TECHNICAL PAPERS
Aug 1, 1983

Endochronic Description of Sand Response to Static Loading

Publication: Journal of Engineering Mechanics
Volume 109, Issue 4

Abstract

The constitutive equation for cohesionless soil is developed within the framework of the endochronic theory of plasticity. It is found that three groups of internal state variables should be used to describe the complex behavior of soil. To each group of internal variables there corresponds an evolution equation for the variables and an intrinsic (endochronic) time. The theory is shown to predict essential features of the mechanical behavior of cohesion‐less soil under static loading conditions. These include: (1) The nonlinear volumetric response at isotropic consolidation; (2) densification due to the change in the deviatoric state; (3) the deviatoric response and its dependence on normal stress; and (4) the effects of unloading and reloading during isotropic consolidation and shearing.

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References

1.
Bažant, Z. P., “Endochronic Inelasticity and Incremental Plasticity,” International Journal of Solids and Structures, Vol. 14, 1978, pp. 691–714.
2.
Bažant, Z. P., “Work Inequalities for Plastic Fracturing Materials,” International Journal of Solids and Structures, Vol. 16, 1980, pp. 873–901.
3.
Bažant, Z. P., and Krizek, R. J., “Endochronic Constitutive Law for Liquefaction of Sand,” Journal of the Engineering Mechanics Division, ASCE, Vol. 102, No. EM2, Apr., 1976, pp. 225–238.
4.
Cuellar, V., Bažant, Z. P., Krizek, R. J., and Silver, M. L., “Densification and Hysteresis of Sand Under Cyclic Shear,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 103, No. GT5, May, 1977, pp. 399–416.
5.
Dungar, R., and Nuh, S., “Endochronic‐Critical State Models for Sand,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM5, Oct., 1980, pp. 951–968.
6.
Finn, W. D. L., “Liquefaction Potential: Developments Since 1976,” Proceedings of the International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, Vol. 2, University of Missouri‐Rolla, St. Louis, Mo., Apr., 1981, pp. 655–681.
7.
Hsieh, B. J., “On the Uniqueness and Stability of Endochronic Theory,” Journal of Applied Mechanics, American Society of Mechanical Engineers, Vol. 47, 1980, p. 748.
8.
Lade, P. V., “Elasto‐Plastic Stress‐Strain Theory for Cohesiveless Soil with Curved Yield Surfaces,” International Journal of Solids and Structures, Vol. 13, 1977, pp. 1019–1035.
9.
Lee, K. L., and Seed, H. B., “Drained Strength Characteristics of Sands,” Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 93, No. SM6, Nov., 1967, pp. 117–141.
10.
Oh‐Oka, H., “Drained and Undrained Stress‐Strain Behavior of Sand Subjected to Cyclic Shear Stress Under Nearly Plane Strain Condition,” Soils and Foundations, Vol. 16, No. 3, Sept., 1976, pp. 19–31.
11.
Read, H. E., and Valanis, K. C., “An Endochronic Constitutive Model for General Hysteretic Response of Soils,” Report NP‐957, Electric Power Research Institute, Palo Alto, Calif., Jan., 1979.
12.
Rivlin, R. S., “Some Comments on the Endochronic Theory of Plasticity,” International Journal of Solids and Structures, Vol. 17, 1981, pp. 231–248.
13.
Sandler, I. S., “On the Uniqueness and Stability of Endochronic Theories of Material Behavior,” Journal of Applied Mechanics, American Society of Mechanical Engineers, Vol. 45, 1978, p. 263.
14.
Valanis, K. C., “On the Foundations of the Endochronic Theory of Visco‐plasticity,” Archives of Mechanics, Vol. 27, 1975, pp. 857–868.
15.
Valanis, K. C., “Fundamental Consequences of a New Intrinsic Time Measure—Plasticity as a Limit of the Endochronic Theory,” Archives of Mechanics, Vol. 32, 1980, p. 171.
16.
Valanis, K. C., “On the Substance of Rivlin's Remarks on the Endochronic Theory,” International Journal of Solids and Structures, Vol. 17, 1981, pp. 249–265.
17.
Valanis, K. C., “A Theory of Viscoplasticity Without a Yield Surface, Part I: General Theory; Part II: Application to Mechanical Behavior of Metals,” Archiwun Mechaniki Stosowanej (Archives of Mechanics), Vol. 23, 1971, pp. 517–551.
18.
Wei, C. P., “Effects of Temperature, Irradiation and Cold Work on Creep Behavior of Metals,” thesis presented to the Chemical and Materials Engineering Department, The University of Iowa, at Iowa City, Iowa, in 1978, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
19.
Wu, H. C., Valanis, K. C., and Yao, R. F., “Application of the Endochronic Theory of Plasticity in the Gibbs Free Energy Form,” Letters in Applied and Engineering Sciences, Vol. 4, 1976, pp. 127–136.
20.
Wu, H. C., and Wang, T. P., “Densification and Dilation of Drained Sand due to Static Reversed Loading,” Joint ASME/ASCE Mechanics Conference, University of Colorado, Boulder, Colo., June, 1981.
21.
Wu, H. C., and Yip, M. C., “Strain Rate and Strain Rate History Effects on the Dynamic Behavior of Metallic Materials,” International Journal of Solids and Structures, Vol. 16, 1980, pp. 515–536.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 109Issue 4August 1983
Pages: 970 - 989

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Published online: Aug 1, 1983
Published in print: Aug 1983

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Han C. Wu
Prof., Div. of Materials Engrg., Univ. of Iowa, Iowa City, Iowa 52242
T. P. Wang
Sr. Engr., Centrilift‐Hughes Tool Co., Claremore, Okla. 74017

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