One-dimensional constitutive SMA model with two martensite variants: analytical and numerical solutions

DOI10.1016/J.EUROMECHSOL.2013.01.007zbMath1406.74031OpenAlexW2022185504MaRDI QIDQ1668342

Sonia Marfia, Raffaella Rizzoni

Publication date: 3 September 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2013.01.007

zbMATH Keywords

analytical and numerical solutionstension-compression asymmetrynon-constant elastic propertiesone-dimensional SMA modelpseudo-elastic and shape memory effectstwo martensite variants

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Linear constitutive equations for materials with memory (74D05) Theory of constitutive functions in solid mechanics (74A20) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (3)

Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions ⋮ Analytical study on phase transition of shape memory alloy wire under uniaxial tension ⋮ A thermodynamical formulation for the constitutive modeling of a shape memory alloy with two martensite phases

Cites Work

• Unnamed Item
• A semi-analytic analysis of shape memory alloy thick-walled cylinders under internal pressure
• A constrained theory for single crystal shape memory wires with application to restrained recovery
• A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties
• Thermodynamics of shape memory alloy wire: Modeling, experiments, and application
• A continuum model of a thermoelastic solid capable of undergoing phase transitions
• Computational inelasticity
• Three-dimensional model for solids undergoing stress-induced phase transformations
• A uniaxial model for shape-memory alloys
• Analysis of an infinite shape memory alloy plate with a circular hole subjected to biaxial tension
• A thermodynamical constitutive model for shape memory materials. I: The monolithic shape memory alloy
• A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite
• On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material
• Temperature-induced phase transformation in a shape memory alloy: Phase diagram based kinetics approach
• Computational aspects of one-dimensional shape memory alloy modeling with phase diagrams
• A temperature-dependent beam for shape-memory alloys: Constitutive modelling, finite-element implementation and numerical simulations
• A constitutive model for shape memory alloys considering tensile-compressive asymmetry and plasticity
• Phenomenological 3D and 1D consistent models for shape-memory alloy materials
• A combined analytical, numerical, and experimental study of shape-memory-alloy helical springs
• Describing internal subloops due to incomplete phase transformations in shape memory alloys
• Shape Memory Alloys
• A 3D SMA constitutive model in the framework of finite strain
• Analysis of SMA composite laminates using a multiscale modelling technique
• THE FOUR-FERMION INTERACTION IN D = 2, 3, 4: A NONPERTURBATIVE TREATMENT
• A three‐dimensional model describing stress‐temperature induced solid phase transformations: solution algorithm and boundary value problems
• Anatomization of hysteresis loops in pure bending of ideal pseudoelastic SMA beams
• Pressurized shape memory thin films

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