Logo - springer
Slogan - springer

Materials - Mechanics | Multiple Impacts in Dissipative Granular Chains

Multiple Impacts in Dissipative Granular Chains

Nguyen, Ngoc Son, Brogliato, Bernard

2014, XXII, 234 p. 109 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$99.00

(net) price for USA

ISBN 978-3-642-39298-6

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$129.00

(net) price for USA

ISBN 978-3-642-39297-9

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Presents generalities about multiple impacts  incl. definition, discrepancy with respect to single impacts, various classes of models for impacts, etc
  • Emphasis on granular chains of aligned balls, which is a topic of interest for both mechanicians and physicists working on granular matter, and more generally to anyone interested in complex impacts phenomena
  • Includes an experimental validation of the LZB model and wave propagation in granular chains

The extension of collision models for single impacts between two bodies, to the case of multiple impacts (which take place when several collisions occur at the same time in a multibody system) is a challenge in Solid Mechanics, due to the complexity of such phenomena, even in the frictionless case. This monograph aims at presenting the main multiple collision rules proposed in the literature. Such collisions typically occur in granular materials, the simplest of which are made of chains of aligned balls. These chains are used throughout the book to analyze various multiple impact rules which extend the classical Newton (kinematic restitution), Poisson (kinetic restitution) and Darboux-Keller (energetic or kinetic restitution) approaches for impact modelling. The shock dynamics in various types of chains of aligned balls (monodisperse, tapered, decorated, stepped chains) is carefully studied and shown to depend on several parameters: restitution coefficients, contact stiffness ratios, elasticity coefficients (linear or nonlinear force/ indentation relation), and kinetic angles (that depend on the mass ratios). The dissipation and the dispersion of kinetic energy during a multiple impact are mandatory modelling, and are quantified with suitable indices. Particular attention is paid to the ability of the presented laws to correctly predict the wave effects in the chains. Comparisons between many numerical and experimental results are shown, as well as comparisons between four different impact laws in terms of their respective abilities to correctly model dissipation and dispersion of energy.

Content Level » Research

Keywords » Binary Collisions - Dissipative Granular Chains - Frémond Approach - Generalized Kinematic Law - Han-Gilmore Approach - LZB Model - Multiple Impact Laws - Pfeiffer-Glocker Model

Related subjects » Classical Continuum Physics - Mechanics

Table of contents 

Introduction.- Multiple impacts in in granular chains.- Rigid-body multiple impact laws.- LZB multiple impact model.- Analysis and validation of the LZB model.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Continuum Mechanics and Mechanics of Materials.