Implicit constitutive relations for nonlinear magnetoelastic bodies.

Area of Science:

• Solid Mechanics
• Continuum Mechanics
• Materials Science

Background:

• Implicit constitutive relations have advanced elasticity theory.
• Previous work extended these models to electroelastic bodies.
• Classical models inadequately describe magnetoelastic phenomena.

Purpose of the Study:

• To develop implicit constitutive relations for magnetoelastic bodies.
• To model materials responding to magnetic stimuli beyond classical limitations.
• To provide a rational framework for magnetoelastic behavior.

Main Methods:

• Development of implicit constitutive relations for large deformations.
• Linearization of models for small displacement gradients.
• Application to boundary value problems.

Main Results:

• Successful development of implicit constitutive relations for magnetoelasticity.
• Linearized model explains phenomena classical models cannot.
• Solutions provided for slab and cylinder boundary value problems.

Conclusions:

• The developed implicit constitutive relations offer a superior framework for magnetoelasticity.
• The models accurately describe complex magnetoelastic phenomena.
• This work advances the understanding and application of magnetoelastic materials.