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

Yildizdag, M. Erden; Barchiesi, Emilio; Dell’Isola, Francesco

doi:10.1177/1081286520916911

Cited by 53 publications

(21 citation statements)

References 93 publications

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“…A second stage will concern the experimental validation. Many experiments have been performed for testing the pantographic metamaterial [105][106][107][108][109][110][111]. Clearly, the model validation will be the more reliable the more accurate the experimental data and their analysis will be.…”

Section: Discussionmentioning

confidence: 99%

Contact interactions in complex fibrous metamaterials

Spagnuolo

Cazzani

2021

Continuum Mech. Thermodyn.

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In this work, an extension of the strain energy for fibrous metamaterials composed of two families of parallel fibers lying on parallel planes and joined by connective elements is proposed. The suggested extension concerns the possibility that the constituent fibers come into contact and eventually scroll one with respect to the other with consequent dissipation due to friction. The fibers interact with each other in at least three different ways: indirectly, through microstructural connections that could allow a relative sliding between the two families of fibers; directly, as the fibers of a family can touch each other and can scroll introducing dissipation. From a mathematical point of view, these effects are modeled first by introducing two placement fields for the two fiber families and adding a coupling term to the strain energy and secondly by adding two other terms that take into account the interdistance between the parallel fibers and the Rayleigh dissipation potential (to account for friction).

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Section: Discussionmentioning

confidence: 99%

Contact interactions in complex fibrous metamaterials

Spagnuolo

Cazzani

2021

Continuum Mech. Thermodyn.

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“…In this work, we assume that the graft has a microstructure very similar to the bone tissue; therefore, we model them, bone and graft, within the same formulation. However, we remark that the graft can be modeled with different mechanical properties to enhance its healing capability for future developments (see, e.g., [ 24 , 25 , 26 , 27 , 28 ]).…”

Section: Introductionmentioning

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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“…Many reduced‐order continuum models for describing the pantographic structures have been presented in the literature, such as those assuming inextensible fibers [36–40] or using discrete [41–45], semi‐discrete [46–48], and continuum models [49–53], and the meso‐ to macro‐scale homogenization models [42, 54, 55], see [56, 57] for a review. The bending of pantographic structures has been investigated numerically and experimentally in [58, 59]. Through a homogenization procedure [60], the behavior of the structure is estimated by the reduced‐order model [61, 62].…”

Section: Introductionmentioning

confidence: 99%

Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem

et al. 2021

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In this paper, a novel parameter determination technique is developed for material models in continuum mechanics aimed at describing metamaterials. Owing to their peculiar mechanical properties and behaviors, such as extreme elasticity or high strength‐to‐weight ratio, metamaterials are of interest to be simulated by reduced‐order modeling by means of the generalized mechanics. Such models incorporate constitutive parameters to be determined; we develop an automatized optimization process specifically for obtaining metamaterials parameters. The process aims at minimizing a mechanically meaningful error function measuring the deviation of the continuum from a detailed description by using the Trust Region Reflective optimization method. The parameter identification procedure is tested for an exemplary extension experiment of a metamaterial, proving to be robust and reliable.

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

Cited by 53 publications

References 93 publications

Contact interactions in complex fibrous metamaterials

Contact interactions in complex fibrous metamaterials

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

Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem

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