A multi-scale approach for the simultaneous shape and material optimisation of sandwich panels with cellular core

Montemurro, Marco; Catapano, Anita; Doroszewski, Dominique

doi:10.1016/j.compositesb.2016.01.030

Cited by 79 publications

(42 citation statements)

References 17 publications

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“…This homogenisation scheme has proven to be an efficient numerical procedure able to determine the equivalent properties of different heterogeneous materials characterised by complex EC topologies. The strain energy homogenisation technique of periodic media based on volume averaged stresses has already been utilised in other works, see [7,8]. The detailed procedure can be found in [4].…”

Section: Boundary Conditions For the Homogenisation Analysismentioning

confidence: 99%

Multi-axial fatigue behaviour of titanium periodic cellular structures produced by Selective Laser Melting (SLM)

et al. 2019

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Additive manufacturing techniques such as selective laser melting (SLM) allow for manufacturing periodic porous titanium structures having complex geometry. The mechanical properties of these structures with different elementary cell (ECs) designs have been already studied in literature. However, their fatigue behaviour is not yet well understood. This work aims at proposing a numerical approach to predict the periodic cellular structures fatigue behaviour under multiaxial loadings. The approach is based on an explicit description of the EC combined to an extreme statistical analysis making use of a fatigue indicator parameter to investigate (and compare) different EC configurations. On the other hand, the numerical model relies on the use of a general numerical homogenisation scheme to properly apply the multi-axial loading conditions to the EC at the mesoscopic scale. Results show that lattice fatigue strength is strongly affected by the relative density as well as by the geometrical features of the EC. *

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Section: Boundary Conditions For the Homogenisation Analysismentioning

confidence: 99%

Multi-axial fatigue behaviour of titanium periodic cellular structures produced by Selective Laser Melting (SLM)

et al. 2019

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“…The GA BIANCA has already been successfully applied to solve different kinds of real-world engineering problems, see for instance [33,[35][36][37].…”

Section: The Numerical Strategymentioning

confidence: 99%

Characterisation of composite elastic properties by means of a multi-scale two-level inverse approach

Cappelli

Montemurro

Dau

et al. 2018

Composite Structures

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This work deals with the problem of characterising the elastic properties of a composite material at both mesoscopic (ply-level) and microscopic (constitutive phases-level) scales. This goal is attained by means of an adequate multi-scale identification strategy (MSIS) which aims at identifying the constitutive properties, at each relevant scale, by exploiting the information restrained in the macroscopic dynamic response of the composite. In this background, the multi-scale identification problem is split into two interdependent sub-problems which are stated, at both levels, as constrained minimisation problems. At the first level the goal is the characterisation of the lamina properties by minimising the distance between the numerical and the reference harmonic responses of the composite. The second level problem aims at identifying the elastic properties of both fibre and matrix by minimising the distance between the effective elastic properties evaluated through a homogenisation process and those provided by the first-level inverse problem. The MSIS is based on a special global hybrid optimisation tool and on the strain energy homogenisation method of periodic media. Its effectiveness is proven through a meaningful benchmark. 12 ν f 23 G f 12 [MPa] E m [MPa] ν m 276000.0 17300.0 0.250 0.428 11240.0 4140.0 0.350

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“…The GA BIANCA was already successfully applied to solve dierent kinds of realworld engineering problems, see for example [5,25]. As shown in (11), the aim of the genetic calculation is to provide a potential sub-optimal point in the design space which constitutes the initial guess for the subsequent phase, i.e.…”

Section: Numerical Strategymentioning

confidence: 99%

“…In order to apply the MS2L numerical optimisation strategy presented in [5,25] to the case of VAT composites some major modications have been introduced. Regarding the rst-level problem these modications focus on:…”

Section: Mathematical Formulation Of the Rst-level Problemmentioning

confidence: 99%

“…The authors and their co-workers already made use of the MS2L procedure for the design and optimisation of several classes of hybrid anisotropic structures in the past [4,5,6,17,18,19,20,25]. The MS2L design strategy employed in the previous works is a very general methodology for designing composites structures: it is characterised on the one hand by the refusal of the simplifying hypotheses and classical rules usually employed in the framework of the design process of laminates, and on the other hand by a proper and complete mathematical formalisation of the optimum design problem at each characteristic scale (micro-meso-macro).…”

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A New Paradigm for the Optimum Design of Variable Angle Tow Laminates

Montemurro

Catapano

2016

Variational Analysis and Aerospace Engineering

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A multi-scale approach for the simultaneous shape and material optimisation of sandwich panels with cellular core

Cited by 79 publications

References 17 publications

Multi-axial fatigue behaviour of titanium periodic cellular structures produced by Selective Laser Melting (SLM)

Multi-axial fatigue behaviour of titanium periodic cellular structures produced by Selective Laser Melting (SLM)

Characterisation of composite elastic properties by means of a multi-scale two-level inverse approach

A New Paradigm for the Optimum Design of Variable Angle Tow Laminates

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