2015
DOI: 10.1016/j.actamat.2014.10.011
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A coupled kinetic Monte Carlo–finite element mesoscale model for thermoelastic martensitic phase transformations in shape memory alloys

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Cited by 28 publications
(19 citation statements)
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“…In terms of thermodynamics, whenever B2 transform into B19 , the total free energy of the system (B2 + B19 ) increases as the developed internal strain increases the strain energy. Thus, to advance the transformation process, the temperature needs to decrease, and this reduces the total free energy of the system, thereby increasing the driving force on the remaining 2 Smart Materials Research B2 to transform into B19 [18,19]. Thus, to understand the martensitic phase transformation in NiTi SMA, it is very important to have knowledge of the evolution kinetics of various phases at the atomic level.…”
Section: Introductionmentioning
confidence: 99%
“…In terms of thermodynamics, whenever B2 transform into B19 , the total free energy of the system (B2 + B19 ) increases as the developed internal strain increases the strain energy. Thus, to advance the transformation process, the temperature needs to decrease, and this reduces the total free energy of the system, thereby increasing the driving force on the remaining 2 Smart Materials Research B2 to transform into B19 [18,19]. Thus, to understand the martensitic phase transformation in NiTi SMA, it is very important to have knowledge of the evolution kinetics of various phases at the atomic level.…”
Section: Introductionmentioning
confidence: 99%
“…The MT phenomenon in the case of x = 14.0 occurs via the application of an external uniaxial stress while not being cooling at zero stress and can be understood from the energy landscape for the austenite and martensite phases 46 . The free energies of the two phases are functions of temperature and stress and generally involve several sources (chemical free energy Δ G ch , mechanical energy E m , interfacial energy E i , surface energy E sf , stored elastic strain energy E el and frictional work E fr ).…”
Section: Resultsmentioning
confidence: 99%
“…The free energies of the two phases are functions of temperature and stress and generally involve several sources (chemical free energy Δ G ch , mechanical energy E m , interfacial energy E i , surface energy E sf , stored elastic strain energy E el and frictional work E fr ). The corresponding expression for the change in the Gibbs free energy (per unit volume) of a sample during transformation is shown as 46 :where γ i is the austenite/martensite interface energy per unit area, A i is the interfacial area, Δ γ sf is the difference in the surface energy per unit area, A sf is the specific surface area and   E el is the average increment in elastic strain energy density. The frictional work E fr is irreversible and is positive in both transformation directions.…”
Section: Resultsmentioning
confidence: 99%
“…Following the fuzzy approach, RAO and QIU (2011) presented a methodology for the fuzzy analyses of nonlinear rotor-bearing systems along with numerical results that were presented to demonstrate the computational feasibility of the proposed approach. LARA-MOLINA, KOROISHI and STEFFEN JR. (2015) analyzed the dynamics of flexible rotors under uncertain parameters modeled as fuzzy and fuzzy random variables. CAVALINI JR et al (2015) evaluated the dynamic behavior of a flexible rotor with three rigid discs, supported by two fluid film bearings.…”
Section: Uncertainty Analysis Reviewmentioning
confidence: 99%
“…LARA-MOLINA, KOROISHI and STEFFEN JR. (2015) analyzed the dynamics of flexible rotors under uncertain parameters modeled as fuzzy and fuzzy random variables. CAVALINI JR et al (2015) evaluated the dynamic behavior of a flexible rotor with three rigid discs, supported by two fluid film bearings. The uncertainties were considered as affecting the oil viscosity and the radial clearance of both bearings that support the machine.…”
Section: Uncertainty Analysis Reviewmentioning
confidence: 99%