Optimisation procedure for material parameter identification for masonry constitutive models

Abstract

7Constitutive models for masonry require a number of parameters to define material behaviour 8 with sufficient accuracy. It is common practice to determine such material parameters from 9 the results of various, relatively simple, small-scale laboratory experiments. However, the 10 effectiveness of determining material parameters that are representative of masonry from 11 small-scale experiments have found to be problematic. This paper investigates the material 12 parameter identification problem for masonry constitutive models. The methodology is based 13 on an inverse analysis containing an optimization procedure and surrogate modelling. The 14 general framework of the non-linear estimate methodology and the parameter identification 15 problems are discussed. 16 17

Macro scale material characterisation in support of meso scale modelling of masonry under uniaxial in-plane loading

“…The derivation of the macroscopic mechanical properties of masonry composites from experimental and numerical testing is a complicated matter (Sarhosis, 2016). This derivation requires one of two approaches to be adopted: either testing of entire masonry samples or testing of small material samples, i.e., units, mortar and couplets, and subsequent upscaling.…”

Crack growth in masonry: Numerical analysis and sensitivity study for discrete and smeared crack modelling

“…Some authors have proposed methods for material parameter identification of discrete cracking models based on optimization of the responses of large scale masonry elements (e.g. [18]). However, these methods are good strategies as long as large scale experimental tests are available, which is not the current case.…”

“…Moreover, according to experimental results presented by Van der Pluijm [22], c i can vary from 0.3 f t,i to 2.0 f t,i . 976 [15] , 3372 [15] , 4865 [15] , 6050 [18] , 7750 [6] , 8000 [20] , 12000 [15] , 16700 [23] N/mm *…”

“…Normal stiffness 𝑘 9,E 13.5 [18] , 82 [7] , 180 [6] , 550 [20] N/mm ' Shear stiffness 𝑘 O,E 5.9 [18] , 36 [7] , 80 [6] , 210 [20] N/mm ' Tensile strength 𝑓 /,E 0.1 [18,20] , 0.2 [15] , 0.25 [7] , 0.29 [6] , (0.3-0.9) [22] , 7.6 [24] N/mm * Tensile fracture energy (Mode I) 𝐺 /,E 0.01 [7,20,24] , 0.0115 [23] , 0.012 [15] , 0.02 [6] , (0.005 -0.02) [22] N/mm…”

Evaluation of different computational modelling strategies for the analysis of low strength masonry structures

“…UDEC parameters to best simulate pre-and post-cracking behaviour [27]. The UDEC material 25 parameters obtained using this approach are summarised in Table 2.…”