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Mechanics of Advanced Materials and Metamaterials

Mechanics of Electroactive Materials

Principal Investigator
David Codony
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This research group develops theoretical and computational models for flexoelectricity—the coupling between electrical polarization and strain gradients—to understand fundamental principles and design next-generation electromechanical metamaterials and devices.

The Mechanics of Electroactive Materials Group at CIMNE specializes in developing theoretical and computational models to investigate flexoelectricity in solids—a phenomenon where electrical polarization is coupled with strain gradients. The group employs primarily continuum models while exploring multiscale aspects in close collaboration with experimental researchers, aiming to understand how strain gradients influence the physics of dielectrics and to establish engineering principles for next-generation electromechanical metamaterials.

The group has established a comprehensive theoretical framework for flexoelectricity in both infinitesimal and finite deformation, clarifying the connections between different formulation families and their physical interpretations. Researchers have developed advanced discretization methods, including immersed B-splines and C0 penalty approaches, to efficiently solve the fourth-order partial differential equation systems arising in flexoelectricity across various geometries, materials, and electrode configurations.

 

Additional research directions include reduced theories for non-linear flexoelectric beams and shells, first-principles electronic structure calculations of flexoelectric systems, and investigation of fundamental flexoelectricity manifestations in torsion mechanics and strain/electric field singularities such as cracks and ferroelectric domain walls. The group also focuses on designing flexoelectric devices and metamaterials that achieve effectively piezoelectric properties from non-piezoelectric components.

An emerging research area is the theoretical and computational modeling of flexo-photovoltaics, aiming to design and optimize a new family of solar cells by understanding the interplay between mechanical deformation and photovoltaic properties. Through this diverse research portfolio, the group advances the fundamental understanding of electroactive materials while exploring their potential for innovative engineering applications.

Research areas

Theoretical framework of flexoelectricity

Develop a comprehensive theoretical framework for flexoelectricity in infinitesimal and finite deformation, establishing the precise connections between the different families of formulations, their physical interpretation and the physical meaning of the corresponding set of high-order boundary conditions.

Efficient numerical solution of high-order general electromechanics problems

Development of advanced discretization methods, including immersed B-splines and C0 penalty, for the efficient solution of the 4th-order PDE system arising in flexoelectricity in general geometries, material and electrode configurations.

Reduced theories of flexoelectric beams and shells

Development of reduced theories for non-linear flexoelectric beams and non-linear shells to gain understanding of the physics and aid the design of new devices.

Flexoelectricity from first principles

Development of electronic structure calculations of flexoelectric systems to establish a precise connection with continuum models both guiding the development of enriched models accounting for nanoscale effects and finite surface effects and characterizing continuum model parameters.

Fundamental manifestation of flexoelectricity in torsion mechanics

Development of new methods to mobilize flexoelectricity under torsion to provide understanding about the fundamental physics and flexoelectricity characterization tools.

Fundamental manifestation of flexoelectricity in strain and electric field singularities: cracks, ferroelectric domain walls, creasing, AFM

Exploration of the physics of flexoelectricity in situations where large strain or electric field gradients develop.

Design and characterization of flexoelectric devices and metamaterials

Development of new concepts for the design of effectively piezoelectric metamaterials and devices from non-piezoelectric components.

Theoretical and computational modeling of flexo-photovoltaics

Development of a theoretical and computational framework for the simulation of flexo-photovoltaics aiming at the design and optimization of a new family of solar-cells.

Finished projects
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