A phenomenological constitutive theory for polycrystalline ferroelectric ceramics based on orientation distribution functions

Add to your list(s) Download to your calendar using vCal

• Dr Martin I. Idiart, Departamento de Aeronáutica, Facultad de Ingeniería, Universidad Nacional de La Plata / CONICET, Argentina
• Monday 10 February 2020, 14:00-15:00
• Oatley Seminar Room, Department of Engineering.

If you have a question about this talk, please contact Hilde Hambro.

A phenomenological constitutive theory for the ferro-electro-elastic response of polycrystalline ceramics with tetragonal perovskite structure is proposed. The state of a material point is characterized by an intrinsic polarization vector, an infinitesimal deformation tensor, and an internal variable representing the orientation distribution of c-axes of the ferroelectric domains at that point. A class of convex thermodynamic potentials in terms of these state variables is posited, and constitutive relations within the framework of generalized standard materials are then derived. The functional form of the dissipation is selected in such a way that it effects an order reduction of the constitutive description whereby the infinite-dimensional internal variable is reduced to finite-dimensional internal variables representing polarization and deformation due to ferroelectric switching, preserving at the same time the generalized standard structure of the theory. The resulting constitutive theory is able to reproduce most essential features of ferroelectric and ferroelastic behavior with minimal computational cost and, furthermore, generates stable predictions in contrast to current phenomenological theories in common use.

This talk is part of the Engineering - Mechanics and Materials Seminar Series series.

This talk is included in these lists:

• All Talks (aka the CURE list)
• Cambridge University Engineering Department Talks
• Cambridge talks
• Centre for Smart Infrastructure & Construction
• Computational Continuum Mechanics Group Seminars
• Engineering - Mechanics and Materials Seminar Series
• Engineering - Mechanics, Materials and Design (Div C) - talks and events
• Featured lists
• Interested Talks
• Lennard-Jones Centre external
• Oatley Seminar Room, Department of Engineering
• School of Technology
• Trust & Technology Initiative - interesting events
• bld31

Note that ex-directory lists are not shown.