Skip to main content
Evolution of Phase Transitions
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 39
  • Cited by
    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Freidin, A. Morozov, N. Petrenko, S. and Vilchevskaya, E. 2016. Chemical reactions in spherically symmetric problems of mechanochemistry. Acta Mechanica, Vol. 227, Issue. 1, p. 43.

    Ghosh, Dipankar Bah, Abubakarr Carman, Gregory P and Ravichandran, Guruswami 2016. An experimental investigation of domain wall motion in polycrystalline Ni during high-rate compressive loading. Smart Materials and Structures, Vol. 25, Issue. 1, p. 01LT03.

    Jiang, Dongjie Landis, Chad M. and Kyriakides, Stelios 2016. Effects of Tension/Compression Asymmetry on the Buckling and Recovery of NiTi Tubes Under Axial Compression. International Journal of Solids and Structures,

    Kim, Oleg V. Liang, Xiaojun Litvinov, Rustem I. Weisel, John W. Alber, Mark S. and Purohit, Prashant K. 2016. Foam-like compression behavior of fibrin networks. Biomechanics and Modeling in Mechanobiology, Vol. 15, Issue. 1, p. 213.

    Agrawal, Vaibhav and Dayal, Kaushik 2015. A dynamic phase-field model for structural transformations and twinning: Regularized interfaces with transparent prescription of complex kinetics and nucleation. Part I: Formulation and one-dimensional characterization. Journal of the Mechanics and Physics of Solids, Vol. 85, p. 270.

    Altenbach, H. Naumenko, K. L’vov, G. Sukiasov, V. and Podgorny, A. 2015. Prediction of Accumulation of Technological Stresses in a Pipeline Upon its Repair by a Composite Band. Mechanics of Composite Materials, Vol. 51, Issue. 2, p. 139.

    Faran, Eilon and Shilo, Doron 2015. Multi-Scale Dynamics of Twinning in SMA. Shape Memory and Superelasticity, Vol. 1, Issue. 2, p. 180.

    Freidin, A. B. 2015. On the chemical affinity tensor for chemical reactions in deformable materials. Mechanics of Solids, Vol. 50, Issue. 3, p. 260.

    Gavrilov, Serge N. and Shishkina, Ekaterina V. 2015. A strain-softening bar revisited. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 95, Issue. 12, p. 1521.

    Gavrilov, S. N. and Shishkina, E. V. 2015. 2015 Days on Diffraction (DD). p. 1.

    Piccardo, Giuseppe D’Annibale, Francesco and Zulli, Daniele 2015. On the contribution of Angelo Luongo to Mechanics: in honor of his 60th birthday. Continuum Mechanics and Thermodynamics, Vol. 27, Issue. 4-5, p. 507.

    Rizzoni, R. Chiozzi, A. Merlin, M. and Tralli, A. 2015. Comparative Assessment of Two Constitutive Models for Superelastic Shape-Memory Wires Against Experimental Measurements. Mechanics of Advanced Materials and Structures, Vol. 22, Issue. 9, p. 731.

    Faran, E. and Shilo, D. 2014. Dynamics of twin boundaries in ferromagnetic shape memory alloys. Materials Science and Technology, Vol. 30, Issue. 13, p. 1545.

    Fischer, F. D. Predan, J. Müller, R. and Kolednik, O. 2014. On problems with the determination of the fracture resistance for materials with spatial variations of the Young’s modulus. International Journal of Fracture, Vol. 190, Issue. 1-2, p. 23.

    Vilchevskaya, Elena N. Ivanova, Elena A. and Altenbach, Holm 2014. Description of liquid–gas phase transition in the frame of continuum mechanics. Continuum Mechanics and Thermodynamics, Vol. 26, Issue. 2, p. 221.

    Zhao, Qingze and Purohit, Prashant K 2014. Extracting a kinetic relation from the dynamics of a bistable chain. Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue. 4, p. 045004.

    Făciu, Cristian and Molinari, Alain 2013. The structure of shock and interphase layers for a heat conducting Maxwellian rate-type approach to solid–solid phase transitions. Acta Mechanica, Vol. 224, Issue. 11, p. 2577.

    Fischer, F D Harrington, M J and Fratzl, P 2013. Thermodynamic modeling of a phase transformation in protein filaments with mechanical function. New Journal of Physics, Vol. 15, Issue. 6, p. 065004.

    Graczykowski, B Mielcarek, S Breczewski, T No, M L San-Juan, J and Mroz, B 2013. Martensitic phase transition in Cu–14%Al–4%Ni shape memory alloys studied by Brillouin light scattering. Smart Materials and Structures, Vol. 22, Issue. 8, p. 085027.

    Jiang, Jinfeng and Xu, Yan 2013. Local Discontinuous Galerkin Method for the Impact-Induced Wave in a Slender Cylinder Composed of a Non-Convex Elastic Material. Communications in Mathematics and Statistics, Vol. 1, Issue. 4, p. 393.

  • Export citation
  • Recommend to librarian
  • Recommend this book

    Email your librarian or administrator to recommend adding this book to your organisation's collection.

    Evolution of Phase Transitions
    • Online ISBN: 9780511547133
    • Book DOI:
    Please enter your name
    Please enter a valid email address
    Who would you like to send this to? *
  • Buy the print book

Book description

This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.


Review of the hardback:'Wherever possible, Abeyaratne and Knowles connect phenomenological and experimental results. Aside from comparisons between analytical predictions and experiments on shape-memory wires, the authors use their framework to model experiments involving phase transformations induced by high-speed impact. To some extent, links between atomistic and continuum models for kinetics are also explored. This book is a unique, valuable, and elegantly written contribution to the literature on phase transformations. It should be included in the library of any mechanician, applied mathematician, or material scientist interested in martensitic alloys. Others working on broader classes of phase transformations will also find this book to be worthwhile reading. It is physically well-motivated, mathematically sound, and eminently clear.'

Source: Theoretical and Computational Fluid Dynamics

    • Aa
    • Aa
Refine List
Actions for selected content:
Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Send to Kindle
  • Send to Dropbox
  • Send to Google Drive
  • Send content to

    To send content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to .

    To send content to your Kindle, first ensure is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

    Note you can select to send to either the or variations. ‘’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

    Find out more about the Kindle Personal Document Service.

    Please be advised that item(s) you selected are not available.
    You are about to send:

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.


Full text views

Total number of HTML views: 0
Total number of PDF views: 213 *
Loading metrics...

Book summary page views

Total views: 183 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 19th August 2017. This data will be updated every 24 hours.