laws in NairnMPM crack propagation simulations: John A. Nairn, "Analytical and Numerical Modeling of R Curves for Cracks with Bridging Zones," Int. J. Fracture, 155, 167-181 (2009).
- Nairn and Le, 2009
- Use of imperferect interfaces in NairnMPM to model wood glue bonds in oriented strand board: J.A. Nairn and Edward Le, "Numerical Modeling and Experiments on the Role of Strand-to-Strand Interface Quality on the Properties of Oriented Strand Board," Proc of 9th Int. Conf. on Wood Adhesives, Lake Tahoe, Neveda, USA, Sept. 28-30, 2009.
- Bardenhagen, Nairn, and Lu, 2011
- Use in NairnMPM in dynamic fraction using traction laws on the crack surface: S. G. Bardenhagen, J.A. Nairn, and H. Lu, "Simulation of dynamic fracture with the Material Point Method using a mixed J-integral and cohesive law approach," Int. J. Fracture, 170, 49-66 (2011) (DOI 10.1007/s10704-011-9602-1).
- Matsumoto and Nairn, 2012
- Use of NairnMPM for crack propagation simulations with fiber bridging: Noah Matsumoto and J.A. Nairn, "Fracture Toughness of Wood and Wood Composites During Crack Propagation," Wood and Fiber Science, 44, 121-133 (2012)
Finite Element Analysis
The following are some references about FEA and example os using this code (NairnFEA code engine) in calculations:
- Cooke, Malkus, and Plesha, 1989
- The most-used book for development of NairnFEA: R. D. Cooke, D. S. Malkus, and M. E. Plesha, Concepts and Applications of Finite Element Analysis John Wiley & Sons, New York, 1989.
- Barsoum, 1974
- First paper on quarter point elements: R. S. Barsoum, "Application of Quadratic Isoparametric Finite Elements in Linear Fracture Mechanics," Int. J. Fracture, 10, 603-605 (1974).
- Gibbs, Poole, and Stockmeyer, 1976
- Describes the method used to resequence nodes in FEA Calculations: N. E. Gibbs, W. G. Poole, and P. K. Stockmeyer, "An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix," SIAM Journal of Numerical Analysis, 13, 236-250 (1976).
- Hashin, 1992
- Variational mechanics of composites with an imperfect interface: Z. Hashin, "Extremum Principles for Elastic Heterogeneous Media with Imperfect Interaces and Thier Application to Bounding of Effective Moduli," J. Mech. Phys. Solids, 40, 767-781 (1992).
- Nairn, 2007b
- This paper describes implementation of imperfect interfaces in FEA as elements and in MPM on crack surfaces: John A. Nairn, "Numerical Implementation of Imperfect Interfaces," Computational Materials Science, 40, 525-536 (2007).
- Nairn, 2007c
- Use of NairnFEA to model properties of wood as a function of the end-grain orientation: John A. Nairn, "A Numerical Study of the Transverse Modulus of Wood as a Function of Grain Orientation and Properties," Holzforschung, 61, 406-413 (2007).
- Nairn, 2011
- General analysis crack closure calculations by post-processing NairnFEA results including crack-surface tractions (which other papers get wrong): John A. Nairn, "Generalized Crack Closure Analysis for Elements with Arbitrarily-Placed Side Nodes and Consistent Nodal Forces," Int. J. Fracture, 171, 11-22 (2011).
Mechanics
The following are some references about mechanics of materials such as constitutive law modeling:
- Johnson and Cook, 1983
- Describes the Johnson-Cook hardening law: G. R. Johnson and W. H. Cook, "A constitutive model and data for metals subjected to large strains, high strain rates ad high temperatures," Proceedings of the 7th International Symposium on Ballistics, 541-547 (1983).
- Steinberg, Cochran, and Guinan, 1989
- Describes the SCGL hardening law: D. J. Steinberg S. G. Cochran, and M. W. Guinan, "A constitutive model for metals applicable at high strain rates," J. Appl. Phys., 51, 1498-1504 (1989).
- Steinberg and Lund, 1989
- Describes the SL hardening law: D. J. Steinberg and C. M. Lund, "A constitutive model for strain rates from 10-4 to 106," J. Appl. Phys., 65, 1528-1533 (1989).
- Wilkins, 1999
- M. L. Wilkens, "Computer Simululation of Dynamic Phenomena," Springer, Berlin, 1999.