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
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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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
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