Integrated Material-Modelling-Manufacturing paradigm for Mechanical Meta-regulators (I5M)
Lead Research Organisation:
Nottingham Trent University
Department Name: School of Science & Technology
Abstract
Mechanical metamaterials are materials that are specially designed to have unprecedented mechanical properties and multi-physics characteristics beyond those of classical natural materials. The properties of mechanical metamaterials are defined by their topology and geometrical architecture, and the characteristics of the materials which they are made from. Changing any of these directly affects the structural response and allows us to explore new areas in the material property space. Interesting properties that metamaterials exhibit include zero and negative Poisson's ratio leading to unexpected behaviour when subjected to mechanical stresses and strains, zero and negative stiffness, ability to absorb/dissipate energy and ability to isolate vibration. These properties give metamaterials high industrial value as illustrated by the global metamaterials market, valued at $1.5 billion in 2022 and forecast to grow to $22.9 billion by 2028.
The focus of I5M is Mechanical Constant-Force MetaMaterials (CFMMs). These can deliver a quasi-constant output force over a range of input displacements (i.e., they can apply a constant pressure on a surface or object). This means they can act as passive force regulation and vibration isolation devices without any need for sensors and complex electromechanical control systems and have potential to be used in many applications such as robotic automation, overload protection, and precision manipulation. Despite recent advances in materials and manufacturing, CFMM development suffers drawbacks such as limited material selection and working range, unrealistic theoretical assumptions, high computational cost, need for assembly, material waste, and ignored fatigue performance. These drawbacks mean that a huge portion of the CFMM design space remains untouched. To address these challenges, a methodologic breakthrough is required that seamlessly integrates the four pillars of CFMM development: material, modelling, design, and manufacturing.
Hyper-ThermoVisco-Pseudoelastic (HTVP) materials like Thermoplastic Polyurethane (TPU) have a nonlinear stress-strain behaviour and possess an inherent energy dissipation capability with excellent toughness and cyclic fatigue resistance. Employing the inherent energy dissipation feature of HTVP materials and unique behaviour of CFMMs along with advances in 3D printing can realise CFMMs with tailorable static and dynamic properties and open a vast design space meeting desired characteristics. This project aims to exploit inherent energy dissipation features of HTVP materials and develop an Integrated Material-Modelling-Manufacturing paradigm to create a new class of Mechanical metamaterials so-called Meta-regulators (i.e., I5M) with minimal computational cost, material usage and expert interference.
I5M will break new ground by creating and exploiting breakthroughs in HTVP materials with variable soft-to-stiff properties, triaxial normal-shear constitutive modelling, physics-informed machine learning for evolutionary inverse design, and sustainable 3D printing. I5M technology will represent a fundamentally new field of sustainable metamaterials paradigm and create passive HTVP meta-regulators with built-in functionalities such as with programmable quasi-zero stiffness, quasi-constant force regulation, tuneable vibration isolation and fatigue resistance. I5M will minimise the expert interference, for example, I5M will simply receive constant force-displacement response and vibration transmissibility as input, determine optimum material and geometrical parameters, and then 3D print a meta-regulator meeting those requirements. I5M will validate HTVP meta-regulators functionality via 4 demonstrators for healthcare, automotive, aerospace and sport industries.
The focus of I5M is Mechanical Constant-Force MetaMaterials (CFMMs). These can deliver a quasi-constant output force over a range of input displacements (i.e., they can apply a constant pressure on a surface or object). This means they can act as passive force regulation and vibration isolation devices without any need for sensors and complex electromechanical control systems and have potential to be used in many applications such as robotic automation, overload protection, and precision manipulation. Despite recent advances in materials and manufacturing, CFMM development suffers drawbacks such as limited material selection and working range, unrealistic theoretical assumptions, high computational cost, need for assembly, material waste, and ignored fatigue performance. These drawbacks mean that a huge portion of the CFMM design space remains untouched. To address these challenges, a methodologic breakthrough is required that seamlessly integrates the four pillars of CFMM development: material, modelling, design, and manufacturing.
Hyper-ThermoVisco-Pseudoelastic (HTVP) materials like Thermoplastic Polyurethane (TPU) have a nonlinear stress-strain behaviour and possess an inherent energy dissipation capability with excellent toughness and cyclic fatigue resistance. Employing the inherent energy dissipation feature of HTVP materials and unique behaviour of CFMMs along with advances in 3D printing can realise CFMMs with tailorable static and dynamic properties and open a vast design space meeting desired characteristics. This project aims to exploit inherent energy dissipation features of HTVP materials and develop an Integrated Material-Modelling-Manufacturing paradigm to create a new class of Mechanical metamaterials so-called Meta-regulators (i.e., I5M) with minimal computational cost, material usage and expert interference.
I5M will break new ground by creating and exploiting breakthroughs in HTVP materials with variable soft-to-stiff properties, triaxial normal-shear constitutive modelling, physics-informed machine learning for evolutionary inverse design, and sustainable 3D printing. I5M technology will represent a fundamentally new field of sustainable metamaterials paradigm and create passive HTVP meta-regulators with built-in functionalities such as with programmable quasi-zero stiffness, quasi-constant force regulation, tuneable vibration isolation and fatigue resistance. I5M will minimise the expert interference, for example, I5M will simply receive constant force-displacement response and vibration transmissibility as input, determine optimum material and geometrical parameters, and then 3D print a meta-regulator meeting those requirements. I5M will validate HTVP meta-regulators functionality via 4 demonstrators for healthcare, automotive, aerospace and sport industries.
Organisations
- Nottingham Trent University (Lead Research Organisation)
- National Composites Centre (NCC) (Collaboration)
- Nottingham University Hospitals NHS Trust (Collaboration)
- Far-UK Ltd (Project Partner)
- General Lattice (Project Partner)
- RHEON LABS (Project Partner)
- UK Metamaterial Network (Project Partner)
- ADVANCED MANUFACTURING RESEARCH CENTRE (Project Partner)
- Nottingham University Hospitals NHS Trust (Project Partner)
- Manufacturing Technology Centre (United Kingdom) (Project Partner)
- National Composites Centre (Project Partner)
Publications
Ahangari A
(2024)
Development and 4D printing of magneto-responsive PMMA/TPU/Fe3O4 nanocomposites with superior shape memory and toughness properties
in European Polymer Journal
Barua A
(2025)
Biomimetic freestanding microfractals for flexible electronics
in npj Flexible Electronics
Bodaghi M
(2024)
4D printing roadmap
in Smart Materials and Structures
Doostmohammadi H
(2024)
4D printing and optimization of biocompatible poly lactic acid/poly methyl methacrylate blends for enhanced shape memory and mechanical properties.
in Journal of the mechanical behavior of biomedical materials
Hamzehei R
(2024)
Mastering the art of designing mechanical metamaterials with quasi-zero stiffness for passive vibration isolation: a review
in Smart Materials and Structures
Hamzehei R
(2025)
Bio-inspired design and 4D Printing of Multi-stiffness Wavy Metamaterial Energy Absorbers/Dissipators with Shape Recovery Features
in Engineering Structures
Jin L
(2025)
Finite element analysis, machine learning, and digital twins for soft robots: state-of-arts and perspectives
in Smart Materials and Structures
Jolaiy S
(2024)
Limpet-inspired design and 3D/4D printing of sustainable sandwich panels: Pioneering supreme resiliency, recoverability and repairability
in Applied Materials Today
Khalid M
(2024)
3D printing of active mechanical metamaterials: A critical review
in Materials & Design
| Description | 4D Printing Roadmap: Advanced Metamaterials for a Resilient and Sustainable Future |
| Geographic Reach | Multiple continents/international |
| Policy Influence Type | Contribution to new or improved professional practice |
| Impact | I contributed to the roadmapping session for advanced sustainable manufacturing alongside industry stakeholders in the East Midlands Investment Zone in February 2025 (https://www.eastmidlands-cca.gov.uk/what-we-do/east-midlands-investment-zone/). During this session, I observed strong interest in integrating sustainable metamaterials into industrial applications, supporting net-zero manufacturing and the development of next-generation resilient structures. |
| URL | https://iopscience.iop.org/article/10.1088/1361-665X/ad5c22/meta |
| Description | Collaboration with National Composites Centre (NCC) |
| Organisation | National Composites Centre (NCC) |
| Country | United Kingdom |
| Sector | Private |
| PI Contribution | The NTU research team has contributed expertise in metamaterial design and additive manufacturing, developing bio-composite metamaterials with tuneable stiffness, shape recovery, and enhanced mechanical properties. We have created latticed and cellular architectures, improving energy absorption, flame resistance, and adaptive behaviour. This collaboration with the National Composites Centre has enabled scalable additive manufacturing validation, ensuring these metamaterials meet industrial standards for lightweight, resilient meta-structures in automotive, aerospace, logistics, construction, and furniture sectors. Our work advances sustainable, programmable materials, supporting net-zero manufacturing and next-generation energy absorbing/dissipating structural elements. |
| Collaborator Contribution | The National Composites Centre have contributed by defining industry requirements, ensuring standardisation, assessing sustainability, and validating scalability of the developed metamaterials. They have provided guidance on manufacturing feasibility and compliance with industrial standards to support sustainable, large-scale production. Their expertise has ensured that our tuneable, energy absorbing metamaterials align with real-world applications in transport, automotive, and advanced manufacturing, accelerating industry adoption. |
| Impact | This collaboration has led to a peer-reviewed publication on bio-composite metamaterials (https://doi.org/10.1016/j.polymertesting.2025.108709). It is multi-disciplinary, combining materials science, mechanical engineering, and manufacturing technology to support net-zero manufacturing, lightweight meta-structures, and energy absorbing composites for automotive, aerospace, logistics, construction, and furniture. |
| Start Year | 2024 |
| Description | Collaboration with Nottingham University Hospitals NHS Trust |
| Organisation | Nottingham University Hospitals NHS Trust |
| Country | United Kingdom |
| Sector | Academic/University |
| PI Contribution | The NTU research team has collaborated with NUH NHS on the technical development of mechanical metamaterials, focusing on the technological advancement of patient-specific solutions. Our work includes designing and optimising metamaterials to enhance pressure redistribution, relieve pain, and improve comfort, ultimately contributing to better treatment outcomes for patients. |
| Collaborator Contribution | NUH NHS has been a project partner since the project's inception, providing essential clinical insights and facilitating connections with other clinicians. They have offered access to patients and observational studies at no cost, ensuring real-world relevance. Recently, their support has extended to Patient and Public Involvement (PPI) activities, enhancing the project's engagement with end-users. |
| Impact | This collaboration has led to the development of patient-specific mechanical metamaterials aimed at enhancing pressure redistribution, pain relief, and comfort. It is a multi-disciplinary partnership involving engineering (metamaterials design) and healthcare (clinical insights and patient care). Additionally, the project has facilitated patient engagement through PPI activities, ensuring the research remains aligned with real-world clinical needs. |
| Start Year | 2024 |
| Description | Industry Interest in the Printed Sustainable Meta-bio-composites |
| Form Of Engagement Activity | A press release, press conference or response to a media enquiry/interview |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Industry/Business |
| Results and Impact | In February 2025, our research on the printed meta-bio-composites was featured on 3Printr.com. The article outlined how these materials enhance mechanical strength, flame retardancy, and energy dissipation properties, making them ideal for sustainable applications in automotive, construction, and furniture. Following this coverage, we received three industry inquiries regarding the potential commercialisation of constant-force metamaterials for furniture and ergonomic comfort applications. Discussions are exploring collaboration and investment opportunities, expanding the industrial impact of the project. |
| Year(s) Of Engagement Activity | 2025 |
| URL | https://www.3printr.com/improved-3d-printing-materials-more-stability-thanks-to-natural-fibers-56785... |
| Description | Keynote Address at 4D Materials Design and Additive Manufacturing Conference 2024 |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Industry/Business |
| Results and Impact | I delivered a keynote address on 'Resilient, Recoverable, and Repairable Meta-Structures' at the 4D Materials Design and Additive Manufacturing Conference 2024 in Ajaccio, France. The talk highlighted advancements in 3D/4D-printed metamaterials, attracting strong interest from academia and industry. This engagement led to a partnership with Fibrenamics to advance the Technology Readiness Level of metamaterials for robotics applications and commercialisation. The collaboration focuses on optimising material properties and design, facilitating real-world deployment of meta-structures in advanced robotics and automation. |
| Year(s) Of Engagement Activity | 2024 |
| URL | https://4dprintings.com/events/4dmda2024/ |
| Description | Open Research Practice in 4D Design and Additive Manufacturing of Thermo-mechanical Metamaterials |
| Form Of Engagement Activity | A press release, press conference or response to a media enquiry/interview |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Postgraduate students |
| Results and Impact | The Open Research Practice in 4D Design and Additive Manufacturing of Thermo-mechanical Metamaterials supports the EPSRC-funded I5M project, which aims to develop Metamaterial Regulators for advanced engineering applications. By openly sharing data, methodologies, and findings, the initiative enhanced reproducibility, accelerated collaboration, and increased the adoption of metamaterials across academia and industry. Engagement through workshops, public talks, and media outreach reached an international audience of postgraduate students, academics, policymakers, and industry professionals, influencing research directions and fostering innovation in sustainable, programmable metamaterials. |
| Year(s) Of Engagement Activity | 2024 |
| URL | https://www.ntu.ac.uk/research/groups-and-centres/projects/open-research-practice-in-4d-design-and-a... |
| Description | Physics World Podcast Interview - 4D Printing & Metamaterials |
| Form Of Engagement Activity | A press release, press conference or response to a media enquiry/interview |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Industry/Business |
| Results and Impact | In July 2024, I was interviewed by Dr. Hamish Johnston, Editor of Physics World, for their weekly podcast. The discussion focused on metamaterials and 3D/4D printing, highlighting their transformative applications in coronary heart disease treatment, flatpack furniture design, and self-healing metamaterial asphalt. The purpose was to increase awareness of smart materials, metamaterials and manufacturing innovations among UG/PG students, scientists, policymakers, and industry leaders. The interview expanded the reach of the I5M research, fostering interest in 3D/4D-printed metamaterials and stimulating interdisciplinary collaboration in academia and industry. |
| Year(s) Of Engagement Activity | 2024 |
| URL | https://physicsworld.com/a/diamond-dust-for-mri-4d-printing-creates-advanced-devices/ |
| Description | Presentation at Metamaterials in the Real World Industry Showcase 2024 hosted by the UK Metamaterials Network at Institute of Physics in London |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Industry/Business |
| Results and Impact | In December 2024, I presented my research on the bio-inspired thermo-mechanical metamaterials at the Metamaterials in the Real World Industry Showcase 2024, hosted by the UK Metamaterials Network at the Institute of Physics, London. The presentation demonstrated how the proposed tuneable metamaterials can offer force and stiffness regulation in the large deformation regime. Over 30 industry and academic attendees engaged with the work, expressing interest in its practical applications. Notably, BAE Systems (Hertfordshire) showed strong interest in the technology, leading to constructive discussions for further investment and collaboration, expanding the industrial impact of the I5M project. |
| Year(s) Of Engagement Activity | 2024 |
| URL | https://metamaterials.network/metamaterials-in-the-real-world-industry-showcase-2024/ |
| Description | Public Engagement on 4D Printing and Latticing in The Conversation |
| Form Of Engagement Activity | A magazine, newsletter or online publication |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Industry/Business |
| Results and Impact | This news article highlighted advances in 4D printing, particularly in latticed metamaterials with stiffness regulation and shape recovery. It reached over 7,000 readers in three weeks, generating two industry inquiries about implementation and over 10 academic collaboration requests. The piece increased industry awareness of adaptive materials and fostered cross-disciplinary research discussions, supporting the translation of 4D printing innovations into practical applications. |
| Year(s) Of Engagement Activity | 2025 |
| URL | https://theconversation.com/sofas-that-self-assemble-when-you-heat-them-up-how-4d-printing-could-tra... |
