TITLE

An upper bound to the free energy of mixing by twin-compatible lamination for n-variant martensitic phase transformations

AUTHOR(S)
Govindjee, S.; Hackl, K.; Heinen, R.
PUB. DATE
February 2007
SOURCE
Continuum Mechanics & Thermodynamics;Feb2007, Vol. 18 Issue 7/8, p443
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Modeling the energetic behavior of martensitic (phase transforming) materials usually leads to non quasiconvex energy formulations. For this reason, researchers often employ quasiconvex relaxation methods to improve the character of the formulation. Unfortunately, explicit expressions for the relaxed free energy density for multi-variant martensitic materials are typically not available. Thus, some researchers have employed a Reuβ-like convex lower bound, which neglects compatibility constraints, as an estimate on the free energy of mixing. To be confident with such a technique, one needs a measure of the quality of the lower bound. In this paper, we seek such a measure by comparing the Reuβ-like lower bound to an upper bound. The upper bound is constructed upon assumptions on the type of microstructures that form in such alloys. In particular, we consider lamination type microstructures which form by temperature- or stress-induced transformation in monoclinic and orthorhombic Copper-based alloys with cubic austenitic symmetry. Our results display a striking congruence of upper and lower bounds in the most relevant cases.
ACCESSION #
23819421

 

Related Articles

  • Evolution of the Entropy and Renyi Difference Information during Self-Organization of Open Additive Systems. Zaripov, R. // Russian Physics Journal;Mar2005, Vol. 48 Issue 3, p267 

    Evolution of the entropy and Renyi difference information is considered during transitions between stationary states in the space of control parameters for additive self-organization systems. S- and I-theorems on changes in the Renyi additive measures are proved under the Gibbs condition for the...

  • Phase Transitions in Delaunay Potts Models. Adams, Stefan; Eyers, Michael // Journal of Statistical Physics;Jan2016, Vol. 162 Issue 1, p162 

    We establish phase transitions for certain classes of continuum Delaunay multi-type particle systems (continuum Potts models) with infinite range repulsive interaction between particles of different type. In one class of the Delaunay Potts models studied the repulsive interaction is a triangle...

  • Activation energy for a model ferrous-ferric half reaction from transition path sampling. Drechsel-Grau, Christof; Sprik, Michiel // Journal of Chemical Physics;1/21/2012, Vol. 136 Issue 3, p034506 

    Activation parameters for the model oxidation half reaction of the classical aqueous ferrous ion are compared for different molecular simulation techniques. In particular, activation free energies are obtained from umbrella integration and Marcus theory based thermodynamic integration, which...

  • Enhanced reversibility and unusual microstructure of a phase-transforming material. Song, Yintao; Chen, Xian; Dabade, Vivekanand; Shield, Thomas W.; James, Richard D. // Nature;10/3/2013, Vol. 502 Issue 7469, p85 

    Materials undergoing reversible solid-to-solid martensitic phase transformations are desirable for applications in medical sensors and actuators, eco-friendly refrigerators and energy conversion devices. The ability to pass back and forth through the phase transformation many times without...

  • A space-time concept for martensitic phase transformation based on statistical physics. Oberaigner, E. R.; Fischlschweiger, M.; Antretter, T. // AIP Conference Proceedings;5/4/2011, Vol. 1353 Issue 1, p97 

    Understanding martensitic phase transformation (MPT) is of crucial importance for many engineering applications. Especially in polycrystalline shape memory alloys and steels one can observe phase transformations on several length and time scales. Those are firstly the atomistic length scale...

  • Analytical model for controlling a martensitic phase under loading. Andronov, I. N.; Bogdanov, N. P.; Ulyasheva, L. A. // Journal of Applied Mechanics & Technical Physics;Jul2009, Vol. 50 Issue 4, p708 

    A model for calculating the amount of martensitic phase is proposed based on the assumption that the derivative of this amount with respect to temperature is proportional to the product of the amounts of the martensitic and austenitic phases. The approach developed in the paper allows a reliable...

  • Reply to the Comment “No Robust Phases in Aerogel...”. Fomin, I. A. // JETP Letters;6/25/2005, Vol. 81 Issue 12, p650 

    The arguments of Volovik are refuted. © 2005 Pleiades Publishing, Inc.

  • Director dynamics near the nematic—smectic-A phase transition. Ul’yanov, S. V. // Journal of Experimental & Theoretical Physics;Dec98, Vol. 87 Issue 6, p1098 

    The Landau-de Gennes model for the free energy of a nematic liquid crystal near the phase transition to the smectic A-phase is used to determine the frequency dependence of the fluctuation corrections to the Frank elastic constants. It is shown that the interaction of the fluctuations of the...

  • A one-dimensional phase transition constitutive model. Wang, Wenqiang; Tang, Zhiping // AIP Conference Proceedings;2000, Vol. 505 Issue 1, p347 

    Defects always exist in real materials that cause stress concentration. When phase transition takes place, new phase nuclei form first at the positions of defects and then grow via phase boundary propagation. There is a certain relationship between the propagation speed of phase boundary and the...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics