An elastic incompressible infinite body, is considered in a state of homogeneous in-plane deformation whose current configuration is characterised by two in-plane stretches. The incremental response of the material is linear and governed by two instantaneous moduli, which are functions of the in-plane stretches. At a generic stage of this deformation path, an incremental point load is superimposed so that the plane strain constraint is not violated. The corresponding problem is solved and the Green’s function for the infinite body is obtained. The solution is used to obtain a boundary integral formulation for velocity and hydrostatic stress rate in the framework of incremental elastic deformation superimposed upon a given homogeneous strain.

A boundary integral equation approach to incremental nonlinear elasticity

CAPUANI, Domenico
2001

Abstract

An elastic incompressible infinite body, is considered in a state of homogeneous in-plane deformation whose current configuration is characterised by two in-plane stretches. The incremental response of the material is linear and governed by two instantaneous moduli, which are functions of the in-plane stretches. At a generic stage of this deformation path, an incremental point load is superimposed so that the plane strain constraint is not violated. The corresponding problem is solved and the Green’s function for the infinite body is obtained. The solution is used to obtain a boundary integral formulation for velocity and hydrostatic stress rate in the framework of incremental elastic deformation superimposed upon a given homogeneous strain.
Non-linear elasticity; incompressible material; Green's function; plane-wave expansion; integral representation
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1193123
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact