Use of plasticity theory in flexible multibody system dynamics

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5 A, Issue , 2003, Pages 219-230

  Sugiyama, Hiroyuki ^a   Shabana, Ahmed A ^a  

^a 1120 Science and Engineering Offices   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; FLEXIBLE STRUCTURES; PLASTIC DEFORMATION; PROBLEM SOLVING; STRAIN RATE; STRESS ANALYSIS; TENSORS;

FLEXIBLE MULTIBODY SYSTEM DYNAMICS; PLASTICITY THEORY;

ELASTOPLASTICITY;

EID: 1842735163     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48326     Document Type: Conference Paper

References (36)

1. Shabana, A. A., 1998, Dynamics of Multibody Systems, 2nd, Cambridge University Press.
2. Ambrósio, J. A. C. and Nikravesh, P. E., 1992, "Elasto-Plastic Deformations in Multibody Dynamics", Nonlinear Dynamics, vol. 3, pp. 85-104.
3. Gerstmayra, J. and Irschik, H., 2002, "Computational Methods for Elasto-Plastic Multibody Dynamic Systems", Proceedings of Fifth World Congress on Computational Mechanics, Vienna, Austria.
4. Gerstmayra, J., Holl, H. J. and Irschik, H., 2001, "Development of Plasticity and Damage in Vibrating Structural Elements Performing Guided Rigid-Body Motions", Archive of Applied Mechanics, vol. 71, pp. 135-145.
5. Hill, R., 1950, The Mathematical Theory of Plasticity, Clarendon Press.
6. Naghdi, P. M., 1990, "A Critical Review of the State of Finite Plasticity", Journal of Applied Mathematics and Physics (ZAMP), vol. 41, pp. 315-394.
7. Lee, E. H. and Liu, D. T., 1967, "Finite Strain Elastic-Plastic Theory Particularly for Plane Wave Analysis", Journal of Applied Physics, vol. 38, pp. 19-27.
8. Lee, E. H., 1969, "Elastic-Plastic Deformation at Finite Strains", Journal of Applied Mechanics, vol. 36, pp. 1-6.
9. Johnson, G. C. and Bammann, D. J., 1984, "Discussion of Stress Rates in Finite Deformation Problems", International Journal of Solids and Structures, vol. 20, pp. 725-737.
10. Nagtegaal, J. C. and De Jong, J. E., 1982, "Some Aspects of Non-Isotropic Work Hardening in Finite Strain Plasticity", Workshop on Plasticity of Metal at Finite Strain: Theory, Experiments and Computation, Stanford University Press, pp. 65-102.
11. Green, A. E. and Naghdi, P. M., 1965, "A General Theory of Elasto-Plastic Continuum", Archive for Rational Mechanics and Analysis, vol. 18, pp. 221-281.
12. Green, A. E. and Naghdi, P. M., 1971, "Some Remarks on Elastic-Plastic Deformation at Finite Strain", International Journal for Engineering Science, vol. 9, pp. 1219-1229.
13. Lee, E. H., 1981, "Some Comments on Elastic-Plastic Analysis", International Journal of Solids and Structures, vol. 17, pp. 859-872.
14. Nemat-Nasser, S., 1982, "On Finite Deformation Elasto- Plasticity", International Journal of Solids and Structures, vol. 18, pp. 857-872.
15. Nagtegaal, J. C., 1982, "On the Implementation of Inelastic Constitutive Equations with Special Reference to Large Deformation Problems", Computer Methods in Applied Mechanics and Engineering, vol. 33, pp. 469-484.
16. Simo, J. C., 1988, "A Framework for Finite Strain Elastoplasticity Based on Maximum Plastic Dissipation and the Multiplicative Decomposition: Part I Continuum Formulation", Computer Methods in Applied Mechanics and Engineering, vol. 66, pp. 199-219.
17. Simo, J. C. and Hughes, T. J. R., 1998, Computational Inelasticity, Springer.
18. Simo, J. C., 1992, "Algorithms for Static and Dynamic Multiplicative Plasticity That Preserve the Classical Return Mapping Schemes of the Infinitesimal Theory", Computer Methods in Applied Mechanics and Engineering, vol. 99, pp. 61-112.
19. Crisfield, M. A., 1996, Non-Linear Finite Element Analysis of Solids and Structures, Volume 2, Wiley.
20. Eterovic, A. L. and Bathe, K. J., 1990, "A Hyperelastic-Based Large Strain Elastoplastic Constitutive Formulation with Combined Isotropic-Kinematic Hardening Using the Logarithmic Stress and Strain Measures", International Journal for Numerical Methods in Engineering, vol. 30, pp. 1099-1114.
21. Weber, G. and Anand, L., 1990, "Finite Deformation Constitutive-Equations and a Time Integration Procedure for Isotropic, Hyperelastic Viscoplastic Solids", Computer Methods in Applied Mechanics and Engineering, vol. 79, pp. 173-202.
22. Papadopoulos, P. and Lu, J., 1998, "A General Framework for the Numerical Solution of Problems in Finite Elasto-Plasticity", Computer Methods in Applied Mechanics and Engineering, vol. 159, pp. 1-18.
23. Meng, X. N. and Laursen, T. A., 2002, "Energy Consistent Algorithms for Dynamic Finite Deformation Plasticity", Computer Methods in Applied Mechanics and Engineering, vol. 191, pp. 1639-1675.
24. Shabana, A. A. and Yakoub, R. Y., 2001, "Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements", ASME Journal of Mechanical Design, vol. 123, pp. 606-621.
25. Mikkola, A. M. and Shabana, A. A., 2001, "A New Plate Element Based on the Absolute Nodal Coordinate Formulation", Proceedings of the ASME 2001 Design Engineering Technical Conferences, Pittsburgh, PA.
26. Shabana, A. A. and Mikkola, A. M., 2002, "Modeling of the Slope Discontinuities in Flexible Body Dynamics Using the Finite Element Method", Proceedings of ASME 2002 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Montreal, Canada.
27. Sugiyama, H., Escalona, J. L. and Shabana, A. A., 2003, "Formulation of Three-Dimensional Joint Constraints Using the Absolute Nodal Coordinates", Nonlinear Dynamics, vol. 31, pp. 167-195.
28. Bonet, J. and Wood, R. D., 1997, Nonlinear Continuum Mechanics for Finite Element Analysis, Cambridge University Press.
29. Wilkins, M. L., 1964, "Calculation of Elasto-Plastic Flow", Methods of Computational Physics 3, Academic Press.
30. Krieg, R. D. and Key, S. W., 1976, "Implementation of a Time Dependent Plasticity Theory into Structural Computer Programs", Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects, AMD-20, ASME.
31. Simo, J. C., Taylor, R. L. and Pister, K. S., 1985, "Variational and Projection Methods for the Volume Constraint in Finite Deformation Elasto-Plasticity", Computer Methods in Applied Mechanics and Engineering, vol. 51, pp. 177-208.
32. Yakoub, R. Y. and Shabana, A. A., 1999, "Use of Cholesky Coordinates and the Absolute Nodal Coordinate Formulation in the Computer Simulation of Flexible Multibody Systems", Nonlinear Dynamics, vol. 20, pp. 267-282.
33. Simo, J. C. and Taylor, R. L., 1985, "Consistent Tangent Operators for Rate-Independent Elastoplasticity", Computer Methods in Applied Mechanics and Engineering, vol. 48, pp. 101-118.
34. ANSYS Theory Reference 6.1, 2002, SAS IP, Inc.
35. Simo, J. C. and Vu-Quoc, L., 1986, "Three-Dimensional Finite-Strain Rod Model. Part II: Computational Aspects." Computer Methods in Applied Mechanics and Engineering, vol. 58, pp. 79-116.
36. Campanelli, M., Berzeri, M. and Shabana, A. A., 2000, "Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody Problems", ASME Journal of Mechanical Design, vol. 122, pp. 498-507.