Extreme deformations of magneto- and electro-active membranes: A framework to model instabilities due to large multi-physics loads in thin structures
Lead Research Organisation:
University of Glasgow
Department Name: School of Engineering
Abstract
When structures undergo large deformation, there is an abrupt change in their structural response at the instability (or bifurcation) point. Structural instability often leads to mechanical failure and hence has been traditionally avoided in engineering design based on materials such as concrete and metal. Soft elastomers, on the other hand, can undergo large reversible deformation without failure. The bifurcation or instability phenomenon in this case can be used to our advantage in the design of actuation and energy conversion mechanisms. Magneto-rheological elastomers (MREs) and electro-active polymers (EAPs) are new types of soft smart materials that can deform in the presence of electromagnetic fields and therefore devices made using them provide multi-control mechanisms. A key limiting factor in their industry adoption is a poor understanding of instability under extreme loads due to complex nonlinear multi-physics coupling.
In this project, we propose to develop an enhanced understanding of the instability phenomenon in thin electro-mechanical and magneto-mechanical structures and deliver a mathematical and computational framework to model this process. This will allow us to investigate and simulate extreme deformation in MRE and EAP membranes, thereby significantly improving the tools that inform engineering design of soft robotic actuators, sensors, deformable lenses, and wave energy generators.
In this project, we propose to develop an enhanced understanding of the instability phenomenon in thin electro-mechanical and magneto-mechanical structures and deliver a mathematical and computational framework to model this process. This will allow us to investigate and simulate extreme deformation in MRE and EAP membranes, thereby significantly improving the tools that inform engineering design of soft robotic actuators, sensors, deformable lenses, and wave energy generators.
Publications
Ahmadi M
(2024)
Analytical modeling of the electrical conductivity of CNT-filled polymer nanocomposites
in Mathematics and Mechanics of Solids
Liu Z
(2024)
A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams
in European Journal of Mechanics - A/Solids
Liu Z
(2023)
Computational instability analysis of inflated hyperelastic thin shells using subdivision surfaces
in Computational Mechanics
Mehta S
(2022)
Wrinkling as a mechanical instability in growing annular hyperelastic plates
in International Journal of Mechanical Sciences
Mukherjee S
(2025)
Deformation and stability of initially stressed hyperelastic plates
in International Journal of Solids and Structures
Patra A
(2024)
Impact of compliant electrodes on the dynamics of electromagnetoactive membranes
in International Journal of Non-Linear Mechanics
Shahsavari D
(2025)
Surface instability of a finitely deformed magnetoelastic half-space
in International Journal of Non-Linear Mechanics
| Description | In this project, we have developed novel mathematical and computational models to mimic extremely large deformation of soft thin structures. Our focus has been on novel smart materials that can be activated by electromagnetic fields in addition to mechanical forces. The resulting mathematical details and computer codes have been freely shared and published in an open-source setting so that anyone can freely use and adapt them. |
| Exploitation Route | The computer codes have been made open source for wide usability. They are currently being packaged to be made part of the widely used award-winning deal.ii library. All the mathematical details are published in open-access papers. We have also set up collaborations with external industrial partners to provide assistance in adapting our models for use in ocean engineering and soft robotic systems. |
| Sectors | Aerospace Defence and Marine Digital/Communication/Information Technologies (including Software) Energy |
| Title | Finite element modelling of hyperelastic materials |
| Description | A suite of open source C++ codes to model large deformation of hyperelastic materials. Main features: - Large Elastic Deformation: analysis large deformations of hyperelastic materials. - Incompressibility: handles nearly-incompressible materials using mixed three-field formulations. - Plane-stress approximation: facilitates nonlinear FEM under plane-stress conditions. - Canonical Boundary Conditions: implements both affine and periodic boundary. conditions - 2D RVE Generation: utilizes pixel meshing technique to generate 2D representative volume elements (RVEs). - Benchmarking: Includes several examples to validate and benchmark the models. |
| Type Of Material | Computer model/algorithm |
| Year Produced | 2024 |
| Provided To Others? | Yes |
| Impact | These codes were developed within this project as part of Dr Masoud Ahmadi's PhD thesis. These codes underpinned a recent paper accepted in Acta Mechanica "Plane stress finite element modelling of arbitrary compressible hyperelastic materials". Dr Ahmadi has progressed as a PDRA at University College London. |
| URL | https://github.com/Masoud16ahm/madeal |
| Description | International summer school on nonlinear electro- and magneto-mechanics |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I organised a summer school titled "Nonlinear electro- and magneto-mechanics: Theory, computations, and experiments" at the International Centre for Mechanical Sciences, Udine, Italy. There were six lecturers (including myself) from USA, UK, Germany, France, and Spain and an overall 50 participants from all over the globe. This intense 5-day event allowed me to present our ongoing research on thin magneto- and electro-active membranes in a detailed manner to an engaged audience. The ensuing discussions have sparked multiple research ideas and we are currently pursuing a few of them by developing proposals for future funding. |
| Year(s) Of Engagement Activity | 2023 |
| URL | https://www.cism.it/en/activities/courses/C2304/ |
