&lt;title&gt;Nonlinear quasi-static finite element scheme for magnetized and deformable bodies including magnetostrictives&lt;/title&gt;

Kannan, Kidambi S.; Dasgupta, Abhijit

doi:10.1117/12.275689

Cited by 5 publications

(2 citation statements)

References 2 publications

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“…In this context, it is important to understand the essential inter-relationships that exist amongst constitutive properties, to identify a minimal set of easily measurable properties and to standardize procedures for their establishment. These issues are dealt with by the authors elsewhere [26].…”

Section: Discussion and Summarymentioning

confidence: 99%

A nonlinear Galerkin finite-element theory for modeling magnetostrictive smart structures

Kannan

Dasgupta

1997

Smart Mater. Struct.

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Materials such as Terfenol-D that are capable of giant magnetostriction are increasingly being used for sensing and actuation in active and adaptive structures. Designers of such adaptive structures need robust analytical and modeling tools for solving coupled electro-magneto-mechanical boundary value problems. While linear piezoelectric analysis is a standard feature of several general-purpose commercial finite-element codes, there are fewer tools for addressing the strong nonlinearities inherent in this class of problems. Electro-magneto-mechanical interactions manifest themselves not only through constitutive nonlinearities, but also through nonlinear terms in the governing equations. There have been recent works to deal with the constitutive nonlinearities in electrostriction and piezoelectricity, but a general computational framework for the comprehensive treatment of both these types of nonlinearity in magnetostrictives has not yet been developed. This paper presents a quasi-static variational principle and finite-element scheme to model the nonlinear interactions between mechanical and magnetic fields in magnetostrictive materials, incorporating both types of nonlinearity mentioned above. The basis of the finite-element scheme is presented here and applied to simulation of the actuation response of two actuator configurations. While the nonlinear scheme developed is of general three-dimensional nature, the application examples utilize material property data that pertain to the crystalline and geometrical symmetry of commercially produced Terfenol-D.

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Section: Discussion and Summarymentioning

confidence: 99%

A nonlinear Galerkin finite-element theory for modeling magnetostrictive smart structures

Kannan

Dasgupta

1997

Smart Mater. Struct.

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“…This model is based on the numerical solving of Maxwell's equation and classical mechanics equations, where the magnetic and mechanical properties of the materials are given from static characterization. A quasi-static variational principle and the finite element method have been used to model the nonlinearity interaction between mechanical and magnetic fields in magnetostrictive materials [3]. A magnetostrictive actuator has been modeled including a Terfenol-D rod, a magnetizing coil, permanent magnets and a magnetic circuit [4,5].…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis for acoustic characteristics of a magnetostrictive transducer

Kim¹,

Jung²

2005

Smart Mater. Struct.

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This paper presents a finite element analysis for a magnetostrictive transducer by taking into account the nonlinear behavior of the magnetostrictive material and fluid interaction. A finite element formulation is derived for the coupling of magnetostrictive and elastic materials based upon a separated magnetic and displacement field calculation and a curve fitting technique of material properties. The fluid and structure coupled problem is taken into account based upon pressure and velocity potential fields formulation. Infinite wave envelope elements are introduced at an artificial boundary to deal with the infinite fluid domain. A finite element code for the analysis of a magnetostrictive transducer is developed. A magnetostrictive tonpilz transducer is taken as an example and verification for the developed program is made by comparing with a commercial code. The acoustic characteristics of the magnetostrictive tonpilz transducer are calculated in terms of radiation pattern and transmitted current response.

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Smart materials and structures: FEM and BEM simulations A bibliography (1997–1999)

Mackerle

2001

Finite Elements in Analysis and Design

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<title>Nonlinear quasi-static finite element scheme for magnetized and deformable bodies including magnetostrictives</title>

Cited by 5 publications

References 2 publications

A nonlinear Galerkin finite-element theory for modeling magnetostrictive smart structures

A nonlinear Galerkin finite-element theory for modeling magnetostrictive smart structures

Finite element analysis for acoustic characteristics of a magnetostrictive transducer

Smart materials and structures: FEM and BEM simulations A bibliography (1997–1999)

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