Numerical derivation of homogenised constitutional relation of mortar-less interlocking brick wall for dynamic response prediction

Abstract

This paper introduces a homogenisation technique for dry-stacking interlocking masonry structures to improve the modelling and computational efficiency when such interlocking brick walls are subjected to blast loading. Based on periodic construction pattern, a representative volume element (RVE) is derived, whose equivalent material properties are determined through numerical modelling under different stress states. Nonlinear material properties and strain rate effects are both considered in the numerical simulations of the RVE. The hardening and softening behaviour of the RVE are analysed using compressive and tensile damage scalars based on the theory of continuum damage mechanics. To verify the suitability and accuracy of the obtained equivalent material properties, interlocking brick walls subjected to TNT blast loading, gas explosion loading and impact loading are modelled using the homogenised material properties. The results are compared with those obtained from detailed numerical models of the interlocking brick wall and the test data for the impact loading case. It is found that the developed homogenisation approach could significantly reduce computational resource.