Green’s function for incremental nonlinear elasticity: shear bands and boundary integral formulation

@inproceedings{Bigonia2002GreensFF,
  title={Green’s function for incremental nonlinear elasticity: shear bands and boundary integral formulation},
  author={Davide Bigonia and Domenico Capuanib},
  year={2002}
}
  • Davide Bigonia, Domenico Capuanib
  • Published 2002
An elastic, incompressible, in1nite body is considered subject to plane and homogeneous deformation. At a certain value of the loading, when the material is still in the elliptic range, an incremental concentrated line load is considered acting at an arbitrary location in the body and extending orthogonally to the plane of deformation. This plane strain problem is solved, so that a Green’s function for incremental, nonlinear elastic deformation is obtained. This is used in two di5erent ways: to… CONTINUE READING

From This Paper

Figures and tables from this paper.

Citations

Publications citing this paper.
Showing 1-4 of 4 extracted citations

The dynamics of folding instability in a constrained Cosserat medium

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences • 2017
View 1 Excerpt

Folding and faulting of an elastic continuum

Proceedings. Mathematical, physical, and engineering sciences • 2016
View 2 Excerpts

References

Publications referenced by this paper.
Showing 1-7 of 7 references

The axisymmetric Boussinesq problem of an initially stretched

R. Courant, D. Hilbert
J. Mech. Phys. Solids • 2002

Contact problems for elastic bodies with initial stresses

A. N. Guz, S. Y. Babich, V. B. Rudnitsky
1998
View 1 Excerpt

Theoretical elasticity, 2nd Edition

A. E. Green, W. Zerna
large elastic deformations • 1968
View 1 Excerpt

Mechanics of Incremental Deformations

Math. XXVIII, M. A. 47–62. Biot
1965

Generalized Functions, Vol. 1, Properties and Operations

I. M. Gel’fand, G. E. Shilov
1964
View 2 Excerpts

General theory of small elastic deformations superposed on

Press, A. E. New York. Green, R. S. Rivlin, R. T. Shield
1952

Construction of the Green tensor for the fundamental equation

I. M. New York. Lifshitz, L. N. Rozentsveig
1947
View 1 Excerpt

Similar Papers

Loading similar papers…