DOI: 10.5061/dryad.280gb5mvn
title: Modeling of pressure induced magnetic and magnetocaloric effects in dissipative magnetic shape memory alloy systems

description: This article presents a coupled magneto-thermo-mechanical model of
 pressure-dependent Magneto-caloric Effect (MCE) and magnetization
 responses for polycrystalline Magnetic Shape Memory Alloys (MSMA). Coupled
 constitutive equations are derived from a Helmholtz free energy function
 in a consistent thermodynamic way. The hysteretic and dissipative
 characteristics of phase transformations in MSMAs are captured by the
 internal state variables approach with their evolution equations. The
 model is calibrated and validated with the existing experimental data. The
 validated constitutive model is then exploited to predict MCEs at
 different pressures and magnetic field levels. Some predicted results are
 compared with the available experimental data.
description: # Modeling of pressure-induced magnetic and magnetocaloric effects in
 dissipative magnetic shape memory alloy systems *** This is the brief
 summary of the dataset and code used in the simulations for the paper
 "Modeling of pressure-induced magnetic and magnetocaloric effects in
 dissipative magnetic shape memory alloy systems," accepted in
 Proceeding of Royal Society A with paper id RSPA-2023-0241. This
 repository contains the dataset and code used for simulations presented in
 the paper "Modeling of pressure-induced magnetic and magnetocaloric
 effects in dissipative magnetic shape memory alloy systems," which
 has been accepted in Proceeding of Royal Society A under paper ID
 RSPA-2023-0241. The project aims to simulate the magnetostructural
 transition (first-order) and pure phase transition (second-order) in
 magnetic shape memory alloys. Additionally, a continuum model has been
 developed to capture adiabatic temperature change and isentropic entropy
 during the heating and cooling of magnetic shape memory alloys. ##
 Description of the Data and code structure *** The project includes the
 experimental data and code used to simulate our model. ### File list: ***
 * model2.csv: * HvsT.csv: * sigVsT.csv: * MvsT1.csv: * MvsT.csv: *
 MCE\_experiment.csv: All the experiment data is taken from
 "Miroshkina ON, Sokolovskiy VV, Baigutlin DR, Zagrebin MA, Taskaev
 SV, Buchelnikov VD. 2020 Statistical model for the martensitic
 transformation simulation in Heusler alloys. Physica B: Condensed Matter
 578, 411874." and "Gottschall T. 2016 On the magnetocaloric
 properties of Heusler compounds: Reversible, time- and size-dependent
 effects of the martensitic phase transition. PhD thesis Technische
 Universität Darmstadt." ### Data specific information: ***
 DATA-SPECIFIC INFORMATION FOR: model2.csv 1. Number of variables: 2 2.
 Number of cases/rows: 38 3. Variable list: * The initial column/variable
 displays the temperature (K) within the purely magnetic phase (austenite).
 * The second column/variable showcases the magnetization dataset during
 the phase of pure austenitic composition. DATA-SPECIFIC INFORMATION FOR:
 HvsT.csv 1. Number of variables: 2 2. Number of cases/rows: 20 3. Variable
 list: * The first column/variable illustrates the crucial magnetic field
 (T) accountable for the phase transition in the absence of hydrostatic
 pressure. * The second column/variable demonstrates the essential
 temperature (K) responsible for the phase transition in the absence of
 hydrostatic pressure. DATA-SPECIFIC INFORMATION FOR: sigVsT.csv 1. Number
 of variables: 2 2. Number of cases/rows: 12 3. Variable list: * The first
 column/variable illustrates the critical hydrostatic pressure (GPa)
 accountable for the phase transition in the absence of a magnetic field. *
 The second column/variable demonstrates the essential temperature (K)
 responsible for the phase transition in the absence of a magnetic field.
 DATA-SPECIFIC INFORMATION FOR: MVsT1.csv 1. Number of variables: 2 2.
 Number of cases/rows: 55 3. Variable list: * The first column/variable
 displays the temperature (K) during the second order (pure magnetic)
 transition at 1 T magnetic field and 0.84 GPa hydrostatic pressure. * The
 second column/variable represents the essential magnetization
 (Am<sup>2</sup>/kg) during the second-order transition at 1 T
 magnetic field and 0.84 GPa hydrostatic pressure. DATA-SPECIFIC
 INFORMATION FOR: MVsT.csv 1. Number of variables: 6 2. Number of
 cases/rows: 69 3. Variable list: * The first column/variable displays the
 temperature (K) during the first order(magneto-structural) transition for
 1 T magnetic field and in the absence of hydrostatic pressure. * The
 second column/variable represents the magnetization
 (Am<sup>2</sup>/kg) during the first-order
 (magneto-structural) transition for the 1 T magnetic field and in the
 absence of hydrostatic pressure. * The third column/variable displays the
 temperature (K) during the first order(magneto-structural) transition for
 1 T magnetic field and 0.45 GPa hydrostatic pressure. * The fourth
 column/variable represents the magnetization
 (Am<sup>2</sup>/kg) during the first order(magneto-structural)
 transition for 1 T magnetic field and 0.45 GPa hydrostatic pressure. * The
 fifth column/variable displays the temperature (K) during the first
 order(magneto-structural) transition for 1 T magnetic field and 0.84 GPa
 hydrostatic pressure. * The sixth column/variable represents the
 magnetization (Am<sup>2</sup>/kg) during the first
 order(magneto-structural) transition for 1 T magnetic field and 0.84 GPa
 hydrostatic pressure. DATA-SPECIFIC INFORMATION FOR: MCE\_experiment.csv
 1. Number of variables: 6 2. Number of cases/rows: 19 3. Variable list: *
 The first column/variable displays the temperature (K) during the first
 order(magneto-structural) transition for 1 T magnetic field change and in
 the absence of hydrostatic pressure. * The second column/variable
 represents the Magnetocaloric effect(J/kgK) during the first
 order(magneto-structural) transition for 1 T magnetic field change and in
 the absence of hydrostatic pressure. * The third column/variable displays
 the temperature (K) during the first-order (magneto-structural) transition
 for 1 T magnetic field change and 0.45 GPa hydrostatic pressure. * The
 fourth column/variable represents the Magnetocaloric effect(J/kgK) during
 the first order(magneto-structural) transition for 1 T magnetic field
 change and 0.45 GPa hydrostatic pressure. * The fifth column/variable
 displays the temperature (K) during the first-order (magneto-structural)
 transition for 1 T magnetic field change and 0.84 GPa hydrostatic
 pressure. * The sixth column/variable represents the Magnetocaloric
 effect(J/kgK) during the first order(magneto-structural) transition for 1
 T magnetic field change and 0.84 GPa hydrostatic pressure. ##
 Author's Contribution *** Both authors have contributed equally in
 conceptualization, methodology, and analysis. The first author did all the
 coding, plots, and most of the manuscript preparation. The second author
 participated as a supervisor. ## Access Information *** The user can email
 "avinashthakur@iitb.ac.in" or
 "krishnendu@aero.iitb.ac.in" to get help with this project.