2021
DOI: 10.3390/ma14143974
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Bounding the Multi-Scale Domain in Numerical Modelling and Meta-Heuristics Optimization: Application to Poroelastic Media with Damageable Cracks

Abstract: It is very common for natural or synthetic materials to be characterized by a periodic or quasi-periodic micro-structure. This micro-structure, under the different loading conditions may play an important role on the apparent, macroscopic behaviour of the material. Although, fine, detailed information can be implemented at the micro-structure level, it still remains a challenging task to obtain experimental metrics at this scale. In this work, a constitutive law obtained by the asymptotic homogenization of a c… Show more

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Cited by 6 publications
(11 citation statements)
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“…A very detailed modelling and subsequent numerical analysis in terms of non-linear-elastic, elastic-plastic, visco-plastic or fracture mechanics are, therefore, necessary to identify the propagation of the failure. Another approach is to use novel hysteretic models, which are capable of simulating the complex, non-linear behaviour of materials [ 11 , 12 , 13 ]. In order to obtain a first assessment of a joint without complicated calculations, the authors proposed to simplify the numerical analysis to a linear-elastic model.…”
Section: Mathematical Model Of Timber With the Finite Element Impleme...mentioning
confidence: 99%
“…A very detailed modelling and subsequent numerical analysis in terms of non-linear-elastic, elastic-plastic, visco-plastic or fracture mechanics are, therefore, necessary to identify the propagation of the failure. Another approach is to use novel hysteretic models, which are capable of simulating the complex, non-linear behaviour of materials [ 11 , 12 , 13 ]. In order to obtain a first assessment of a joint without complicated calculations, the authors proposed to simplify the numerical analysis to a linear-elastic model.…”
Section: Mathematical Model Of Timber With the Finite Element Impleme...mentioning
confidence: 99%
“…A failure criterion is defined accounting for the concept of structural integrity of the overlying mechanical problem [ 2 ]. The criterion is as follows: if the force magnitude defined in Equation ( 9 ) decreases a given quantity from a peak, the sample is considered to be failed in the context of the overlying mechanical problem; Equation ( 10 ): where is the peak force ratio.…”
Section: Problem Descriptionmentioning
confidence: 99%
“…The 64 sample resolution surface envelope presents a jump in four regions of the x – y strain space. This results in a non-convex surface which is one of the reasons why meta-heuristics have been used to optimize the problem in previous works [ 2 ].…”
Section: Problem Descriptionmentioning
confidence: 99%
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