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Analytical and Numerical Modelling of Mechanical Metamaterials for Novel Engineering Design

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Materials Simulation and Design".

Deadline for manuscript submissions: closed (31 December 2021) | Viewed by 6153

Special Issue Editor

Deparment of Engineering Methods and Sciences, University of Modena and Reggio Emilia, 42100 Reggio Emilia, Italy
Interests: mechanical metamaterials; auxetics; biomedical engineering; shape memory alloys; finite element analysis

Special Issue Information

Dear Colleagues,

It is my great pleasure to invite you to submit papers for this Special Issue on Mechanical Metamaterials. These materials, which have mechanical properties primarily dependent on their structure/geometry rather than material composition, have generated a great deal of interest due to their ability to exhibit anomalous properties which are not commonly found in nature. These properties make these systems ideal for implementation in many applications and offer a wide range of possibilities for novel engineering designs of materials/structures with tailorable deformation behaviors and mechanical properties.

This Special Issue will focus primarily on the design and/or study of mechanical metamaterials using analytical and numerical methods, including but not limited to finite element modelling, molecular dynamics, and optimization techniques amongst others. Articles on the design of systems showing auxetic (negative Poisson’s ratio), negative stiffness, negative thermal expansion, and negative compressibility ranging from the macroscale to the nanoscale are welcome, as well as the design of hierarchical structures and systems with improved properties obtained through structural modifications. Submissions on the implementation of metamaterials in applications are also highly encouraged.

Dr. Luke Mizzi
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Materials is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Mechanical metamaterials
  • Auxetics
  • Negative mechanical properties
  • Analytical modeling
  • Numerical modeling
  • Cellular materials
  • Finite element analysis

Published Papers (2 papers)

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Research

13 pages, 3599 KiB  
Article
Design of Hierarchical Architected Lattices for Enhanced Energy Absorption
by Mohamad Al Nashar and Alok Sutradhar
Materials 2021, 14(18), 5384; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14185384 - 17 Sep 2021
Cited by 13 | Viewed by 3155
Abstract
Hierarchical lattices are structures composed of self-similar or dissimilar architected metamaterials that span multiple length scales. Hierarchical lattices have superior and tunable properties when compared to conventional lattices, and thus, open the door for a wide range of material property manipulation and optimization. [...] Read more.
Hierarchical lattices are structures composed of self-similar or dissimilar architected metamaterials that span multiple length scales. Hierarchical lattices have superior and tunable properties when compared to conventional lattices, and thus, open the door for a wide range of material property manipulation and optimization. Using finite element analysis, we investigate the energy absorption capabilities of 3D hierarchical lattices for various unit cells under low strain rates and loads. In this study, we use fused deposition modeling (FDM) 3D printing to fabricate a dog bone specimen and extract the mechanical properties of thermoplastic polyurethane (TPU) 85A with a hundred percent infill printed along the direction of tensile loading. With the numerical results, we observed that the energy absorption performance of the octet lattice can be enhanced four to five times by introducing a hierarchy in the structure. Conventional energy absorption structures such as foams and lattices have demonstrated their effectiveness and strengths; this research aims at expanding the design domain of energy absorption structures by exploiting 3D hierarchical lattices. The result of introducing a hierarchy to a lattice on the energy absorption performance is investigated by varying the hierarchical order from a first-order octet to a second-order octet. In addition, the effect of relative density on the energy absorption is isolated by creating a comparison between a first-order octet lattice with an equivalent relative density as a second-order octet lattice. The compression behaviors for the second order octet, dodecahedron, and truncated octahedron are studied. The effect of changing the cross-sectional geometry of the lattice members with respect to the energy absorption performance is investigated. Changing the orientation of the second-order cells from 0 to 45 degrees has a considerable impact on the force–displacement curve, providing a 20% increase in energy absorption for the second-order octet. Analytical solutions of the effective elasticity modulus for the first- and second-order octet lattices are compared to validate the simulations. The findings of this paper and the provided understanding will aid future works in lattice design optimization for energy absorption. Full article
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11 pages, 5112 KiB  
Article
Controllable Hierarchical Mechanical Metamaterials Guided by the Hinge Design
by Krzysztof K. Dudek, Ruben Gatt, Miroslaw R. Dudek and Joseph N. Grima
Materials 2021, 14(4), 758; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14040758 - 05 Feb 2021
Cited by 11 | Viewed by 2379
Abstract
In this work, we use computer simulations (Molecular Dynamics) to analyse the behaviour of a specific auxetic hierarchical mechanical metamaterial composed of square-like elements. We show that, depending on the design of hinges connecting structural elements, the system can exhibit a controllable behaviour [...] Read more.
In this work, we use computer simulations (Molecular Dynamics) to analyse the behaviour of a specific auxetic hierarchical mechanical metamaterial composed of square-like elements. We show that, depending on the design of hinges connecting structural elements, the system can exhibit a controllable behaviour where different hierarchical levels can deform to the desired extent. We also show that the use of different hinges within the same structure can enhance the control over its deformation and mechanical properties, whose results can be applied to other mechanical metamaterials. In addition, we analyse the effect of the size of the system as well as the variation in the stiffness of its hinges on the range of the exhibited auxetic behaviour (negative Poisson’s ratio). Finally, it is discussed that the concept presented in this work can be used amongst others in the design of highly efficient protective devices capable of adjusting their response to a specific application. Full article
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