On the Existence of Minimizers with Prescribed Singular Points in Nonlinear Elasticity

@inproceedings{SivaloganathanOnTE,
  title={On the Existence of Minimizers with Prescribed Singular Points in Nonlinear Elasticity},
  author={Jeyabal Sivaloganathan and Scott J. Spector}
}
Experiments on elastomers have shown that sufficiently-large triaxial tensions induce the material to exhibit holes that were not previously evident. In this paper conditions are presented that allow one to use the direct method of the calculus of variations to deduce the existence of hole creating deformations that are global minimizers of a nonlinear, purely-elastic energy. The crucial physical assumption used is that there are a finite (possibly large) number of material points in the… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 25 references

An existence theory for nonlinear elasticity that allows for cavitation

S. Müller, S. J. Spector
Arch. Rational Mech. Anal. 131 • 1995

Cavitation in nonlinearly elastic solids: A review

C. O. Horgan, D. A. Polignone
J. Appl. Mech. 48 • 1995

Degree Theory in Analysis and Applications

I. Fonseca, W. Gangbo
Oxford Press • 1995

Measure Theory and Fine Properties of Functions

L. C. Evans, R. F. Gariepy
CRC Press, Boca Raton • 1992

Maximum principles and a priori estimates for a class of problems from nonlinear elasticity

P. Bauman, N. C. Owen, D. Phillips
Analyse non linéaire 8 • 1991

The formation of filamentary voids in solids

R. D. James, S. J. Spector
J. Mech. Phys. Solids 39 • 1991

Cavitation in rubber: a cautionary tale

A. N. Gent
Rubber Chem. Technology 63 • 1990

Det = det - A remark on the distributional determinant

S. Müller
C. R. Acad. Sci. Paris, Ser. I 311 • 1990

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