μ-PRO®
μ for mesoscale and microstructure, PRO for property and professional.
Phase-field based, comprehensive simulation software packages.

We highly appreciate your acknowledgements and citations.
Please consider adding the following acknowledgement to your publications and presentations, and cite relevant articles from Dr. Long-Qing Chen's group and other Mu-PRO users.
The simulation results in this work were obtained using the software package from Mu-PRO (https://muprosoftware.com).
About the μ-PRO software suites
Our softwares allow material researchers in academia and industry to model and predict the temporal evolution of materials internal local microstructures and properties as well as overall responses of an entire microstructure under externally mechanical, electric or magnetic fields, and thus to guide the understanding of experimental observations on existing materials or the design and discovery of new materials microstructures.

Ferroelectric
For modeling 3D polarization domain structure evolution under external thermal, chemical, electrical, and mechanical stimuli in bulk single crystals, epitaxial thin films, and nanostructures.

Ferromagnetic
For modeling 3D temporal evolution of local magnetization in response to external mechanical, magnetic, current-induced spin torque stimuli in bulk, thin film, nanostructural crystalline and amorphous magnetic materials.

Effective properties
For computing effective properties of arbitrary microstructure ranging from diffusivity, thermal conductivity, electrical conductivity, elastic stiffness, dielectric permittivity to coupled properties such as piezoelectric coefficients, magnetoelectric coefficients with experimentally characterized or computed microstructures as inputs.

Impedance
Calculating the effective impedance under various frequencies given the permittivity, conductivity, and polarization distribution for a composite system.

Dielectric Breakdown
This module is a stochastic simulation program for predicting the breakdown path in dielectric materials. It simulates the breakdown path development within a dielectric composite material. The simulation system must be in rectangular shape, while arbitrary number of phases of any geometry can be considered in the simulation.

PREDICT
PREcipitation DIfussion and reaCTion module can perform phase-field simulations of microstructure evolution during precipitation as well as interdiffusion and reactions in multicomponent, multiphase systems involving both solution and stoichiometric phases.
Customize simulations to your needs with our SDK.
We are now undergoing migration from previous Mu-PRO server softwares to softwares developed based on the MuPRO SDK. For now only the new ferroelectric module has its beta release, other softwares are still under development.
The Mu-PRO SDK provides everything you need to get started building customized simulation program for your own use cases.
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