Dynamic analysis of pseudoelastic SMA beam

Zbiciak, Artur

doi:10.1016/j.ijmecsci.2009.10.003

Cited by 34 publications

(20 citation statements)

References 13 publications

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“…However, it does not return along the same path in the σ-ε plane, exhibiting the pseudoelastic hysteresis effect shown in Fig. 3 6,7,9,14) . Further, the rotary Ni-Ti instrument functions as a rotating rod.…”

Section: Mathematical Modelmentioning

confidence: 95%

“…Based on relations formulated by Atanackovic and Achenbach 7) and more recently by Zbiciak 9) , it could be said that where maximum stress was at the outer layer of rotary Ni-Ti endodontic instrument, such stress distribution occurred only for small canal curvatures (large R). At this juncture, it is important to highlight that in existing literature, the bending of NiTi instruments was treated with the classical bending stress formulas 17) .…”

Section: M=mentioning

confidence: 99%

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Predicting in vivo failure of rotary nickel-titanium endodontic instruments under cyclic fatigue

et al. 2012

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The aim of this study was to examine the lifespan or number of cycles to failure of tapered rotary nickel-titanium (Ni-Ti) endodontic instruments. Simulated root canals with different curvatures were used to determine a relation between canal curvature and instrument lifespan. Using a novel mathematical model for the deformation of pseudoelastic Ni-Ti alloy, it was shown that maximum stress need not necessarily occur at the outer layer. On the basis of this observation, the Coffi n-Manson relation was modifi ed with parameters determined from this experiment. Results showed that the number of cycles to failure was infl uenced by the angle and radius of canal curvature and the size of instrument at the beginning of canal curvature. The resulting quantitative mathematical relation could be used to predict the lifespan of rotary Ni-Ti endodontic instruments under clinical conditions and thereby reduce the incidence of instrument failure in vivo.

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Section: Mathematical Modelmentioning

confidence: 95%

Section: M=mentioning

confidence: 99%

Predicting in vivo failure of rotary nickel-titanium endodontic instruments under cyclic fatigue

et al. 2012

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show abstract

“…The procedure of so called differential successions which may be used for this purpose has been described in [10][11][12]. Differential successions define additional relations which should be satisfied by the time derivatives of variables, describing the constitutive relation.…”

Section: Viscoelastoplastic Modelmentioning

confidence: 99%

Mathematical description of rheological properties of asphalt-aggregate mixes

Zbiciak¹

2013

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. The procedure of the formulation of constitutive equations for asphalt-aggregate mixes is based very often on rheological schemes composed of classical elastic, plastic and viscous elements. The parameters of these schemes can be obtained based on laboratory experiments. In order to obtain better curve fitting results one can use non-classical viscoelastic elements described by fractional derivatives. In this paper we present the characteristics of the fractional viscoelastic Huet-Sayegh model as well as the characteristics of an original simplified fractional model. The results have been obtained using algorithms of numerical calculation of inverse Laplace transforms. Then the proposal of an original rheological model including plasticity has been given. The non-linear differential constitutive relationships of such a model are presented in the paper. The results of computer simulations are also visualized. Finally, 3D viscoelasticplastic models of asphalt aggregatemixes are proposed. The models are based on a generalized macroscopic theory taking into account the effect of pressure-dependency on yielding.

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“…These materials are capable of returning from a xed shape to their original shape. This class of materials have been researched, developed, and used in a wide range of applications, such as advanced technologies in the aerospace and medical-related industries [2][3][4][5]. The Shape-Memory E ect (SME) is normally in-duced through external stimuli, e.g.…”

Section: Introductionmentioning

confidence: 99%

Developing a finite element beam theory for nanocomposite shape memory polymers with application to sustained release of drugs

Baghani

Dolatabadi²,

Baniassadi

2017

Scientia Iranica

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Abstract. In this paper, a thermodynamically consistent constitutive model, recently proposed for nanocomposite Shape-Memory Polymers (SMPs), is used as a basis for development of SMP beam element in a nite element framework. The beam theory utilized here is the Euler-Bernoulli beam theory with its basic assumptions. E ects of di erent materials as well as the geometric structural parameters, e.g. reinforcement (nano/micro-particles) volume fraction, viscosity coe cients, and external loads, on the thermomechanical response of the structure are studied in this work. The beam element numerical results are compared to those of 3D nite element modeling to verify validity of the beam element formulation and the assumptions made therein. This beam element provides us with a fast and reliable tool for simulation of structures, consisting of reinforced SMP beams. As an application, the developed nanocomposite SMP beam element could be used for numerical modeling of thermomechanical response of the drugs (e.g., theophylline) coated by lms of SMP nanocomposites. It is shown that the numerical results are in correspondence with those of the experiments reported for sustained release of SMPnanocomposite based drugs.

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Dynamic analysis of pseudoelastic SMA beam

Cited by 34 publications

References 13 publications

Predicting in vivo failure of rotary nickel-titanium endodontic instruments under cyclic fatigue

Predicting in vivo failure of rotary nickel-titanium endodontic instruments under cyclic fatigue

Mathematical description of rheological properties of asphalt-aggregate mixes

Developing a finite element beam theory for nanocomposite shape memory polymers with application to sustained release of drugs

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