Multipatch discontinuous Galerkin isogeometric analysis of composite laminates

Yildizdag, M. Erden; Demirtas, Murat; Ergin, Ahmet

doi:10.1007/s00161-018-0696-9

Cited by 31 publications

(15 citation statements)

References 45 publications

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“…General discussions to investigate the damage using higher-gradient theories can be found in [54][55][56][57]. Problems related to modeling and the simulation of metamaterials, like those presented in this paper, can be greatly simplified by the introduction of appropriate numerical tools [58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74]. Finally, the problem that has been briefly presented in this paper can be investigated and many of its applications can be designed and tested.…”

Section: Discussionmentioning

confidence: 99%

Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?

Spagnuolo

Yildizdag

Andreaus

et al. 2020

Mathematics and Mechanics of Solids

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The central theme of this study is to investigate a remarkable capability of a second-gradient continuum model developed for pantographic structures. The model is applied to a particular type of this metamaterial, namely the wide-knit pantograph. As this type of structure has low fiber density, the applicability of such a continuum model may be questionable. To address this uncertainty, numerical simulations are conducted to analyze the behavior of a wide-knit pantographic structure, and the predicted results are compared with those measured experimentally under bias extension testing. The results presented in this study show that the numerical predictions and experimental measurements are in good agreement; therefore, in some useful circumstances, this model is applicable for the analysis of wide-knit pantographic structures.

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Section: Discussionmentioning

confidence: 99%

Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?

Spagnuolo

Yildizdag

Andreaus

et al. 2020

Mathematics and Mechanics of Solids

Self Cite

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“…This extra kinematic descriptor is constrained to be equal to the gradient of displacement field. We are aware of the fact that such a numerical code can be optimized for lower computational burdens, for instance, by using an isogeometric approach (as those presented in Fischer et al [74], Cuomo et al [75], Cazzani et al [76][77][78][79], Niiranen et al [80][81][82], Balobanov and Niiranen [83], Khakalo and Niiranen [84,85], Yaghoubi et al [86], Yildizdag et al [87,88], Capobianco et al [89], Greco et al [90], and Balobanov et al [91]).…”

Section: Mathematical Model: Macro-level Second Gradient Model For Plmentioning

confidence: 99%

Three-point bending test of pantographic blocks: numerical and experimental investigation

Yildizdag

Barchiesi

Dell’Isola

2020

Mathematics and Mechanics of Solids

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The equilibrium forms of pantographic blocks in a three-point bending test are investigated via both experiments and numerical simulations. In the computational part, the corresponding minimization problem is solved with a deformation energy derived by homogenization within a class of admissible solutions. To evaluate the numerical simulations, series of measurements have been carried out with a suitable experimental setup guided by the acquired theoretical knowledge. The observed experimental issues have been resolved to give a robust comparison between the numerical and experimental results. Promising agreement between theoretical predictions and experimental results is demonstrated for the planar deformation of pantographic blocks.

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“…As commonly done for the beam formulation, a micromorphic approach based on the use of Lagrange multipliers allow us to treat the second gradient model in the same framework as the standard first gradient model [ 83 ]. Alternatively, one can implement an ad hoc numerical formulation that guarantees an inherent high continuity for the unknown fields, namely the isogeometric analysis (see, e.g., [ 84 , 85 , 86 , 87 , 88 , 89 , 90 ]). A novel numerical algorithm has recently been developed based on a particle system that has shown a beneficial capability to model second gradient materials and multi-crack evolution [ 91 , 92 ].…”

Section: An Illustrative Theoretical Case: Numerical Implementatiomentioning

confidence: 99%

Bio-Inspired Design of a Porous Resorbable Scaffold for Bone Reconstruction: A Preliminary Study

2021

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The study and imitation of the biological and mechanical systems present in nature and living beings always have been sources of inspiration for improving existent technologies and establishing new ones. Pursuing this line of thought, we consider an artificial graft typical in the bone reconstruction surgery with the same microstructure of the bone living tissue and examine the interaction between these two phases, namely bone and the graft material. Specifically, a visco-poroelastic second gradient model is adopted for the bone-graft composite system to describe it at a macroscopic level of observation. The second gradient formulation is employed to consider possibly size effects and as a macroscopic source of interstitial fluid flow, which is usually regarded as a key factor in bone remodeling. With the help of the proposed formulation and via a simple example, we show that the model can be used as a graft design tool. As a matter of fact, an optimization of the characteristics of the implant can be carried out by numerical investigations. In this paper, we observe that the size of the graft considerably influences the interaction between bone tissue and artificial bio-resorbable material and the possibility that the bone tissue might substitute more or less partially the foreign graft for better bone healing.

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Multipatch discontinuous Galerkin isogeometric analysis of composite laminates

Cited by 31 publications

References 45 publications

Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?

Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?

Three-point bending test of pantographic blocks: numerical and experimental investigation

Bio-Inspired Design of a Porous Resorbable Scaffold for Bone Reconstruction: A Preliminary Study

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