Cohesive zone models (CZMs) have been recently used to describe the failure processes and the debonding phenomena within materials and interfaces [1,2]. In this work we apply an enhanced CZM, where a displacement-based non-local elastic interaction is introduced in the interfacial constitutive law. In this way, the debonding process is described taking into account the non-linear elastic local forces and the long-range interactions depending on the relative displacements. In order to model the non-local effects, we introduce in the constitutive equation of the interface, the elastic interaction forces depending on the relative displacements and distance-decaying functions ruling the amount of the interface interactions. In several works from the literature a power-law is adopted as distance-decaying function [3-5]. Such choice leads to fractional order operators in the non-local constitutive law. In the present study, a structural element composed by two beams partly bonded together by a non-local elastic interface is considered. For this case, a numerical solution is achieved by a finite element analysis introducing the proposed non- local constitutive law of the interface element.
Non-local interface model based on fractional operators
Dimitri, R.
;Pinnola, F. P.;Zavarise, G.;
2018-01-01
Abstract
Cohesive zone models (CZMs) have been recently used to describe the failure processes and the debonding phenomena within materials and interfaces [1,2]. In this work we apply an enhanced CZM, where a displacement-based non-local elastic interaction is introduced in the interfacial constitutive law. In this way, the debonding process is described taking into account the non-linear elastic local forces and the long-range interactions depending on the relative displacements. In order to model the non-local effects, we introduce in the constitutive equation of the interface, the elastic interaction forces depending on the relative displacements and distance-decaying functions ruling the amount of the interface interactions. In several works from the literature a power-law is adopted as distance-decaying function [3-5]. Such choice leads to fractional order operators in the non-local constitutive law. In the present study, a structural element composed by two beams partly bonded together by a non-local elastic interface is considered. For this case, a numerical solution is achieved by a finite element analysis introducing the proposed non- local constitutive law of the interface element.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
