All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Models of Dynamic Damage and Phase-field Fracture, and their Various Time Discretisations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F19%3A00517582" target="_blank" >RIV/61388998:_____/19:00517582 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/19:10403464

  • Result on the web

    <a href="https://www.springer.com/gp/book/9783030331153" target="_blank" >https://www.springer.com/gp/book/9783030331153</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-33116-0_14" target="_blank" >10.1007/978-3-030-33116-0_14</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Models of Dynamic Damage and Phase-field Fracture, and their Various Time Discretisations

  • Original language description

    Several variants of models of damage in viscoelastic continua under small strains in the Kelvin-Voigt rheology are presented and analyzed by using the Galerkin method. The particular case, known as a phase-field fracture approximation of cracks, is discussed in detail.All these models are dynamic (i.e. involve inertia to model vibrations or waves possibly emitted during fast damage/fracture or induced by fast varying forcing) and consider viscosity which is also damageable. Then various options for time discretisation are devised. Eventually,extensions to more complex rheologies or a modification for large strains are briefly exposed, too.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA19-04956S" target="_blank" >GA19-04956S: Dynamic and nonlinear behaviour of smart structures; modelling and optimization</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Topics in Applied Analysis and Optimisation

  • ISBN

    978-3-030-33115-3

  • Number of pages of the result

    24

  • Pages from-to

    363-396

  • Number of pages of the book

    369

  • Publisher name

    Springer

  • Place of publication

    Cham

  • UT code for WoS chapter