&lt;title&gt;Theory on nonlinear piezothermoelastic shell laminates&lt;/title&gt;

Tzou, H. S.; Bao, Yuequan; Ye, R.

doi:10.1117/12.175182

Cited by 4 publications

(2 citation statements)

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“…Note that the active buckling control and post-buckling analysis was considered by Krishna and Mei [43], Chandrashekhara and Bhatia [44], Wang and Varadan [45], Chróscielewski, Klosowski and Schmidt [46], and Lentzen and Schmidt [47]. Piezothermoelastic problems accounting for the von Kármán nonlinearity have been considered theoretically by Tzou et al [48], Pai et al [49], Reddy [50], and numerically by Oh et al [51,52].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Chróścielewski

Schmidt

Eremeyev

2018

Continuum Mech. Thermodyn.

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This paper addresses modeling and finite element analysis of the transient large-amplitude vibration response of thin rod-type structures (e.g., plane curved beams, arches, ring shells) and its control by integrated piezoelectric layers. A geometrically nonlinear finite beam element for the analysis of piezolaminated structures is developed that is based on the Bernoulli hypothesis and the assumptions of small strains and finite rotations of the normal. The finite element model can be applied to static, stability, and transient analysis of smart structures consisting of a master structure and integrated piezoelectric actuator layers or patches attached to the upper and lower surfaces. Two problems are studied extensively: (i) FE analyses of a clamped semicircular ring shell that has been used as a benchmark problem for linear vibration control in several recent papers are critically reviewed and extended to account for the effects of structural nonlinearity and (ii) a smart circular arch subjected to a hydrostatic pressure load is investigated statically and dynamically in order to study the shift of bifurcation and limit points, eigenfrequencies, and eigenvectors, as well as vibration control for loading conditions which may lead to dynamic loss of stability.

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Section: Introductionmentioning

confidence: 99%

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Chróścielewski

Schmidt

Eremeyev

2018

Continuum Mech. Thermodyn.

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“…The use of nonlinear constitutive relations to solve problems of elasticity has recently begun to be addressed by Carman and Reichik (1994a) in a simple generic plate. Tzou et al (1994) introduces geometric nonlinearities into coupled electromechanical shell solutions. Kannan and Dasgupta (1994) implemented a nonlinear finite element solution to model induced body moments in magnetostrictive materials.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Constitutive Relations for Magnetostrictive Materials with Applications to 1-D Problems

Carman

Mitrovic

1995

Journal of Intelligent Material Systems and Structures

147

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In this paper, we present a nonlinear constitutive relation for magnetostrictive materials that includes nonlinear coupling effects arising between temperature/preload and magnetic field strengths. The relations are derived from thermodynamic principles using Gibbs free energy expanded in a Taylor series with only the pertinent constants included as determined from experimental evidence present in existing literature. By assuming that the magnetostrictive material is operated in a biased magnetic field and perturbing this field with a small value, relations between the nonlinear material constants and linear coefficients present in existing literature are derived. The accuracy of the nonlinear constitutive relation is evaluated by comparing experimental results obtained on a Terfenol-D rod operating under both magnetic field and stress biases with theoretical values. Results indicate that the model adequately predicts the nonlinear strain/field relations in specific regimes. The nonlinear constitutive relations are also integrated into a 1-dimensional nonlinear finite element model for studying structural components. The coupled magneto elasticity problem is derived using a weighted residual method along with a Newton-Raphson iteration technique. Results of the analytical model indicate that linear approaches are inappropriate for modeling the response of this material in a structure.

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Micromechanics models for non-linear behavior of piezo-electric fiber reinforced composite materials

Tan

Tong

2001

International Journal of Solids and Structures

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<title>Theory on nonlinear piezothermoelastic shell laminates</title>

Cited by 4 publications

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Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Nonlinear Constitutive Relations for Magnetostrictive Materials with Applications to 1-D Problems

Micromechanics models for non-linear behavior of piezo-electric fiber reinforced composite materials

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