The position of a deformable inclusion within a given structure is identified in such a way as to maximise the structural stiffness under prescribed loads. Matrix and inclusion are supposed linear elastic and in frictionless unilateral contact at the interface. The problem is stated as an optimisation or inverse problem where the design variables are the co-ordinates of the hole-inclusion system. The strain energy due to the prescribed loads is minimised in order to provide the geometrical configuration corresponding to the maximum structural stiffness. The minimisation is performed by using a first-order non-linear unconstrained optimisation technique in which the cost function gradient is computed by the implicit differentiation method
Deformable matrix-inclusion system in unilateral contact: a BEM identification problem
MALLARDO, Vincenzo;ALESSANDRI, Claudio
1999
Abstract
The position of a deformable inclusion within a given structure is identified in such a way as to maximise the structural stiffness under prescribed loads. Matrix and inclusion are supposed linear elastic and in frictionless unilateral contact at the interface. The problem is stated as an optimisation or inverse problem where the design variables are the co-ordinates of the hole-inclusion system. The strain energy due to the prescribed loads is minimised in order to provide the geometrical configuration corresponding to the maximum structural stiffness. The minimisation is performed by using a first-order non-linear unconstrained optimisation technique in which the cost function gradient is computed by the implicit differentiation methodI documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
