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.

Boundary elements and shear bands in incremental elasticity

CAPUANI, Domenico
2004

Abstract

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.
1402017804
Finite deformations; non-linear elasticity; pre-stress; instability; bifurcation load; boundary element method; shear bands
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/525522
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