Disorder-Driven Pretransitional Tweed in Martensitic Transformations

Abstract

Defying the conventional wisdom regarding first--order transitions, {\it solid--solid displacive transformations} are often accompanied by pronounced pretransitional phenomena. Generally, these phenomena are indicative of some mesoscopic lattice deformation that ``anticipates'' the upcoming phase transition. Among these precursive effects is the observation of the so-called ``tweed'' pattern in transmission electron microscopy in a wide variety of materials. We have investigated the tweed deformation in a two dimensional model system, and found that it arises because the compositional disorder intrinsic to any alloy conspires with the natural geometric constraints of the lattice to produce a frustrated, glassy phase. The predicted phase diagram and glassy behavior have been verified by numerical simulations, and diffraction patterns of simulated systems are found to compare well with experimental data. Analytically comparing to alternative models of strain-disorder coupling, we show that the present model best accounts for experimental observations.

43 pages in TeX, plus figures. Most figures supplied separately in uuencoded format. Three other figures available via anonymous ftp.

Cited by in corpus (61)

• Shape memory ferromagnets
• Ferroelastic Dynamics and Strain Compatibility
• First order magnetic transition in CeFe${}_2$ alloys: Phase-coexistence and metastability
• Three-Dimensional Elastic Compatibility: Twinning in Martensites
• Metastability and magnetic memory effect in Ni-Mn-Sn alloy
• Simulations of cubic-tetragonal ferroelastics
• Mechano-chemical spinodal decomposition: A phenomenological theory of phase transformations in multi-component, crystalline solids
• Sharp magnetization step across the ferromagnetic to antiferromagnetic transition in doped-CeFe${}_2$ alloys
• A minimal integer automaton behind crystal plasticity
• Cooperative elastic fluctuations provide tuning of the metal-insulator transition
• Elastic Deformation of Polycrystals
• Elasticity-driven Nanoscale Texturing in Complex Electronic Materials
• On the critical nature of plastic flow: one and two dimensional models
• Power law statistics of avalanches in martensitic transformation
• Diffuse interface approach to brittle fracture
• On maturation of crack patterns
• Microstructure and mechanical properties of constrained shape-memory alloy nanograins and nanowires
• Time evolution of tetragonal-orthorhombic ferroelastics
• Towards the ab initio based theory of the phase transformations in iron and steel
• Defect-induced incompatibility of elastic strains: dislocations within the Landau theory of martensitic phase transformations
• Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
• A Simple Spin Glass Perspective on Martensitic Shape-memory Alloys
• Acoustic Emission and Shape Memory Effect in the Martensitic Transformation
• Effect of surface induced nucleation of ferroelastic domains on polarization switching behavior in constrained ferroelectrics
• Role of magnetic degrees of freedom in a scenario of phase transformations in steel
• Shape Memory Alloy Nanostructures With Coupled Dynamic Thermo-Mechanical Effects
• Nucleation in Systems with Elastic Forces
• Effect of lattice mismatch-induced strains on coupled diffusive and displacive phase transformations
• Origin of scale-free intermittency in structural first-order phase transitions
• Misfit stabilized embedded nanoparticles in metallic alloys
• A new paradigm for modulated phases in multi-stage structural transformations
• Unconventional short-range structural fluctuations in cuprate high-$T_c$ superconductors
• Different universality classes at the yielding transition of amorphous systems
• Thermodynamics of volume collapse transitions in cerium and related compounds
• Soft modes and strain redistribution in continuous models of amorphous plasticity: the Eshelby paradigm, and beyond?
• Simulations of Spinodal Nucleation in Systems with Elastic Interactions
• Landau modeling of dynamical nucleation of martensite at grain boundaries under local stress
• Effect of magnetism on kinetics of "gamma"-"alpha" transformation and pattern formation in iron
• Modeling plasticity of amorphous composites: Scalar is not enough
• Autocatalytic mechanism of pearlite transformation in steel
• Coarse-graining microscopic strains in a harmonic, two-dimensional solid and its implications for elasticity: non-local susceptibilities and non-affine noise
• Collective behavior in the kinetics and equilibrium of solid-state photoreaction
• Scaled free energies, power-law potentials, strain pseudospins and quasi-universality for first-order structural transitions
• Phase field simulations of coupled phase transformations in ferroelastic-ferroelastic nanocomposites
• Continuous Elastic Phase Transitions in Pure and Disordered Crystals
• Modelling avalanches in martensites
• Atomic-scale tracking of topological defect motion and incommensurate charge order melting
• Morphologies of expansion ridges of elastic thin films onto a substrate
• On the incompatibility of strains and its application to mesoscopic studies of plasticity
• A model solid-state structural transformation: Tetragonal to Orthorhombic
• Re-equilibration after quenches in athermal martensites:Conversion-delays for vapour to liquid domain-wall phases
• Understanding glassy phenomena in materials
• Defect-induced condensation and central peak at elastic phase transitions
• A two dimensional model for ferromagnetic martensites
• Broken Dynamic Symmetry and Phase Transition Precursor
• Dynamical scaling for underdamped strain order parameters quenched below first-order phase transitions
• Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality
• Responses of Pre-transitional Materials with Stress-Generating Defects to External Stimuli: Superelasticity, Supermagnetostriction, Invar and Elinvar Effects
• Intermediate states at structural phase transition: Model with a one-component order parameter coupled to strains
• Quasi-Spin Ising Model and Monte Carlo Simulation of Ferroelastic Phase Transition: 3D Diffuse Scattering and Displacement Short-Range Ordering in Pre-Martensitic State
• Elastic stripes formation at electronic transitions