A 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry panels

Abstract

ReuseThis article is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs (CC BY-NC-ND) licence. This licence only allows you to download this work and share it with others as long as you credit the authors, but you can't change the article in any way or use it commercially. More information and the full terms of the licence here: https://creativecommons.org/licenses/ TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. ABSTRACTIn this paper, a 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry structures is proposed. Representative Elements consisting of one brick and few mortar layers are explicitly modelled using 3D solid finite elements obeying to plastic-damage constitutive laws (one for brick and one for mortar) conceived in the framework of nonassociated plasticity. This permits to represent the brick and mortar mechanical behaviour when cracking and/or crushing occur. Representative Elements are assembled, accounting for any actual 3D through-thickness arrangement of masonry, by means of zero-thickness cohesive interfaces based on the contact penalty method. In the pre-failure of interfaces, all the significant deformability of the system is addressed to the 3D finite elements. A Mohr-Coulomb failure surface with tension cut-off is adopted. The post-failure interfacial response is characterized by a cohesive behaviour in tension and a cohesive-frictional behaviour in shear, which appears consistent with small-scale tests outcomes. Experimental-numerical comparisons are provided for the in-plane and out-of-plane behaviour of masonry panels. The accuracy and the potentialities of the modelling approach are shown. The direct characterization of all the model parameters from small-scale tests, as well as their clear mechanical meaning constitute further appealing qualities of the model proposed.

Historic Barrel Vaults Undergoing Differential Settlements

“…This contact-based cohesive behaviour has been presented by the Authors in [25] and extended to the cyclic regime in [26] for masonry walls and piers. The model has shown a good efficiency [25] with respect to other block-based models. The compressive contact stress is computed by means of a Lagrange multiplier contact approach (contact constraint).…”

“…The cohesive contact behaviour is governed by an ad-hoc modification of the standard surface-based contact behaviour available in Abaqus [32]. This contact-based cohesive behaviour has been presented by the Authors in [25] and extended to the cyclic regime in [26] for masonry walls and piers. The model has shown a good efficiency [25] with respect to other block-based models.…”

“…In this framework, software tools based on limit analysis of rigid blocks have been lately developed for the 2D analysis of masonry bridges (LimitState: RING software originally developed in [23]), and for the limit analysis of masonry structures modelled as assemblages of 3D rigid blocks subjected to live loads and settlements (LiABlock_3D [24]). Very recently, part of the authors developed an effective damaging block-based model for the monotonic [25] and cyclic [26] analysis of masonry panels and full-scale terraced houses.…”

“…In this paper, the effects of differential settlements on historic masonry barrel vaults are investigated. An efficient 3D non-standard contact-based distinct blocks model, based on the advances presented in [25,26], is implemented to reproduce experiments on a scaled pointed barrel vault specimen (representative of late medieval barrel vaults from Scotland), under non-uniform differential settlement. The choice of Scottish vaults is because they follow a specific typology during 15 th century and they are plain yet very well built.…”

Blind-Test Numerical Simulation of Shake-Table Tests on Three-Leaf Masonry Walls: An Application of Lia Block_3d

“…The most complex approach is a "detailed micro-model": this approach, particularly suitable for the finite element analysis, considers the separation between the mortar and bricks and requires two different constitutive laws. It is closer to the real masonry behavior but has the disadvantage of the slowness of calculation [7,8]. The "simplified micro-modeling" approach represents a good alternative where the mortar contribution is neglected, and the contact interfaces play an essential role in the failure modes definition.…”