Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-01-28
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 78, 1 (2008) 016109
Physics
Condensed Matter
Other Condensed Matter
Scientific paper
10.1103/PhysRevE.78.016109
We use a power expansion representation of plane elasticity complex potentials due to Kolossov and Muskhelishvili, to compute the elastic fields induced by a localized plastic deformation event. Far from its center, the dominant contributions correspond to first order singularities of quadrupolar and dipolar symmetry which can be associated respectively to pure deviatoric and pure volumetric plastic strain of an equivalent circular inclusion. Constructing holomorphic functions from the displacement field and its derivatives, it is possible to define path independent Cauchy integrals which capture the amplitudes of these singularities. Analytical expressions and numerical tests on simple finite element data are presented. The development of such numerical tools is of direct interest for the identification of local structural reorganizations which are believed to be the key mechanisms for plasticity of amorphous materials.
Petäjä Viljo
Roux Stephane
Talamali Mehdi
Vandembroucq Damien
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