Visual framework for development and use of constitutive models

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 26, Issue 15, 2002, Pages 1493-1513

  Hashash, Youssef M A ^a   Wotring, Donald C ^a   Yao, John I Chiang ^a   Lee, Jung Suk ^a   Fu, Qingwei ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Constitutive models; Elasto plasticity; Glyphs; Visualization

Indexed keywords

COMPUTER GRAPHICS; INFORMATION TECHNOLOGY; ROCKS; SOILS; VISUALIZATION;

MODIFIED CAM CLAY (MCC);

GEOTECHNICAL ENGINEERING;

CONSTITUTIVE EQUATION; GEOTECHNICAL PROPERTY; VISUALIZATION;

EID: 0037176295     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.255     Document Type: Article

References (33)

1. Potts DM, Zdravkovic L. Finite Element Analysis in Geotechnical Engineering: vol. 1-Theory. Thomas Telford: London, 1999; xiv, 440.
2. Potts DM, Zdravkovic L. Finite Element Analysis in Geotechnical Engineering: vol. 2-Application. Thomas Telford: London, 2001; xiv, 500.
3. Prevost JH, Popescu R. Constitutive relations for soil materials. Electronic Journal for Geotechnical Engineering 1996; 1.
4. Kriz RD, Glaessen EH, MacRae JD. Eigenvalue-Eigenvector glyphs: Visualizing zeroth, second, fourth and higher order tensors in a continuum. In Workshop on Modeling the Development of Residual Stresses during Thermoset Composite Curing. University of Illinois: Champaign-Urbana, 1995.
5. Helman JL, Hesselink L. Visualizing vector field topology in fluid flows. IEEE Computer Graphics & Applications 1991; 11(3):36-46.
6. Delmarcelle T, Hesselink L. Visualization of second-order tensor fields and matrix data. In Proceedings of IEEE Visualization Conference '91. IEEE Computer Society Press: Los Alamitos, CA, 1992; 316-323.
7. Haber RB. Visualization techniques for engineering mechanics. Computing Systems in Engineering 1990; 1(1):37-50.
8. Boring E, Pang A. Directional flow visualization of vector fields. In IEEE Visualization '96. CS Press: Los Alamitos, CA, 1996; 389-392.
9. Jeremic B, Scheuermann G, Frey J, Yang Z, Hamann B, Joy KI, Hagen H. Tensor visualizations in computational geomechanics. International Journal for Numerical and Analytical Methods in Geomechanics 2001; 01(1-6).
10. Hooke R. A Description of Heliscopes, and Some other Instruments. T.R. for John Martyn: London, England, 1675.
11. Hill R. The Mathematical Theory of Plasticity. Oxford Engineering Science Series. Clarendon Press: Oxford, 1950; ix, 356.
12. Roscoe KH, Burland JB. On the generalized stress-strain behaviour of 'wet' clay. In Engineering Plasticity, Heyman J (ed.), Cambridge University Press, Cambridge, 1968; 535-609.
13. Dafalias YF. The concept and application of the bounding surface in plasticity theory. In IUTAM Symposium on Physical Non-linearities in Structural Analysis, France, 1980; 56-63.
14. Dikeman SU, Ghaboussi J. Effective stress analysis of seismic response and liquefaction: theory. Journal of Geotechnical Engineering 1984; 110(5):628-644.
15. Ghaboussi J, Garret JH, Wu X. Knowledge-based modeling of material behaviour with neural networks. Journal of Engineering Mechanics Division 1991; 117(1):132-153.
16. Ghaboussi J, Sidarta DE. New method of material modeling using neural networks. In Proceedings of the 6th International Symposium on Numerical Models in Geomechanics 1997; 393-400.
17. Gudehus G. Requirements to constitutive relations for soils. In Prager W (ed.), Symposium on Mechanics of Geomaterials: Rocks, Concretes, Soils. Northwestern University: Evanston, IL, 1983; 55-73.
18. Gudehus G. Comparison of some constitutive laws for soils under radially symmetric loading and unloading. In Proceedings of the 3rd International Conference on Numerical Methods in Geomechanics, Aachen, 1979; 1309-1323.
19. Rumbaugh J, Blaha M, Premerlani W, Eddy F. Lorensen W. Object-Oriented Modeling and Design. Prentice-Hall, Inc.: Englewood Cliffs, NJ, 1991; 500.
20. Malvern LE. Introduction to The Mechanics of a Continuous Medium. Prentice-Hall: Englewood Cliffs, NJ, 1969; xii, 713.
21. Nayak GC, Zienkiewiczs OC. Elasto-plastic stress analysis: a generalization for various constitutive relations including strain softening. International Journal for Numerical Methods in Geomechanics 1972; 5(1):113-135.
22. Potts DM, Gens A. A critical assessment of methods of correcting for drift from the yield surface in elasto-plastic finite element analysis. International Journal for Numerical and Analytical Methods in Geomechanics 1985; 9(2): 149-159.
23. Ortiz M, Popov EP. Accuracy and stability of integration algorithms for elastoplastic constitutive relations. International Journal for Numerical Methods in Engineering 1985; 21(9):1561-1576.
24. Simo JC, Taylor RL. A return mapping algorithm for plane stress elastoplasticity. International Journal for Numerical Methods in Engineering 1986; 22(3):649-670.
25. Hashash YMA, Whittle AJ. Integration of Modified Cam Clay model in non-linear finite element analysis. Computers and Geotechnics 1992; 14(2):59-83.
26. Delmarcelle TD, Hesselink L. Visualizing second-order tensor fields with hyperstreamlines. IEEE Computer Graphics and Application 1993; 13: 25-33.
27. JAVA, Java Platform, Standard Edition, http://java.sun.com/, Sun Microsystems, Inc., 2001.
28. Hibbard W. The VisAD Java class library developers guide. In Alliance '98. University of Illinois: Urbana-Champaign, 1998.
29. Boresi AP, Schmidt RJ, Sidebottom OM. Advanced Mechanics of Materials (5th edn). Wiley: New York, 1993; 811.
30. Kavvadas M. Non-Linear Consolidation around Driven Piles in Clays. MIT: Cambridge, MA, 1982; 666.
31. Moore JG, Schorn SA, Moore J. Methods of classical mechanics applied to turbulence stresses in a tip leakage vortex. In International Gas Turbine and Aeroengine Congress & Exposition. AMSE: Houston, TX, 1995; 11.
32. Simo JC, Hughes TJR. General return mapping algorithms for rate-independent plasticity. In Constitutive Laws for Engineering Material: Theory and Applications C.S. Desai (ed), Tucson, Arizona, Elsevier, 1987; 221-231.
33. Wood DM. Soil Behaviour and Critical State Soil Mechanics. Cambridge University Press: Cambridge, England, New York, 1990; xxiii, 462.