A computational framework for the analysis of linear piezoelectric beams using hp-FEM

Poya, Roman; Gil, Antonio J.; Ledger, P.D.

doi:10.1016/j.compstruc.2015.01.012

Cited by 19 publications

(19 citation statements)

References 31 publications

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“…Using this approach, we may reduce the integration domain for the Maxwell stress contributions in equation (34) from S h 0 to S B;h 0 . This is motivated by the observation that this stress has a detectable influence only on B 0 and by the constraint requirements for ı' listed in equation (31).…”

Section: Finite Element Discretisationmentioning

confidence: 99%

“…We note that in all the aforementioned works for EAPs, only their material bodies were considered and discretised using the finite element method, which is a reasonable approach for simulating condensator‐like structures whose thickness is very small in comparison with other dimensions. However, unlike the simulation of piezoelectric materials under electric stimulation for which the electric field in the free space surrounding a material body can be in many cases ignored because of its minor importance, in dealing with EAPs, the contribution of the free space can, in some cases, become significant and must be taken into account . This is mainly because the electric permittivity of most EAPs is considerably weak; for many EAPs, it is of approximately one order greater magnitude than that of a vacuum .…”

Section: Introductionmentioning

confidence: 99%

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Computational electro‐elasticity and magneto‐elasticity for quasi‐incompressible media immersed in free space

Pelteret

Davydov

McBride

et al. 2016

Numerical Meth Engineering

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(2016) Computational electro-and magneto-elasticity for quasi-incompressible media immersed in free space. International Journal for Numerical Methods in Engineering, 108(11), pp. 1307-1342.There may be differences between this version and the published version. You are advised to consult the publisher's version if you wish to cite from it. This is the peer reviewed version of the following article: Pelteret, J. SUMMARYIn this work a mixed variational formulation to simulate quasi-incompressible electro-or magnetoactive polymers immersed in the surrounding free space is presented. A novel domain decomposition is used to disconnect the primary coupled problem and the arbitrary free space mesh update problem. Exploiting this decomposition we describe a block iterative approach to solving the linearised multiphysics problem, and a physically and geometrically based, three-parameter method to update the free space mesh. Several application-driven example problems are implemented to demonstrate the robustness of the mixed formulation for both electro-elastic and magneto-elastic problems involving both finite deformations and quasi-incompressible media.

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Section: Finite Element Discretisationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Computational electro‐elasticity and magneto‐elasticity for quasi‐incompressible media immersed in free space

Pelteret

Davydov

McBride

et al. 2016

Numerical Meth Engineering

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“…Energy based variational principle, such as principle of virtual displacement, minimization of total potential energy, etc. [58,[101][102][103][104], is mostly used to derive such element wise equation. However, force based formulation is also used [105].…”

Section: Numerical Methodmentioning

confidence: 99%

“…Use of laminated glass [96] as beam material is also reported in literature, in connection with civil structures. In addition, beam made of piezoelectric material [101] is also used as machine element that generates AC voltage when subjected to stress during operation. Beam bending under thermal loading is another example of beam anisotropy [91,98,99].…”

Section: Anisotropic Materialsmentioning

confidence: 99%

A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

Ghuku

Saha

2017

IJET

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Abstract. The paper presents a review on large deflection behavior of curved beams, as manifested through the responses under static loading. The term large deflection behavior refers to the inherent nonlinearity present in the analysis of such beam system response. The analysis leads to the field of geometric nonlinearity, in which equation of equilibrium is generally written in deformed configuration. Hence, the domain of large deflection analysis treats beam of any initial configuration as curved beam. The term curved designates the geometry of center line of beam, distinguishing it from the usual straight or circular arc configuration. Different methods adopted by researchers, to analyze large deflection behavior of beam bending, have been taken into consideration. The methods have been categorized based on their application in various formats of problems. The nonlinear response of a beam under static loading is also a function of different parameters of the particular problem. These include boundary condition, loading pattern, initial geometry of the beam, etc. In addition, another class of nonlinearity is commonly encountered in structural analysis, which is associated with nonlinear stress-strain relations and known as material nonlinearity. However the present paper mainly focuses on geometric nonlinear analysis of beam, and analysis associated with nonlinear material behavior is covered briefly as it belongs to another class of study. Research works on bifurcation instability and vibration responses of curved beams under large deflection is also excluded from the scope of the present review paper.

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“…Complete linearisation of the system results in quadratic convergence of the solution, reducing the total number of iterations required. Applications of this type of scheme to multifield problems have been extensively considered [93,26,121,194,209,199]. …”

Section: Monolithic Solversmentioning

confidence: 99%

A High Order Finite Element Coupled Multi-Physics Approach To MRI Scanner Design

Bagwell¹

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A computational framework for the analysis of linear piezoelectric beams using hp-FEM

Cited by 19 publications

References 31 publications

Computational electro‐elasticity and magneto‐elasticity for quasi‐incompressible media immersed in free space

Computational electro‐elasticity and magneto‐elasticity for quasi‐incompressible media immersed in free space

A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

A High Order Finite Element Coupled Multi-Physics Approach To MRI Scanner Design

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