Skip to content
Register Sign in Wishlist

Nonlinear Solid Mechanics
Bifurcation Theory and Material Instability


  • Author: Davide Bigoni, Universit√† degli Studi di Trento, Italy
  • Date Published: July 2014
  • availability: Available
  • format: Paperback
  • isbn: 9781107699502

$ 93.99

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an evaluation copy?

This title is not currently available for evaluation. However, if you are interested in the title for your course we can consider offering an evaluation copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling of the emergence of local instabilities such as shear band formation and flutter of a continuum. The former is regarded as a precursor of fracture, while the latter is typical of granular materials. The treatment is complemented with qualitative experiments, illustrations from everyday life and simple examples taken from structural mechanics.

    • Addresses complex modelling of the behaviour of materials under extreme mechanical conditions
    • Deals with failure in terms of nonlinear continuum mechanics and instability theory
    • Subject matter is explained with qualitative experiments, illustrations from everyday life and simple examples taken from structural mechanics
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    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: July 2014
    • format: Paperback
    • isbn: 9781107699502
    • length: 554 pages
    • dimensions: 254 x 178 x 28 mm
    • weight: 0.95kg
    • contains: 235 b/w illus. 18 colour illus. 10 tables
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Elements of tensor algebra and analysis
    3. Solid mechanics at finite strains
    4. Isotropic nonlinear hyperelasticity
    5. Solutions of simple problems in finitely deformed nonlinear elastic solids
    6. Constitutive equations and anisotropic elasticity
    7. Yield functions with emphasis on pressure-sensitivity
    8. Elastoplastic constitutive equations
    9. Moving discontinuities and boundary value problems
    10. Global conditions of uniqueness and stability
    11. Local conditions for uniqueness and stability
    12. Bifurcation of elastic solids deformed incrementally
    13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity
    14. Wave propagation, stability and bifurcation
    15. Post-critical behaviour and multiple shear band formation
    16. A perturbative approach to material instability.

  • Resources for

    Nonlinear Solid Mechanics

    Davide Bigoni

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email

  • Author

    Davide Bigoni, Università degli Studi di Trento, Italy
    Davide Bigoni is Professor of Solid and Structural Mechanics at the University of Trento, Italy, where he has been head of the Department of Mechanical and Structural Engineering for the past ten years. He was honored as a Euromech Fellow of the European Mechanics Society. He is co-editor of the Journal of Mechanics of Materials and Structures (an international journal founded by C. R. Steele) and is associate editor of Mechanics Research Communications. He co-edited, with Deseri Luca, Recent Progress in the Mechanics of Defects (2011).

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

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

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


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.