Boundary Elements and Shear Bands in Incremental Elasticity
Perturbations in terms of small elastic deformations superimposed upon a given homogeneous strain are analysed within a boundary element framework. This is based on a recently-developed Green’s function and boundary integral equations for non-linear incremental elastic deformations. Plane strain deformations are considered of an incompressible hyperelastic solid within the elliptic range. The proposed approach is shown to yield bifurcation loads and modes via a perturbative approach. Numerical treatment of the problem is detailed and applications to multilayers are shown. Relations between shear band formation and global instabilities are given evidence.
KeywordsBoundary elements incremental elasticity bifurcation shear bands
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- Biot, M A (1965) Mechanics of incremental deformations. J. Wiley and Sons, New York.Google Scholar
- Bigoni, D and Gei, M (1999) On bifurcation of a layered, orthotropic, elastic medium. XXVIII AIAS National Congress, Vicenza, Italy, 8–11 September 1999.Google Scholar
- Bigoni, D (2000) Bifurcation and instability of non-associative elastic-plastic solids. CISM Lecture Notes No. 414 “Material Instabilities in Elastic and Plastic Solids”, H. Petryk, Ed. Springer-Verlag, Wien-New York.Google Scholar