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QUASISTATIC EVOLUTION FOR CAM-CLAY PLASTICITY: EXAMPLES OF SPATIALLY HOMOGENEOUS SOLUTIONS

GIANNI DAL MASO

SISSA-International School for Advanced Studies, Via Beirut 2-4, 34014 Trieste, Italy

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and

ANTONIO DESIMONE

SISSA-International School for Advanced Studies, Via Beirut 2-4, 34014 Trieste, Italy

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https://doi.org/10.1142/S0218202509003942Cited by:11 (Source: Crossref)

Abstract

We study a quasistatic evolution problem for Cam-Clay plasticity under a special loading program which leads to spatially homogeneous solutions. Under some initial conditions, the solutions exhibit a softening behavior and time discontinuities. The behavior of the solutions at the jump times is studied by a viscous approximation.

Keywords:

AMSC: 74C05, 74L10, 34D15

References

Z. Artstein, J. Diff. Eqs. 19, 214 (1975), DOI: 10.1016/0022-0396(75)90002-9. Crossref, Web of Science, Google Scholar
G. Dal Masoet al., Arch. Rational Mech. Anal. 198, 469 (2008). Google Scholar
G. Dal Masoet al., Netw. Heterog. Media 3, 567 (2008). Crossref, Web of Science, Google Scholar
M. Efendiev and A. Mielke, J. Convex Anal. 13, 151 (2006). Web of Science, Google Scholar
J. Jarník and J. Kurzweil, Contributions to the Theory of Nonlinear Oscillations, Annals of Mathematics Studies 45, eds. S. Lefschetz, J. P. LaSalle and L. Cesari (Princeton Univ. Press, 1960) pp. 25–35. Google Scholar
J. Kurzweil, Czechoslovak Math. J. 7, 418 (1957). Crossref, Google Scholar
A. Mielke, Evolutionary Equations, Handbook of Differential Equations II, eds. C. M. Dafermos and E. Feireisl (Elsevier, North-Holland, 2005) pp. 461–559. Google Scholar
K. H. Roscoe and J. B. Burland, Engineering Plasticity, eds. J. Heyman and F. A. Leckie (Cambridge Univ. Press, 1968) pp. 535–609. Google Scholar
K. H. Roscoe and A. N. Schofield, Mechanical behavior of an idealized "wet clay", Proc. 2nd European Conf. Soil Mechanics and Foundation EngineeringI (1963) pp. 47–54. Google Scholar
K. H. Roscoe, A. N. Schofield and C. P. Wroth, Géotechnique 8, 22 (1958). Crossref, Google Scholar
A. N. Schofield and C. P. Wroth , Critical State Soil Mechanics ( McGraw-Hill , 1968 ) . Google Scholar