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