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A boundary element technique for incremental, non-linear elasticity: Part I: Formulation

✍ Scribed by M. Brun; D. Capuani; D. Bigoni

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
270 KB
Volume
192
Category
Article
ISSN
0045-7825

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✦ Synopsis

Incremental elastic deformations superimposed upon a given homogeneous strain are analyzed with a boundary element technique. This is based on a recently-developed GreenΓ•s function for non-linear incremental elastic deformations. Plane strain perturbations are considered of a broad class of incompressible material behaviours (including hyper-, hypoelastic and Navier-Stokes constitutive equations) within the elliptic range. Numerical treatment of the problem is detailed. A possibility of employing the method in the fully non-linear range is outlined, which yields a boundary element approach where the use of domain integrals is avoided, at least in a conventional sense. The methods for bifurcation and shear band analyses will be reported in Part II.

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