2019
DOI: 10.1016/j.compositesb.2018.11.032
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Topology optimization-guided stiffening of composites realized through Automated Fiber Placement

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Cited by 41 publications
(10 citation statements)
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“…The domain of the design variables is defined by the design constrains (1) 3 , while additional constraint equations can be stated as in (1) 2 in terms of the state functions s j t ð Þ, which depend on the design variables. In the work by Esposito et al [20], an analytical solution is provided for an orthotropic layer where the optimal orientation of the fibers has been determined by minimizing the mean compliance of the structure under either prescribed tractions or imposed displacements. By considering the total potential energy U, the weak formulation of the linear elastostatic problem for a plane structure under the action of both body forces f x ð Þ; x 2 X, surface tractions t x ð Þ; x 2 oX t and prescribed displacements u 0 x ð Þ; x 2 oX u , requires that…”
Section: Optimal Orientation In Fr Composites: Remarks On Problem Formentioning
confidence: 99%
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“…The domain of the design variables is defined by the design constrains (1) 3 , while additional constraint equations can be stated as in (1) 2 in terms of the state functions s j t ð Þ, which depend on the design variables. In the work by Esposito et al [20], an analytical solution is provided for an orthotropic layer where the optimal orientation of the fibers has been determined by minimizing the mean compliance of the structure under either prescribed tractions or imposed displacements. By considering the total potential energy U, the weak formulation of the linear elastostatic problem for a plane structure under the action of both body forces f x ð Þ; x 2 X, surface tractions t x ð Þ; x 2 oX t and prescribed displacements u 0 x ð Þ; x 2 oX u , requires that…”
Section: Optimal Orientation In Fr Composites: Remarks On Problem Formentioning
confidence: 99%
“…The above discussed pioneering contributions have been recently extended to a wide range of design problems, including heat transfer [11,49], acoustics [18], fluid flow [9], electromagnetics [13,16], biomechanics [22,28] and many other multi-physics applications [20,30,38,50].…”
Section: Introductionmentioning
confidence: 99%
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“…The interface, the joints, or the surfaces, have great importance in graded material because the stress is usually limited to these locations. In these cases, the specific zone is the so-called "graded zone" and, if the volume fractions of the constituent materials change, by a certain smooth function, the material is defined as a Functionally Graded Material, FGM [19,20,21]. Furthermore, several benchmarks and reports calving models using Linear Elastic Fracture Mechanics (LEFM) are presented in [22].…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, in the CFAO technique, each point of the material can have its specific fibre orientation and, therefore the fibre orientation can continuously vary within the domain. 27,28 The presented methodology belongs to this last family of fibre optimisation approaches.…”
Section: Introductionmentioning
confidence: 99%