Analysis of stress and strain in the absolute nodal coordinate formulation

Mechanics Based Design of Structures and Machines

Volumn 34, Issue 4, 2006, Pages 409-430

  Gerstmayr, Johannes ^a   Matikainen, Marko K ^b  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Absolute nodal coordinate formulation; Finite elements; Plasticity; Stress and strain

Indexed keywords

COMPUTER SOFTWARE; DEFORMATION; FINITE ELEMENT METHOD; NONLINEAR SYSTEMS; PLASTICITY; STRAIN; STRESS ANALYSIS;

ABSOLUTE NODAL COORDINATE FORMULATION; FINITE ELEMENTS; LARGE DEFORMATIONS;

MATERIALS SCIENCE;

EID: 33845401878     PISSN: 15397734     EISSN: 15397742     Source Type: Journal    
DOI: 10.1080/15397730601044895     Document Type: Conference Paper

References (18)

1. Ambrósio, J. A. C., Nikravesh, P. E. (1992). Elasto-plastic deformations in multibody dynamics. Nonlinear Dynamics 3:85-104.
2. Gerstmayr, J. (2004). The absolute coordinate formulation with elasto-plastic deformations. Journal of Multibody System Dynamics 12:363-383.
3. Gerstmayr, J., Irschik, H. (2003). Vibrations of the elasto-plastic pendulum. International Journal of Nonlinear Mechanics 38:111-122.
4. Gerstmayr, J., Shabana, A. A. (2005a). Analysis of higher and lower order elements for the absolute nodal coordinate formulation. In: Proceedings of the IDEC/CIE 2005, ASME 2005 Int. Design Engineering Technical Conferences. Long Beach, CA, Paper Number DETC2005-84827.
5. Gerstmayr, J., Shabana, A. A. (2005b). Efficient integration of the elastic forces and thin three-dimensional beam elements in the absolute nodal coordinate formulation. In: Goicolea, J. M., Cuadrado, J., García Orden, J. C., eds. Multibody Dynamics 2005, ECCOMAS Thematic Conference. Madrid, Spain, 2005.
6. Gerstmayr, J., Schöberl, J. (2006). A 3D finite element method for flexible multibody systems. Multibody System Dynamics 15:309-324.
7. Gross, D., Hauger, W., Schnell, W., Wriggers, P. (1999). Technische Mechanik-Bank 4: Hydromechanik, Elemente der Höheren Mechanik, Numerische Methoden. 3rd ed. Berlin: Springer Verlag.
8. Mang, H., Hofstetter, G. (2000). Festigkeitslehre. Vienna: Springer Verlag.
9. Mikkola, A. M., Matikainen, M. K. (2006). Development of elastic forces for a large deformation plate element based on the absolute nodal coordinate formulation. Journal of Computational and Nonlinear Dynamics 1(2):103-108.
10. Schwab, A. L., Meijaard, J. P. (2005). Comparison of three-dimensional flexible beam elements for dynamic analysis: finite element method and absolute nodal coordinate formulation. In: Proceedings of IDETC/CIE 2005 ASME International Design Engineering Technical Conferences. Sept. 2005, Long Beach, CA, Paper Number DETC2005-85104, ASME, New York.
11. Shabana, A. A. (1997). Definition of the slopes and the finite element absolute nodal coordinate formulation. Multibody System Dynamics 1:339-348.
12. Simo, J. C., Hughes, T. J. R. (1998). Computational Inelasticity. New York: Springer Verlag.
13. Sopanen, J. T., Mikkola, A. M. (2003). Description of elastic forces in absolute nodal coordinate formulation. Nonlinear Dynamics 34:53-74.
14. Sugiyama, H., Shabana, A. A. (2004). On the use of implicit integration methods and the absolute nodal coordinate formulation in the analysis of elasto-plastic deformation problems. Nonlinear Dynamics 37:245-270.
15. Sugiyama, H., Escalona, J. L., Shabana, A. A. (2003). Spatial joint constraints in flexible multibody systems using the absolute nodal coordinate formulation. In: Proceedings of DETC'03 ASME Design Engineering Technical Conferences. Paper Number VIB-48354, ASME, New York.
16. Vetyukov, Yu., Gerstmayr, J., Irschik, H. (2003). Plastic multipliers as driving variables of numerical simulation in elasto-plasticity. Mechanics Research Communications 30:421-430.
17. Vetyukov, Yu., Gerstmayr, J., Irschik, H. (2006). Modeling spatial motion of 3D deformable multibody systems with nonlinearities. Multibody System Dynamics 15(1):67-84.
18. Yakoub, R. Y., Shabana, A. A. (2001). Three dimensional absolute nodal coordinate formulation for beam elements. ASME Journal of Mechanical Design 123:606-621.