Skip to content

 

Esamples are currently unavailable. We are working to correct the issues as quickly as possible. Thank you for your patience. 

Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle
Cart
Register Sign in Wishlist

Evolution of Phase Transitions
A Continuum Theory

$143.00

  • Date Published: May 2006
  • availability: Available
  • format: Hardback
  • isbn: 9780521661478
Average user rating
(1 review)

$143.00
Hardback

Add to cart Add to wishlist

Other available formats:
Paperback, eBook


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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.

    • This work concerns 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
    • Models the thermal and mechanical loading of alloys
    • Models the effect of high-speed projectile impact experiments on metallic or ceramic targets
    Read more

    Customer reviews

    04th Jun 2014 by Cr7

    i love mechanics books on this websites, i am interested in mechanical engineering

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: May 2006
    • format: Hardback
    • isbn: 9780521661478
    • length: 260 pages
    • dimensions: 254 x 178 x 16 mm
    • weight: 0.67kg
    • availability: Available
  • Table of Contents

    Part I. Introduction:
    1. What this monograph is about
    2. Some experiments
    3. Continuum mechanics
    4. Quasilinear systems
    5. Outline of monograph
    Part II. Two-Well Potentials, Governing Equations and Energetics:
    1. Introduction
    2. Two-phase nonlinearly elastic materials
    3. Field equations and jump conditions
    4. Energetics of motion, driving force and dissipation inequality
    Part III. Equilibrium Phase Mixtures and Quasistatic Processes:
    1. Introduction
    2. Equilibrium states
    3. Variational theory of equilibrium mixtures of phases
    4. Quasistatic processes
    5. Nucleation and kinetics
    6. Constant elongation rate processes
    7. Hysteresis
    Part IV. Impact-Induced Transitions in Two-Phase Elastic Materials:
    1. Introduction
    2. The impact problem for trilinear two-phase materials
    3. Scale-invariant solutions of the impact problem
    4. Nucleation and kinetics
    5. Comparison with experiment
    6. Other types of kinetic relations
    7. Related work
    Part V. Multiple-Well Free Energy Potentials:
    1. Introduction
    2. Helmholtz free energy potential
    3. Potential energy function and the effect of stress
    4. Example 1: the van der Waals fluid
    5. Example 2: two-phase martensitic material with cubic and tetragonal phases
    Part VI. The Continuum Theory of Driving Force:
    1. Introduction
    2. Balance laws, field equations and jump conditions
    3. The second law of thermodynamics and the driving force
    Part VII. Thermoelastic Materials:
    1. Introduction
    2. The thermoelastic constitutive law
    3. Stability of a thermoelastic material
    4. A one-dimensional special case: uniaxial strain
    Part VIII. Kinetics and Nucleation:
    1. Introduction
    2. Nonequilibrium processes, thermodynamic fluxes and forces, kinetic relation
    3. Phenomenological examples of kinetic relations
    4. Micromechanically-based examples of kinetic relations
    5. Nucleation
    Part IX. Models for Two-Phase Thermoelastic Materials in One Dimension:
    1. Preliminaries
    2. Materials of Mie-Gruneisen type
    3. Two-phase Mie-Gruneisen materials
    Part X. Quasistatic Hysteresis in Two-Phase Thermoelastic Tensile Bars:
    1. Preliminaries
    2. Thermomechanical equilibrium states for a two-phase material
    3. Quasistatic processes
    4. Trilinear thermoelastic material
    5. Stress cycles at constant temperature
    6. Temperature cycles at constant stress
    7. The shape-memory cycle
    8. The experiments of Shaw and Kyriakides
    9. Slow thermomechanical processes
    Part XI. Dynamics of Phase Transitions in Uniaxially Strained Thermoelastic Solids:
    1. Introduction
    2. Uniaxial strain in adiabatic thermoelasticity
    3. The impact problem
    Part XII. Statics: Geometric Compatibility:
    1. Preliminaries
    2. Examples
    Part XIII. Dynamics: Impact-Induced Transition in a CuA1Nl Single Crystal:
    1. Introduction
    2. Preliminaries
    3. Impact without phase transformation
    4. Impact with phase transformation
    5. Application to austenite-B1 martensite transformation in CuA1Nl
    Part XIV. Quasistatics: Kinetics of Martensitic Twinning:
    1. Introduction
    2. The material and loading device
    3. Observations
    4. The model
    5. The energy of the system
    6. The effect of the transition layers: further observations
    7. The effect of the transition layers: further modeling
    8. Kinetics.

  • Authors

    Rohan Abeyaratne, Massachusetts Institute of Technology

    James K. Knowles, California Institute of Technology

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Find content that relates to you

© Cambridge University Press 2014

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×