Generalized Plasticity and Uniaxial Constrained Recovery in Shape Memory Alloys

Kosel, Franc; Videnic, T.

doi:10.1080/15376490600864307

Cited by 16 publications

(15 citation statements)

References 12 publications

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“…Most other analytical results in the literature are based on 1-D models, accounting for various aspects of SMAs, e.g. stress-strain-temperature response of specific structures (wires (Brinson, Bekker, & Hwang, 1996;Marfia & Rizzoni, 2013), layer structures (Wu, Gordaninejad, & Wirtz, 1996) and actuators (Kosel & Videnic, 2007;Shaw & Churchill, 2009)) and bending of SMA beams (Auricchio & Sacco, 1997;Mirzaeifar, Desroches, Yavari, & Gall, 2013). However, the high-dimensional effect and strain softening behavior are not fulled taken into account, and they are crucial to determining the width of the transformation front (or PTR).…”

Section: Introductionmentioning

confidence: 98%

Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions

Song

Dai

2015

International Journal of Engineering Science

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Section: Introductionmentioning

confidence: 98%

Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions

Song

Dai

2015

International Journal of Engineering Science

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“…On the other hand, a new set of descriptors must be introduced, such as stress rate and amnesia. That is why numerous constitutive models have been proposed over the past 25 years to predict thermomechanical behavior [84][85][86][87][88][89][90][91][92][93][94][95][96][97].…”

Section: Introductionmentioning

confidence: 99%

Titanium and Titanium Alloy Applications in Medicine

Jackson

Kopač

Balažic

et al. 2016

Surgical Tools and Medical Devices

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Titanium is a transition metal. It is present in several minerals including rutile and ilmenite, which are well dispersed over the Earth's crust. Even though titanium is as strong as some steels, its density is only half of that of steel. Titanium is broadly used in a number of fields, including aerospace, power generation, automotive, chemical and petrochemical, sporting goods, dental and medical industries. The large variety of applications is due to its desirable properties, mainly the relative high strength combined with low density and enhanced corrosion resistance. This chapter discusses the applications of titanium and its alloys in the medical field. Metallurgical Aspects IntroductionAmong the metallic materials, titanium and its alloys are considered the most suitable materials in medical applications because they satisfy the property requirements better than any other competing materials, such as stainless steels, CrCo alloys, commercially pure (CP) Nb and CP Ta [1][2][3][4][5][6]. In terms of biomedical applications, the properties of interest are biocompatibility, corrosion behavior, mechanical behavior, ability to be processed, and availability [7][8][9].Titanium may be considered as being a relatively new engineering material. It was discovered much later than the other commonly used metals, its commercial application started in the late 1940s, mainly as structural material. Its usage as implant material began in the 1960s [10]. Despite the fact that titanium exhibits superior corrosion resistance and tissue acceptance when compared with stainless M.J. Jackson (&) Kansas State University, Salina, KS, USA e-mail: jacksonmj04@yahoo.com [11]. To overcome such restrictions, CP titanium was substituted by titanium alloys, particularly, the classic grade 5, i.e., Ti-6Al-4V alloy. The Ti-6Al-4V α + β-type alloy, the most worldwide utilized titanium alloy, was initially developed for aerospace applications [12,13]. Although this type of alloy is considered a good material for surgically implanted parts, recent studies have found that vanadium may react with the tissue of the human body [2]. In addition, aluminum may be related with neurological disorders and Alzheimer's disease [2]. To overcome the potential vanadium toxicity, two new vanadium-free α + β-type alloys were developed in the 1980s. Vanadium, a β-stabilizer element, was replaced by niobium and iron, leading to Ti-6Al-7Nb and Ti-5Al-2.5Fe (α + β)-type alloys [4,6,14]. While both alloys show mechanical and metallurgical behavior comparable to those of Ti-6Al-4V, a disadvantage is that they all contain aluminum in their compositions.In recent years, several studies have shown that the elastic behavior of α + β-type alloys is not fully suitable for orthopedic applications [15][16][17][18]. A number of studies suggest that unsatisfactory load transfer from the implant device to the neighboring bone may result in its degradation [9]. Also, numerical analyses of hip implants using finite element method indicate that the use of biomaterials wi...

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“…The principal aim of the present study is to develop a mathematical model of the biaxial or plane constrained recovery in SMA rings, using the generalized plasticity theory. Available publications on the process of constrained recovery are mostly limited only to uniaxial examples (Edwards et al, 1975;Mohamed, 1978;Furuya et al, 1988;Madangopal et al, 1988;Liang and Rogers, 1990;Proft and Duerig, 1990;Brinson, 1993;Stalmans et al, 1995Stalmans et al, , 1997Leclercq and Lexcellent, 1996;Sˇittner et al, 2000;Tsoi et al, 2002;Kato et al, 2004;Novak and Sˇittner, 2004;Kosel and Videnic, 2007) which is unusual because some of the most successful applications of the SMA to date are tube couplings (Borden, 1990;Kapgan and Melton, 1990). Recently, two articles have been published where SMA rings were constrained to recover in axial direction so that a uniaxial model can be used Hesse et al, 2004).…”

Section: Introduction Smentioning

confidence: 99%

Biaxial Constrained Recovery in Shape Memory Alloy Rings

Videnic

Kosel

Šajn

et al. 2007

Journal of Intelligent Material Systems and Structures

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In this article biaxial constrained recovery in a thick-walled shape memory alloy (SMA) ring with a rectangular cross-section is modeled using the theory of generalized plasticity, which is developed by Jacob Lubliner and Ferdinando Auricchio. As a mechanical obstacle that delays free recovery in a SMA ring, a steel ring is used. The result of constrained recovery is the generation of high stresses in both the rings. All equations are written in a closed form in terms of infinite series. Theoretical results are compared with experimental findings and good agreement is found when SMA rings are in the domain of recoverable strains.

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Generalized Plasticity and Uniaxial Constrained Recovery in Shape Memory Alloys

Cited by 16 publications

References 12 publications

Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions

Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions

Titanium and Titanium Alloy Applications in Medicine

Biaxial Constrained Recovery in Shape Memory Alloy Rings

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