Derivation of a model of imperfect interface with finite strains and damage by asymptotic techniques: an application to masonry structures

Abstract

The proposed study aims to derive an imperfect interface model which couples finite strain and damaging. The governing equations are obtained via an asymptotic approach within the finite strain theory. Theoretical findings have been numerically validated within an original application to brick/mortar interfaces in masonry walls in shear loading conditions.

Derivation of imperfect interface models coupling damage and temperature

“…In the future, we intend to implement this model in a numerical software [21,4,25] to study a larger family of parameters and to propose more general damage evolution. In addition, we propose to study the hyperelastic case already partially addressed in [26,27].…”

Influence of masonry adhesion on mechanical performance of arches-walls

“…The purpose of numerical studies was to determine the dependence of the maximum stresses in the arch on the modulus of elasticity of the overlying masonry, which varied from the initial (for the period of the arch construction) to the minimum value. Reduction of the modulus of elasticity of the overlying masonry may be due to its degradation in the course of long-term operation, for example, as a result of thawing of ceramic stones, destruction of lime-sand mortar seams [17][18][19]. The elastic characteristics of the arch laying remained unchanged.…”

Towards nonlinear imperfect interface models including micro-cracks and smooth roughness

“…In former papers by authors ( [36,38,39,45] and references therein), the illustrated methodology has been applied for a planar elastic thin adhesive interphase, possibly anisotropic. Furthermore, in [37] this asymptotic technique within the small strains context was coupled to micromechanical homogenization concepts and Hertzian theory in order to formulate a model of contact between smoothly-rough surfaces in non-sliding conditions.…”

“…Particularly, an overview of simple techniques accounting for (smooth) roughness, micro-damage (microcracks) and geometrical nonlinearities is presented. Two main novelties are presented: (1) roughness is introduced in the asymptotic formulation within the framework of finite strain [36,39,44] as well as in the hard interface formulation; (2) two theories of micromechanical homogenization for micro-cracked materials, i.e., Kachanov's theory [30,48] and dilute scheme [4,35], are studied and compared.…”